* algebra/term.spad.pamphlet (zero?$Arity): New.

(one?$Arity): Likewise. * algebra/op.spad.pamphlet (BasicOperator): Now belongs to OperatorCategory(Symbol). (operator$BasicOperator): One more overload. * algebra/expr.spad.pamphlet (operator$Expression): Tidy. * algebra/fspace.spad.pamphlet (elt$ExpressionSpace): Likewise. * algebra/kl.spad.pamphlet (kernel$Kernel): Likewise.
author: dos-reis <gdr@axiomatics.org> 2009-05-09 22:31:07 +0000
committer: dos-reis <gdr@axiomatics.org> 2009-05-09 22:31:07 +0000
commit: 2e9dc79676f737f2b905560a8a70d8fbed27b04a (patch)
tree: d60514a4e0de2779d03b35d4441998e96f3549c4 /src/share/algebra
parent: 4b4a0dc6ce39b7ee849f81ddf66355713f0cbf27 (diff)
download: open-axiom-2e9dc79676f737f2b905560a8a70d8fbed27b04a.tar.gz
5 files changed, 21755 insertions, 21749 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index a767c6a0..bbf70d39 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
 
-(2283967 . 3450528888)       
+(2284013 . 3450896460)       
 (-18 A S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
 NIL 
@@ -56,7 +56,7 @@ NIL
 ((|constructor| (NIL "This domain represents the syntax for an add-expression.")) (|body| (((|SpadAst|) $) "base(\\spad{d}) returns the actual body of the add-domain expression \\spad{`d'}.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression."))) 
 NIL 
 NIL 
-(-32 R -3438) 
+(-32 R -2210) 
 ((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p,{} n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p,{} x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p,{} y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}."))) 
 NIL 
 ((|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) 
@@ -88,11 +88,11 @@ NIL
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{} [a1,{}...,{}an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) 
 NIL 
 NIL 
-(-40 -3438 UP UPUP -3756) 
+(-40 -2210 UP UPUP -4347) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) 
 ((-4405 |has| (-407 |#2|) (-363)) (-4410 |has| (-407 |#2|) (-363)) (-4404 |has| (-407 |#2|) (-363)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-4012 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-4012 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-4012 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-4012 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) 
-(-41 R -3438) 
+((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2713 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2713 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2713 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2713 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) 
+(-41 R -2210) 
 ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,{}f,{}n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f,{} [a1,{}...,{}an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f,{} [a1,{}...,{}an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f,{} a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
 ((-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) 
@@ -111,7 +111,7 @@ NIL
 (-45 |Key| |Entry|) 
 ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) 
 ((-4412 . T) (-4413 . T)) 
-((-4012 (-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|))))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|))))))) 
+((-2713 (-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|))))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-847))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|))))))) 
 (-46 S R E) 
 ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,{}e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,{}e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 NIL 
@@ -144,12 +144,12 @@ NIL
 ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p,{} f,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) 
 NIL 
 NIL 
-(-54 |Base| R -3438) 
+(-54 |Base| R -2210) 
 ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,{}ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,{}...,{}rn],{} expr,{} n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,{}...,{}rn],{} expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) 
 NIL 
 NIL 
 (-55) 
-((|constructor| (NIL "This domain implements the arity of a function or an operator,{} \\spadignore{e.g.} the number of arguments that an operator can take. An arity is either a definition nonnegative integer,{} and the special value `arbitrary',{} signifying that an operation can take any number of arguments.")) (|arbitrary| (($) "aribitrary is the arity of a function that accepts any number of arguments."))) 
+((|constructor| (NIL "This domain implements the arity of a function or an operator,{} \\spadignore{e.g.} the number of arguments that an operator can take. An arity is either a definition nonnegative integer,{} and the special value `arbitrary',{} signifying that an operation can take any number of arguments.")) (|one?| (((|Boolean|) $) "\\spad{one? a} holds if \\spad{a} is the arity of nullary function.")) (|zero?| (((|Boolean|) $) "\\spad{zero? a} holds if \\spad{a} is the arity of niladic function.")) (|arbitrary| (($) "aribitrary is the arity of a function that accepts any number of arguments."))) 
 NIL 
 NIL 
 (-56 S R |Row| |Col|) 
@@ -167,64 +167,64 @@ NIL
 (-59 S) 
 ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,{}s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-60 R) 
 ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
-(-61 -4337) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+(-61 -2540) 
 ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim}      SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT)      DOUBLE PRECISION ELAM,P,Q,X,DQDL      INTEGER JINT      P=1.0D0      Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X)      DQDL=1.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-62 -4337) 
+(-62 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim}      SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO)      DOUBLE PRECISION ELAM,FINFO(15)      INTEGER MAXIT,IFLAG      IF(MAXIT.EQ.-1)THEN        PRINT*,\"Output from Monit\"      ENDIF      PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4)      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) 
 NIL 
 NIL 
-(-63 -4337) 
+(-63 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim}      SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC)      DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N)      INTEGER M,N,LJC      INTEGER I,J      DO 25003 I=1,LJC        DO 25004 J=1,N          FJACC(I,J)=0.0D025004   CONTINUE25003 CONTINUE      FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/(     &XC(3)+15.0D0*XC(2))      FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/(     &XC(3)+7.0D0*XC(2))      FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333     &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2))      FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/(     &XC(3)+3.0D0*XC(2))      FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)*     &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2))      FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333     &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2))      FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)*     &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2))      FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+     &XC(2))      FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714     &286D0)/(XC(3)+XC(2))      FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666     &6667D0)/(XC(3)+XC(2))      FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3)     &+XC(2))      FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3)     &+XC(2))      FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333     &3333D0)/(XC(3)+XC(2))      FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X     &C(2))      FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3     &)+XC(2))      FJACC(1,1)=1.0D0      FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2)      FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2)      FJACC(2,1)=1.0D0      FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2)      FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2)      FJACC(3,1)=1.0D0      FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/(     &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)     &**2)      FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666     &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2)      FJACC(4,1)=1.0D0      FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2)      FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2)      FJACC(5,1)=1.0D0      FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399     &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2)      FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999     &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2)      FJACC(6,1)=1.0D0      FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/(     &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)     &**2)      FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333     &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2)      FJACC(7,1)=1.0D0      FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/(     &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)     &**2)      FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428     &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2)      FJACC(8,1)=1.0D0      FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(9,1)=1.0D0      FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)*     &*2)      FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)*     &*2)      FJACC(10,1)=1.0D0      FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(11,1)=1.0D0      FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(12,1)=1.0D0      FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(13,1)=1.0D0      FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(14,1)=1.0D0      FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(15,1)=1.0D0      FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-64 -4337) 
+(-64 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim}      DOUBLE PRECISION FUNCTION F(X)      DOUBLE PRECISION X      F=DSIN(X)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-65 -4337) 
+(-65 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim}      SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX)      DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH)      INTEGER JTHCOL,N,NROWH,NCOLH      HX(1)=2.0D0*X(1)      HX(2)=2.0D0*X(2)      HX(3)=2.0D0*X(4)+2.0D0*X(3)      HX(4)=2.0D0*X(4)+2.0D0*X(3)      HX(5)=2.0D0*X(5)      HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6))      HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6))      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-66 -4337) 
+(-66 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim}      SUBROUTINE FUNCT1(N,XC,FC)      DOUBLE PRECISION FC,XC(N)      INTEGER N      FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5     &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X     &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+     &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC(     &2)+10.0D0*XC(1)**4+XC(1)**2      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-67 -4337) 
+(-67 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim}      FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK)      INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK)      DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1     &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W(     &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1     &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W(     &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8))     &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7)     &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0.     &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3     &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W(     &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1)      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-68 -4337) 
+(-68 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim}      SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK)      INTEGER N,LIWORK,IFLAG,LRWORK      W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00     &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554     &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365     &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z(     &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0.     &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050     &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z     &(1)      W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010     &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136     &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D     &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8)     &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532     &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056     &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1     &))      W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0     &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033     &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502     &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D     &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(-     &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961     &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917     &D0*Z(1))      W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0.     &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688     &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315     &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z     &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0     &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802     &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0*     &Z(1)      W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+(     &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014     &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966     &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352     &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6))     &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718     &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851     &6D0*Z(1)      W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048     &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323     &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730     &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z(     &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583     &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700     &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1)      W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0     &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843     &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017     &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z(     &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136     &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015     &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1     &)      W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05     &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338     &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869     &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8)     &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056     &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544     &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z(     &1)      W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(-     &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173     &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441     &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8     &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23     &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773     &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z(     &1)      W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0     &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246     &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609     &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8     &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032     &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688     &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z(     &1)      W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0     &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830     &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D     &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8)     &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493     &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054     &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1)      W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(-     &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162     &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889     &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8     &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0.     &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226     &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763     &75D0*Z(1)      W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+(     &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169     &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453     &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z(     &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05     &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277     &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0     &*Z(1)      W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15))     &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236     &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278     &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D     &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0     &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660     &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903     &02D0*Z(1)      W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0     &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325     &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556     &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D     &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0.     &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122     &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z     &(1)      W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0.     &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669     &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114     &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z     &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0     &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739     &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0*     &Z(1)      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-69 -4337) 
+(-69 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim}      SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D)      DOUBLE PRECISION D(K),F(K)      INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE      CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D)      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) 
 NIL 
 NIL 
-(-70 -4337) 
+(-70 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim}      SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK)      INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE      DOUBLE PRECISION A(5,5)      EXTERNAL F06PAF      A(1,1)=1.0D0      A(1,2)=0.0D0      A(1,3)=0.0D0      A(1,4)=-1.0D0      A(1,5)=0.0D0      A(2,1)=0.0D0      A(2,2)=1.0D0      A(2,3)=0.0D0      A(2,4)=0.0D0      A(2,5)=-1.0D0      A(3,1)=0.0D0      A(3,2)=0.0D0      A(3,3)=1.0D0      A(3,4)=-1.0D0      A(3,5)=0.0D0      A(4,1)=-1.0D0      A(4,2)=0.0D0      A(4,3)=-1.0D0      A(4,4)=4.0D0      A(4,5)=-1.0D0      A(5,1)=0.0D0      A(5,2)=-1.0D0      A(5,3)=0.0D0      A(5,4)=-1.0D0      A(5,5)=4.0D0      IF(MODE.EQ.1)THEN        CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1)      ELSEIF(MODE.EQ.2)THEN        CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1)      ENDIF      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-71 -4337) 
+(-71 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE PEDERV(X,Y,PW)      DOUBLE PRECISION X,Y(*)      DOUBLE PRECISION PW(3,3)      PW(1,1)=-0.03999999999999999D0      PW(1,2)=10000.0D0*Y(3)      PW(1,3)=10000.0D0*Y(2)      PW(2,1)=0.03999999999999999D0      PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2))      PW(2,3)=-10000.0D0*Y(2)      PW(3,1)=0.0D0      PW(3,2)=60000000.0D0*Y(2)      PW(3,3)=0.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-72 -4337) 
+(-72 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim}      SUBROUTINE REPORT(X,V,JINT)      DOUBLE PRECISION V(3),X      INTEGER JINT      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) 
 NIL 
 NIL 
-(-73 -4337) 
+(-73 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim}      SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N)      INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK)      DOUBLE PRECISION W1(3),W2(3),MS(3,3)      IFLAG=-1      MS(1,1)=2.0D0      MS(1,2)=1.0D0      MS(1,3)=0.0D0      MS(2,1)=1.0D0      MS(2,2)=2.0D0      MS(2,3)=1.0D0      MS(3,1)=0.0D0      MS(3,2)=1.0D0      MS(3,3)=2.0D0      CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG)      IFLAG=-IFLAG      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-74 -4337) 
+(-74 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim}      SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG)      DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N)      INTEGER LDFJAC,N,IFLAG      IF(IFLAG.EQ.1)THEN        FVEC(1)=(-1.0D0*X(2))+X(1)        FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2)        FVEC(3)=3.0D0*X(3)      ELSEIF(IFLAG.EQ.2)THEN        FJAC(1,1)=1.0D0        FJAC(1,2)=-1.0D0        FJAC(1,3)=0.0D0        FJAC(2,1)=0.0D0        FJAC(2,2)=2.0D0        FJAC(2,3)=-1.0D0        FJAC(3,1)=0.0D0        FJAC(3,2)=0.0D0        FJAC(3,3)=3.0D0      ENDIF      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
@@ -236,55 +236,55 @@ NIL
 ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim}      SUBROUTINE G(EPS,YA,YB,BC,N)      DOUBLE PRECISION EPS,YA(N),YB(N),BC(N)      INTEGER N      BC(1)=YA(1)      BC(2)=YA(2)      BC(3)=YB(2)-1.0D0      RETURN      END      SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N)      DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N)      INTEGER N      AJ(1,1)=1.0D0      AJ(1,2)=0.0D0      AJ(1,3)=0.0D0      AJ(2,1)=0.0D0      AJ(2,2)=1.0D0      AJ(2,3)=0.0D0      AJ(3,1)=0.0D0      AJ(3,2)=0.0D0      AJ(3,3)=0.0D0      BJ(1,1)=0.0D0      BJ(1,2)=0.0D0      BJ(1,3)=0.0D0      BJ(2,1)=0.0D0      BJ(2,2)=0.0D0      BJ(2,3)=0.0D0      BJ(3,1)=0.0D0      BJ(3,2)=1.0D0      BJ(3,3)=0.0D0      RETURN      END      SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N)      DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N)      INTEGER N      BCEP(1)=0.0D0      BCEP(2)=0.0D0      BCEP(3)=0.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-77 -4337) 
+(-77 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)      DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*)      INTEGER N,IUSER(*),MODE,NSTATE      OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7)     &+(-1.0D0*X(2)*X(6))      OBJGRD(1)=X(7)      OBJGRD(2)=-1.0D0*X(6)      OBJGRD(3)=X(8)+(-1.0D0*X(7))      OBJGRD(4)=X(9)      OBJGRD(5)=-1.0D0*X(8)      OBJGRD(6)=-1.0D0*X(2)      OBJGRD(7)=(-1.0D0*X(3))+X(1)      OBJGRD(8)=(-1.0D0*X(5))+X(3)      OBJGRD(9)=X(4)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-78 -4337) 
+(-78 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim}      DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X)      DOUBLE PRECISION X(NDIM)      INTEGER NDIM      FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0*     &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-79 -4337) 
+(-79 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE LSFUN1(M,N,XC,FVECC)      DOUBLE PRECISION FVECC(M),XC(N)      INTEGER I,M,N      FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/(     &XC(3)+15.0D0*XC(2))      FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X     &C(3)+7.0D0*XC(2))      FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666     &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2))      FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X     &C(3)+3.0D0*XC(2))      FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC     &(2)+1.0D0)/(XC(3)+2.2D0*XC(2))      FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X     &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2))      FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142     &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2))      FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999     &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2))      FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999     &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2))      FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666     &67D0)/(XC(3)+XC(2))      FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999     &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2))      FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3)     &+XC(2))      FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333     &3333D0)/(XC(3)+XC(2))      FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X     &C(2))      FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3     &)+XC(2))      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-80 -4337) 
+(-80 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER     &,USER)      DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*)      INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE      IF(NEEDC(1).GT.0)THEN        C(1)=X(6)**2+X(1)**2        CJAC(1,1)=2.0D0*X(1)        CJAC(1,2)=0.0D0        CJAC(1,3)=0.0D0        CJAC(1,4)=0.0D0        CJAC(1,5)=0.0D0        CJAC(1,6)=2.0D0*X(6)      ENDIF      IF(NEEDC(2).GT.0)THEN        C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2        CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1)        CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1))        CJAC(2,3)=0.0D0        CJAC(2,4)=0.0D0        CJAC(2,5)=0.0D0        CJAC(2,6)=0.0D0      ENDIF      IF(NEEDC(3).GT.0)THEN        C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2        CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1)        CJAC(3,2)=2.0D0*X(2)        CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1))        CJAC(3,4)=0.0D0        CJAC(3,5)=0.0D0        CJAC(3,6)=0.0D0      ENDIF      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-81 -4337) 
+(-81 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim}      SUBROUTINE FCN(N,X,FVEC,IFLAG)      DOUBLE PRECISION X(N),FVEC(N)      INTEGER N,IFLAG      FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0      FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1.     &0D0      FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1.     &0D0      FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1.     &0D0      FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1.     &0D0      FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1.     &0D0      FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1.     &0D0      FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1.     &0D0      FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-82 -4337) 
+(-82 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim}      SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI)      DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI      ALPHA=DSIN(X)      BETA=Y      GAMMA=X*Y      DELTA=DCOS(X)*DSIN(Y)      EPSOLN=Y+X      PHI=X      PSI=Y      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-83 -4337) 
+(-83 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim}      SUBROUTINE BNDY(X,Y,A,B,C,IBND)      DOUBLE PRECISION A,B,C,X,Y      INTEGER IBND      IF(IBND.EQ.0)THEN        A=0.0D0        B=1.0D0        C=-1.0D0*DSIN(X)      ELSEIF(IBND.EQ.1)THEN        A=1.0D0        B=0.0D0        C=DSIN(X)*DSIN(Y)      ELSEIF(IBND.EQ.2)THEN        A=1.0D0        B=0.0D0        C=DSIN(X)*DSIN(Y)      ELSEIF(IBND.EQ.3)THEN        A=0.0D0        B=1.0D0        C=-1.0D0*DSIN(Y)      ENDIF      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-84 -4337) 
+(-84 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE FCNF(X,F)      DOUBLE PRECISION X      DOUBLE PRECISION F(2,2)      F(1,1)=0.0D0      F(1,2)=1.0D0      F(2,1)=0.0D0      F(2,2)=-10.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-85 -4337) 
+(-85 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE FCNG(X,G)      DOUBLE PRECISION G(*),X      G(1)=0.0D0      G(2)=0.0D0      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-86 -4337) 
+(-86 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim}      SUBROUTINE FCN(X,Z,F)      DOUBLE PRECISION F(*),X,Z(*)      F(1)=DTAN(Z(3))      F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2)     &**2))/(Z(2)*DCOS(Z(3)))      F(3)=-0.03199999999999999D0/(X*Z(2)**2)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-87 -4337) 
+(-87 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR)      DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3)      YL(1)=XL      YL(2)=2.0D0      YR(1)=1.0D0      YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM))      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-88 -4337) 
+(-88 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim}      SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD)      DOUBLE PRECISION Y(N),RESULT(M,N),XSOL      INTEGER M,N,COUNT      LOGICAL FORWRD      DOUBLE PRECISION X02ALF,POINTS(8)      EXTERNAL X02ALF      INTEGER I      POINTS(1)=1.0D0      POINTS(2)=2.0D0      POINTS(3)=3.0D0      POINTS(4)=4.0D0      POINTS(5)=5.0D0      POINTS(6)=6.0D0      POINTS(7)=7.0D0      POINTS(8)=8.0D0      COUNT=COUNT+1      DO 25001 I=1,N        RESULT(COUNT,I)=Y(I)25001 CONTINUE      IF(COUNT.EQ.M)THEN        IF(FORWRD)THEN          XSOL=X02ALF()        ELSE          XSOL=-X02ALF()        ENDIF      ELSE        XSOL=POINTS(COUNT)      ENDIF      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-89 -4337) 
+(-89 -2540) 
 ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim}      DOUBLE PRECISION FUNCTION G(X,Y)      DOUBLE PRECISION X,Y(*)      G=X+Y(1)      RETURN      END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
@@ -295,7 +295,7 @@ NIL
 (-91 S) 
 ((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,{}y,{}...,{}z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-92 S) 
 ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) 
 NIL 
@@ -343,7 +343,7 @@ NIL
 (-103 S) 
 ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,{}p,{}f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values \\spad{pl} and \\spad{pr}. Then \\spad{mapDown!(l,{}pl,{}f)} and \\spad{mapDown!(l,{}pr,{}f)} are evaluated.") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\spad{mapDown!(t,{}p,{}f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. The root value \\spad{x} is replaced by \\spad{q} \\spad{:=} \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees \\spad{l} and \\spad{r} of \\spad{t}.")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\spad{mapUp!(t,{}t1,{}f)} traverses \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the corresponding nodes of a balanced binary tree \\spad{t1},{} of identical shape at \\spad{t}.") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\spad{mapUp!(t,{}f)} traverses balanced binary tree \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes.")) (|setleaves!| (($ $ (|List| |#1|)) "\\spad{setleaves!(t,{} ls)} sets the leaves of \\spad{t} in left-to-right order to the elements of \\spad{ls}.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n,{} s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-104 R UP M |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,{}q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,{}q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,{}q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) 
 NIL 
@@ -363,7 +363,7 @@ NIL
 (-108) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-4012 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
+((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-2713 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
 (-109) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Symbol|) (|List| (|Property|))) "\\spad{binding(n,{}props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Symbol|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) 
 NIL 
@@ -385,10 +385,10 @@ NIL
 NIL 
 ((|HasCategory| |#1| (QUOTE (-847)))) 
 (-114) 
-((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad}op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|arity| (((|Union| (|NonNegativeInteger|) "failed") $) "\\spad{arity(op)} returns \\spad{n} if \\spad{op} is \\spad{n}-ary,{} and \"failed\" if \\spad{op} has arbitrary arity.")) (|operator| (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}.")) (|name| (((|Symbol|) $) "\\spad{name(op)} returns the name of \\spad{op}."))) 
+((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad}op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) 
 NIL 
 NIL 
-(-115 -3438 UP) 
+(-115 -2210 UP) 
 ((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots."))) 
 NIL 
 NIL 
@@ -399,7 +399,7 @@ NIL
 (-117 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-116 |#1|) (QUOTE (-906))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-116 |#1|) (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-147))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-116 |#1|) (QUOTE (-1019))) (|HasCategory| (-116 |#1|) (QUOTE (-817))) (-4012 (|HasCategory| (-116 |#1|) (QUOTE (-817))) (|HasCategory| (-116 |#1|) (QUOTE (-847)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (QUOTE (-1145))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (QUOTE (-233))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -309) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -286) (LIST (QUOTE -116) (|devaluate| |#1|)) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (QUOTE (-307))) (|HasCategory| (-116 |#1|) (QUOTE (-545))) (|HasCategory| (-116 |#1|) (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-906)))) (|HasCategory| (-116 |#1|) (QUOTE (-145))))) 
+((|HasCategory| (-116 |#1|) (QUOTE (-906))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-116 |#1|) (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-147))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-116 |#1|) (QUOTE (-1019))) (|HasCategory| (-116 |#1|) (QUOTE (-817))) (-2713 (|HasCategory| (-116 |#1|) (QUOTE (-817))) (|HasCategory| (-116 |#1|) (QUOTE (-847)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (QUOTE (-1145))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-116 |#1|) (QUOTE (-233))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -309) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (LIST (QUOTE -286) (LIST (QUOTE -116) (|devaluate| |#1|)) (LIST (QUOTE -116) (|devaluate| |#1|)))) (|HasCategory| (-116 |#1|) (QUOTE (-307))) (|HasCategory| (-116 |#1|) (QUOTE (-545))) (|HasCategory| (-116 |#1|) (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-116 |#1|) (QUOTE (-906)))) (|HasCategory| (-116 |#1|) (QUOTE (-145))))) 
 (-118 A S) 
 ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,{}x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,{}b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,{}\"right\",{}b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,{}\"left\",{}b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,{}\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,{}\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) 
 NIL 
@@ -415,7 +415,7 @@ NIL
 (-121 S) 
 ((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\spad{split(x,{}b)} splits binary tree \\spad{b} into two trees,{} one with elements greater than \\spad{x},{} the other with elements less than \\spad{x}.")) (|insertRoot!| (($ |#1| $) "\\spad{insertRoot!(x,{}b)} inserts element \\spad{x} as a root of binary search tree \\spad{b}.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,{}b)} inserts element \\spad{x} as leaves into binary search tree \\spad{b}.")) (|binarySearchTree| (($ (|List| |#1|)) "\\spad{binarySearchTree(l)} \\undocumented"))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-122 S) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical {\\em or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical {\\em and} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|not| (($ $) "\\spad{not(b)} returns the logical {\\em not} of bit aggregate \\axiom{\\spad{b}}."))) 
 NIL 
@@ -435,15 +435,15 @@ NIL
 (-126 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#1| $) "\\spad{insert!(x,{}b)} inserts element \\spad{x} as leaves into binary tournament \\spad{b}.")) (|binaryTournament| (($ (|List| |#1|)) "\\spad{binaryTournament(ls)} creates a binary tournament with the elements of \\spad{ls} as values at the nodes."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-127 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\spad{binaryTree(l,{}v,{}r)} creates a binary tree with value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.") (($ |#1|) "\\spad{binaryTree(v)} is an non-empty binary tree with value \\spad{v},{} and left and right empty."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-128) 
 ((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`n'}. The array can then store up to \\spad{`n'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|finiteAggregate| ((|attribute|) "A ByteBuffer object is a finite aggregate")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,{}n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129))))) (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129)))))) (-4012 (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129))))) (|HasCategory| (-129) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-129) (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-129) (QUOTE (-1094)))) (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129)))))) 
+((-2713 (-12 (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129))))) (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129)))))) (-2713 (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129))))) (|HasCategory| (-129) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-129) (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-129) (QUOTE (-1094)))) (|HasCategory| (-129) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-129) (QUOTE (-1094))) (|HasCategory| (-129) (LIST (QUOTE -309) (QUOTE (-129)))))) 
 (-129) 
 ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of \\spad{`x'} and \\spad{`y'}.")) (|bitand| (($ $ $) "\\spad{bitand(x,{}y)} returns the bitwise `and' of \\spad{`x'} and \\spad{`y'}.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value \\spad{`v'} into the Byte algebra. \\spad{`v'} must be non-negative and less than 256."))) 
 NIL 
@@ -468,11 +468,11 @@ NIL
 ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0,{} 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,{}1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,{}D) -> D} which is commutative."))) 
 (((-4414 "*") . T)) 
 NIL 
-(-135 |minix| -2880 S T$) 
+(-135 |minix| -3926 S T$) 
 ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,{}ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,{}ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) 
 NIL 
 NIL 
-(-136 |minix| -2880 R) 
+(-136 |minix| -3926 R) 
 ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,{}...idim) = +1/0/-1} if \\spad{i1,{}...,{}idim} is an even/is nota /is an odd permutation of \\spad{minix,{}...,{}minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,{}j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,{}[i1,{}...,{}idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t,{} [4,{}1,{}2,{}3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,{}j,{}k,{}l) = t(l,{}i,{}j,{}k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,{}i,{}j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,{}2,{}3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,{}j,{}k,{}l) = t(i,{}k,{}j,{}l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,{}j,{}k,{}l) = t(l,{}j,{}k,{}i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,{}i,{}j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,{}1,{}3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,{}j) = sum(h=1..dim,{}t(h,{}i,{}h,{}j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,{}i,{}s,{}j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,{}2,{}t,{}1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,{}j,{}k,{}l) = sum(h=1..dim,{}s(i,{}h,{}j)*t(h,{}k,{}l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,{}rank t,{} s,{} 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N,{} t[i1,{}..,{}iN,{}k]*s[k,{}j1,{}..,{}jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,{}t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,{}t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,{}j,{}k,{}l) = s(i,{}j)*t(k,{}l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,{}[i1,{}...,{}iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,{}i,{}j,{}k,{}l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,{}i,{}j,{}k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,{}i,{}j)} gives a component of a rank 2 tensor.") ((|#3| $ (|Integer|)) "\\spad{elt(t,{}i)} gives a component of a rank 1 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,{}...,{}t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,{}...,{}r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) 
 NIL 
 NIL 
@@ -495,7 +495,7 @@ NIL
 (-141) 
 ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) 
 ((-4412 . T) (-4402 . T) (-4413 . T)) 
-((-4012 (-12 (|HasCategory| (-144) (QUOTE (-368))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-144) (QUOTE (-368))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
+((-2713 (-12 (|HasCategory| (-144) (QUOTE (-368))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-144) (QUOTE (-368))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
 (-142 R Q A) 
 ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
@@ -520,7 +520,7 @@ NIL
 ((|constructor| (NIL "Rings of Characteristic Zero."))) 
 ((-4409 . T)) 
 NIL 
-(-148 -3438 UP UPUP) 
+(-148 -2210 UP UPUP) 
 ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,{}y),{} p(x,{}y))} returns \\spad{[g(z,{}t),{} q(z,{}t),{} c1(z),{} c2(z),{} n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,{}y) = g(z,{}t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x,{} y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z,{} t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,{}y),{} f(x),{} g(x))} returns \\spad{p(f(x),{} y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p,{} q)} returns an integer a such that a is neither a pole of \\spad{p(x,{}y)} nor a branch point of \\spad{q(x,{}y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g,{} n)} returns \\spad{[m,{} c,{} P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x,{} y))} returns \\spad{[c(x),{} n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,{}y))} returns \\spad{[c(x),{} q(x,{}z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x,{} y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x,{} z) = 0}."))) 
 NIL 
 NIL 
@@ -560,7 +560,7 @@ NIL
 ((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}."))) 
 NIL 
 NIL 
-(-158 R -3438) 
+(-158 R -2210) 
 ((|constructor| (NIL "Provides combinatorial functions over an integral domain.")) (|ipow| ((|#2| (|List| |#2|)) "\\spad{ipow(l)} should be local but conditional.")) (|iidprod| ((|#2| (|List| |#2|)) "\\spad{iidprod(l)} should be local but conditional.")) (|iidsum| ((|#2| (|List| |#2|)) "\\spad{iidsum(l)} should be local but conditional.")) (|iipow| ((|#2| (|List| |#2|)) "\\spad{iipow(l)} should be local but conditional.")) (|iiperm| ((|#2| (|List| |#2|)) "\\spad{iiperm(l)} should be local but conditional.")) (|iibinom| ((|#2| (|List| |#2|)) "\\spad{iibinom(l)} should be local but conditional.")) (|iifact| ((|#2| |#2|) "\\spad{iifact(x)} should be local but conditional.")) (|product| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{product(f(n),{} n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") ((|#2| |#2| (|Symbol|)) "\\spad{product(f(n),{} n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{summation(f(n),{} n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") ((|#2| |#2| (|Symbol|)) "\\spad{summation(f(n),{} n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| ((|#2| |#2| (|Symbol|)) "\\spad{factorials(f,{} x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") ((|#2| |#2|) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials.")) (|factorial| ((|#2| |#2|) "\\spad{factorial(n)} returns the factorial of \\spad{n},{} \\spadignore{i.e.} \\spad{n!}.")) (|permutation| ((|#2| |#2| |#2|) "\\spad{permutation(n,{} r)} returns the number of permutations of \\spad{n} objects taken \\spad{r} at a time,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{n}-\\spad{r})!.")) (|binomial| ((|#2| |#2| |#2|) "\\spad{binomial(n,{} r)} returns the number of subsets of \\spad{r} objects taken among \\spad{n} objects,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{r!} * (\\spad{n}-\\spad{r})!).")) (** ((|#2| |#2| |#2|) "\\spad{a ** b} is the formal exponential a**b.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a combinatorial operator.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a combinatorial operator."))) 
 NIL 
 NIL 
@@ -594,7 +594,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-906))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-999))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasCategory| |#2| (QUOTE (-1055))) (|HasCategory| |#2| (QUOTE (-1019))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4408)) (|HasAttribute| |#2| (QUOTE -4411)) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-847)))) 
 (-166 R) 
 ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x,{} r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,{}y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) 
-((-4405 -4012 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-906)))) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4408 |has| |#1| (-6 -4408)) (-4411 |has| |#1| (-6 -4411)) (-2453 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4405 -2713 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-906)))) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4408 |has| |#1| (-6 -4408)) (-4411 |has| |#1| (-6 -4411)) (-4134 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-167 RR PR) 
 ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) 
@@ -606,8 +606,8 @@ NIL
 NIL 
 (-169 R) 
 ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) 
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(QUOTE (-536))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-906))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-906))))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-556)))) (-4012 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-825))) (|HasCategory| |#1| (QUOTE (-1055))) (-12 (|HasCategory| |#1| (QUOTE (-1055))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-363)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasAttribute| |#1| (QUOTE -4408)) (|HasAttribute| |#1| (QUOTE -4411)) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-349))))) 
+((-4405 -2713 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-906)))) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4408 |has| |#1| (-6 -4408)) (-4411 |has| |#1| (-6 -4411)) (-4134 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-825)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-847)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-1019)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-1194)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -612) 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(|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-906))))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-556)))) (-2713 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-825))) (|HasCategory| |#1| (QUOTE (-1055))) (-12 (|HasCategory| |#1| (QUOTE (-1055))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasAttribute| |#1| (QUOTE -4408)) (|HasAttribute| |#1| (QUOTE -4411)) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-349))))) 
 (-170 R S CS) 
 ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) 
 NIL 
@@ -680,7 +680,7 @@ NIL
 ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) 
 NIL 
 NIL 
-(-188 R -3438) 
+(-188 R -2210) 
 ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f,{} imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f,{} x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f,{} x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
@@ -788,23 +788,23 @@ NIL
 ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\spad{db1+db2} returns the merge of databases \\spad{db1} and \\spad{db2}")) (|fullDisplay| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{fullDisplay(db,{}start,{}end )} prints full details of entries in the range \\axiom{\\spad{start}..end} in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(db)} prints full details of each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(x)} displays \\spad{x} in detail")) (|display| (((|Void|) $) "\\spad{display(db)} prints a summary line for each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{display(x)} displays \\spad{x} in some form")) (|elt| (((|DataList| (|String|)) $ (|Symbol|)) "\\spad{elt(db,{}s)} returns the \\axiom{\\spad{s}} field of each element of \\axiom{\\spad{db}}.") (($ $ (|QueryEquation|)) "\\spad{elt(db,{}q)} returns all elements of \\axiom{\\spad{db}} which satisfy \\axiom{\\spad{q}}.") (((|String|) $ (|Symbol|)) "\\spad{elt(x,{}s)} returns an element of \\spad{x} indexed by \\spad{s}"))) 
 NIL 
 NIL 
-(-215 -3438 UP UPUP R) 
+(-215 -2210 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f,{} ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use."))) 
 NIL 
 NIL 
-(-216 -3438 FP) 
+(-216 -2210 FP) 
 ((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,{}k,{}v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,{}k,{}v)} produces the sum of \\spad{u**(2**i)} for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,{}k,{}v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by \\spadfunFrom{separateDegrees}{DistinctDegreeFactorization} and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,{}sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}."))) 
 NIL 
 NIL 
 (-217) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-4012 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
+((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-2713 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
 (-218) 
 ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`d'}.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) 
 NIL 
 NIL 
-(-219 R -3438) 
+(-219 R -2210) 
 ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f,{} x,{} a,{} b,{} ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f,{} x = a..b,{} \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) 
 NIL 
 NIL 
@@ -819,18 +819,18 @@ NIL
 (-222 S) 
 ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,{}y,{}...,{}z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-223 |CoefRing| |listIndVar|) 
 ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,{}df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,{}u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) 
 ((-4409 . T)) 
 NIL 
-(-224 R -3438) 
+(-224 R -2210) 
 ((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p,{} a,{} b,{} incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p,{} x,{} a,{} b,{} incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x,{} g,{} a,{} b,{} eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval."))) 
 NIL 
 NIL 
 (-225) 
 ((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n,{} b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,{}y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,{}y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-2441 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4124 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-226) 
 ((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,{}z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{K(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,{}x) = \\%pi/2*(I(-v,{}x) - I(v,{}x))/sin(v*\\%\\spad{pi})}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,{}x)} is the modified Bessel function of the first kind,{} \\spad{I(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,{}x)} is the Bessel function of the second kind,{} \\spad{Y(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,{}x) = (J(v,{}x) cos(v*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{pi})}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,{}x)} is the Bessel function of the first kind,{} \\spad{J(v,{}x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n,{} x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x,{} y)} is the Euler beta function,{} \\spad{B(x,{}y)},{} defined by \\indented{2}{\\spad{Beta(x,{}y) = integrate(t^(x-1)*(1-t)^(y-1),{} t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,{}y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t),{} t=0..\\%infinity)}.}"))) 
@@ -839,7 +839,7 @@ NIL
 (-227 R) 
 ((|constructor| (NIL "\\indented{1}{A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:} \\indented{1}{\\spad{nx ox ax px}} \\indented{1}{\\spad{ny oy ay py}} \\indented{1}{\\spad{nz oz az pz}} \\indented{2}{\\spad{0\\space{2}0\\space{2}0\\space{2}1}} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(X,{}Y,{}Z)} returns a dhmatrix for translation by \\spad{X},{} \\spad{Y},{} and \\spad{Z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,{}sy,{}sz)} returns a dhmatrix for scaling in the \\spad{X},{} \\spad{Y} and \\spad{Z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{Z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{Y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{X} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-228 A S) 
 ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) 
 NIL 
@@ -876,22 +876,22 @@ NIL
 ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) 
 NIL 
 NIL 
-(-237 S -2880 R) 
+(-237 S -3926 R) 
 ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#3|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#3| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|dot| ((|#3| $ $) "\\spad{dot(x,{}y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
 NIL 
 ((|HasCategory| |#3| (QUOTE (-363))) (|HasCategory| |#3| (QUOTE (-790))) (|HasCategory| |#3| (QUOTE (-845))) (|HasAttribute| |#3| (QUOTE -4409)) (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (QUOTE (-723))) (|HasCategory| |#3| (QUOTE (-131))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1046))) (|HasCategory| |#3| (QUOTE (-1094)))) 
-(-238 -2880 R) 
+(-238 -3926 R) 
 ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#2|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#2| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|dot| ((|#2| $ $) "\\spad{dot(x,{}y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
 ((-4406 |has| |#2| (-1046)) (-4407 |has| |#2| (-1046)) (-4409 |has| |#2| (-6 -4409)) ((-4414 "*") |has| |#2| (-172)) (-4412 . T)) 
 NIL 
-(-239 -2880 A B) 
+(-239 -3926 A B) 
 ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f,{} v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,{}vec,{}ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,{}vec,{}ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) 
 NIL 
 NIL 
-(-240 -2880 R) 
+(-240 -3926 R) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) 
 ((-4406 |has| |#2| (-1046)) (-4407 |has| |#2| (-1046)) (-4409 |has| |#2| (-6 -4409)) ((-4414 "*") |has| |#2| (-172)) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-723))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-790))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-845))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))))) (-4012 (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-1094)))) (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-1046)))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (QUOTE (-363))) (-4012 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1046)))) (-4012 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-363)))) (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (QUOTE (-790))) (-4012 (|HasCategory| |#2| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-845)))) (|HasCategory| |#2| (QUOTE (-845))) (|HasCategory| |#2| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-172))) (-4012 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-1046)))) (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-845))) (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1046)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1046)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1046)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-1046)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-172)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-233)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-368)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-723)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-790)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-845)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-1046)))) (-12 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(LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-723))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-790))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-845))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| (-564) (QUOTE (-847))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (QUOTE (-1046)))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170))))) (-2713 (|HasCategory| |#2| (QUOTE (-1046))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasAttribute| |#2| (QUOTE -4409)) (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))))) 
 (-241) 
 ((|constructor| (NIL "DisplayPackage allows one to print strings in a nice manner,{} including highlighting substrings.")) (|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,{}i,{}s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,{}i,{}s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,{}s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type."))) 
 NIL 
@@ -911,7 +911,7 @@ NIL
 (-245 S) 
 ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) 
 ((-4413 . T) (-4412 . T)) 
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 (-246 M) 
 ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,{}a,{}p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank\\spad{'s} algorithm. Note: this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) 
 NIL 
@@ -919,7 +919,7 @@ NIL
 (-247 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
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 ((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain \\spad{`d'}.")) (|reflect| (($ (|ConstructorCall|)) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall|) $) "\\spad{reify(d)} returns the abstract syntax for the domain \\spad{`x'}.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) 
 NIL 
@@ -930,12 +930,12 @@ NIL
 NIL 
 (-250 |n| R M S) 
 ((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view."))) 
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(QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#3| (QUOTE (-233))) (|HasCategory| |#3| (QUOTE (-1046)))) (-2713 (-12 (|HasCategory| |#3| (QUOTE (-233))) (|HasCategory| |#3| (QUOTE (-1046)))) (|HasCategory| |#3| (QUOTE (-723))) (-12 (|HasCategory| |#3| (QUOTE (-1046))) (|HasCategory| |#3| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#3| (QUOTE (-1046))) (|HasCategory| |#3| (LIST (QUOTE -897) (QUOTE (-1170)))))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -1035) (QUOTE (-564))))) (-2713 (|HasCategory| |#3| (QUOTE (-1046))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -1035) (QUOTE (-564)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#3| (QUOTE (-1094)))) (-2713 (|HasAttribute| |#3| (QUOTE -4409)) (-12 (|HasCategory| |#3| (QUOTE (-233))) (|HasCategory| |#3| (QUOTE (-1046)))) (-12 (|HasCategory| |#3| (QUOTE (-1046))) (|HasCategory| |#3| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#3| (QUOTE (-1046))) (|HasCategory| |#3| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#3| (QUOTE (-131))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|))))) 
 (-252 A R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p,{} s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p,{} s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,{} s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,{}s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) 
 NIL 
@@ -987,7 +987,7 @@ NIL
 (-264 R S V) 
 ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-906))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#3| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#3| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
+((|HasCategory| |#1| (QUOTE (-906))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#3| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#3| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-265 A S) 
 ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(v,{} n)} returns the \\spad{n}-th derivative of \\spad{v}.") (($ $) "\\spad{differentiate(v)} returns the derivative of \\spad{v}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s,{} n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) 
 NIL 
@@ -1032,11 +1032,11 @@ NIL
 ((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1."))) 
 NIL 
 NIL 
-(-276 R -3438) 
+(-276 R -2210) 
 ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,{}l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{\\spad{pi}()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) 
 NIL 
 NIL 
-(-277 R -3438) 
+(-277 R -2210) 
 ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,{}a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f,{} k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,{}...,{}kn],{}f,{}x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,{}x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log,{} exp,{} tan,{} atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log,{} exp,{} tan,{} atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f,{} x)} returns \\spad{[g,{} [k1,{}...,{}kn],{} [h1,{}...,{}hn]]} such that \\spad{g = normalize(f,{} x)} and each \\spad{\\spad{ki}} was rewritten as \\spad{\\spad{hi}} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f,{} x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) 
 NIL 
 NIL 
@@ -1084,7 +1084,7 @@ NIL
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
 NIL 
-(-289 S R |Mod| -3126 -3678 |exactQuo|) 
+(-289 S R |Mod| -3895 -2057 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
@@ -1106,21 +1106,21 @@ NIL
 NIL 
 (-294 S) 
 ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,{}eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations e1 and e2.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn,{} [x1=v1,{} ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn,{} x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,{}b)} creates an equation.")) (= (($ |#1| |#1|) "\\spad{a=b} creates an equation."))) 
-((-4409 -4012 (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4406 |has| |#1| (-1046)) (-4407 |has| |#1| (-1046))) 
-((|HasCategory| |#1| (QUOTE (-363))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723)))) (|HasCategory| |#1| (QUOTE (-473))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-1094)))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1106)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-302))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-473)))) (-4012 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723)))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-172)))) 
+((-4409 -2713 (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4406 |has| |#1| (-1046)) (-4407 |has| |#1| (-1046))) 
+((|HasCategory| |#1| (QUOTE (-363))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723)))) (|HasCategory| |#1| (QUOTE (-473))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-1094)))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1106)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-302))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-473)))) (-2713 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723)))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-172)))) 
 (-295 |Key| |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|)))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-296) 
 ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",{}\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,{}lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,{}msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) 
 NIL 
 NIL 
-(-297 -3438 S) 
+(-297 -2210 S) 
 ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f,{} p,{} k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) 
 NIL 
 NIL 
-(-298 E -3438) 
+(-298 E -2210) 
 ((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f,{} k)} returns \\spad{g = op(f(a1),{}...,{}f(an))} where \\spad{k = op(a1,{}...,{}an)}."))) 
 NIL 
 NIL 
@@ -1168,7 +1168,7 @@ NIL
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f,{} [x1 = v1,{}...,{}xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,{}x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-310 -3438) 
+(-310 -2210) 
 ((|constructor| (NIL "This package is to be used in conjuction with \\indented{12}{the CycleIndicators package. It provides an evaluation} \\indented{12}{function for SymmetricPolynomials.}")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,{}s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}"))) 
 NIL 
 NIL 
@@ -1183,7 +1183,7 @@ NIL
 (-313 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,{}f(var))}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
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+((|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-906))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-145))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-1019))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-817))) (-2713 (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-817))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-847)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-1145))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-233))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -1245) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -309) (LIST (QUOTE -1245) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (LIST (QUOTE -286) (LIST (QUOTE -1245) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1245) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-307))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-545))) (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-847))) (-12 (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-906))) (|HasCategory| $ (QUOTE (-145)))) (-2713 (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-145))) (-12 (|HasCategory| (-1245 |#1| |#2| |#3| |#4|) (QUOTE (-906))) (|HasCategory| $ (QUOTE (-145)))))) 
 (-314 R S) 
 ((|constructor| (NIL "Lifting of maps to Expressions. Date Created: 16 Jan 1989 Date Last Updated: 22 Jan 1990")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f,{} e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) 
 NIL 
@@ -1194,9 +1194,9 @@ NIL
 NIL 
 (-316 R) 
 ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) 
-((-4409 -4012 (-4264 (|has| |#1| (-1046)) (|has| |#1| (-637 (-564)))) (-12 (|has| |#1| (-556)) (-4012 (-4264 (|has| |#1| (-1046)) (|has| |#1| (-637 (-564)))) (|has| |#1| (-1046)) (|has| |#1| (-473)))) (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4407 |has| |#1| (-172)) (-4406 |has| |#1| (-172)) ((-4414 "*") |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-556)) (-4404 |has| |#1| (-556))) 
-((-4012 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1106)))) (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556)))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-4012 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-4012 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-4012 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-4012 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1046)))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| $ (QUOTE (-1046))) (|HasCategory| $ (LIST (QUOTE -1035) (QUOTE (-564))))) 
-(-317 R -3438) 
+((-4409 -2713 (-2832 (|has| |#1| (-1046)) (|has| |#1| (-637 (-564)))) (-12 (|has| |#1| (-556)) (-2713 (-2832 (|has| |#1| (-1046)) (|has| |#1| (-637 (-564)))) (|has| |#1| (-1046)) (|has| |#1| (-473)))) (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4407 |has| |#1| (-172)) (-4406 |has| |#1| (-172)) ((-4414 "*") |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-556)) (-4404 |has| |#1| (-556))) 
+((-2713 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1106)))) (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1046)))) (-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556)))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-2713 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-2713 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-2713 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-2713 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1046)))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| $ (QUOTE (-1046))) (|HasCategory| $ (LIST (QUOTE -1035) (QUOTE (-564))))) 
+(-317 R -2210) 
 ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} [b0,{}...,{}bn])} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} [b0,{}...,{}b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} y a = b)} is equivalent to \\spad{seriesSolve(eq=0,{} y,{} x=a,{} y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{} y,{} x = a,{} b)} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{}y,{} x=a,{} b)} is equivalent to \\spad{seriesSolve(eq,{} y,{} x=a,{} y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{}[y1 a = b1,{}...,{} yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{}[y1,{}...,{}yn],{}x = a,{}[y1 a = b1,{}...,{}yn a = bn])} returns a taylor series solution of \\spad{[eq1,{}...,{}eqn]} around \\spad{x = a} with initial conditions \\spad{\\spad{yi}(a) = \\spad{bi}}. Note: eqi must be of the form \\spad{\\spad{fi}(x,{} y1 x,{} y2 x,{}...,{} yn x) y1'(x) + \\spad{gi}(x,{} y1 x,{} y2 x,{}...,{} yn x) = h(x,{} y1 x,{} y2 x,{}...,{} yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{}[b0,{}...,{}b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x,{} y x,{} y'(x),{}...,{} y(n-1)(x)) y(n)(x) + g(x,{}y x,{}y'(x),{}...,{}y(n-1)(x)) = h(x,{}y x,{} y'(x),{}...,{} y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{} y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x,{} y x) y'(x) + g(x,{} y x) = h(x,{} y x)}."))) 
 NIL 
 NIL 
@@ -1207,7 +1207,7 @@ NIL
 (-319 FE |var| |cen|) 
 ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) 
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 (-320 M) 
 ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) 
 NIL 
@@ -1239,12 +1239,12 @@ NIL
 (-327 S) 
 ((|constructor| (NIL "\\indented{1}{A FlexibleArray is the notion of an array intended to allow for growth} at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,{}a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,{}n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) 
 ((-4413 . T) (-4412 . T)) 
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-(-328 S -3438) 
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+(-328 S -2210) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,{}d} from {\\em F} and {\\em f,{}g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,{}a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,{}f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,{}d} form {\\em F} and {\\em f,{}g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,{}d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,{}d) = reduce(+,{}[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,{}d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,{}n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-368)))) 
-(-329 -3438) 
+(-329 -2210) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,{}d} from {\\em F} and {\\em f,{}g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") $ $) "\\spad{linearAssociatedLog(b,{}a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\spad{linearAssociatedExp(a,{}f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,{}d} form {\\em F} and {\\em f,{}g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i),{} 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,{}d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,{}d) = reduce(+,{}[a**(q**(d*i)) for i in 0..n/d])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,{}d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#1|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,{}n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
@@ -1264,15 +1264,15 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Lift a map to finite divisors.} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 19 May 1993")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,{}d)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-334 S -3438 UP UPUP R) 
+(-334 S -2210 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id,{} f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h,{} d,{} d',{} g,{} r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,{}discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a,{} b,{} n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a,{} y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a,{} b)} makes the divisor \\spad{P:} \\spad{(x = a,{} y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-335 -3438 UP UPUP R) 
+(-335 -2210 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id,{} f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h,{} d,{} d',{} g,{} r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,{}discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a,{} b,{} n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a,{} y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a,{} b)} makes the divisor \\spad{P:} \\spad{(x = a,{} y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-336 -3438 UP UPUP R) 
+(-336 -2210 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over {\\em K[x]}."))) 
 NIL 
 NIL 
@@ -1292,26 +1292,26 @@ NIL
 ((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f,{} p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}."))) 
 NIL 
 NIL 
-(-341 S -3438 UP UPUP) 
+(-341 S -2210 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f,{} D)} returns \\spad{[h,{}d,{}d',{}g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d,{} discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,{}a,{}b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a,{} y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x,{} d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(\\spad{wi})} with respect to \\spad{(w1,{}...,{}wn)} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,{}...,{}An],{} D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,{}...,{}vn) = (1,{} y,{} ...,{} y**(n-1))} where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,{}...,{}vn) = M (1,{} y,{} ...,{} y**(n-1))} where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,{}...,{}wn) = (1,{} y,{} ...,{} y**(n-1))} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,{}...,{}wn) = M (1,{} y,{} ...,{} y**(n-1))},{} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,{}...,{}bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,{}...,{}bn)} returns the complementary basis \\spad{(b1',{}...,{}bn')} of \\spad{(b1,{}...,{}bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f,{} p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f,{} a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a,{} b)} tests if \\spad{(x=a,{}y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-363)))) 
-(-342 -3438 UP UPUP) 
+(-342 -2210 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f,{} D)} returns \\spad{[h,{}d,{}d',{}g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d,{} discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,{}a,{}b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a,{} y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x,{} d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(\\spad{wi})} with respect to \\spad{(w1,{}...,{}wn)} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,{}...,{}An],{} D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,{}...,{}wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,{}...,{}A(n-1)],{}D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,{}...,{}An],{} D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,{}...,{}vn) = (1,{} y,{} ...,{} y**(n-1))} where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,{}...,{}vn) = M (1,{} y,{} ...,{} y**(n-1))} where \\spad{(v1,{}...,{}vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,{}...,{}wn) = (1,{} y,{} ...,{} y**(n-1))} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,{}...,{}wn) = M (1,{} y,{} ...,{} y**(n-1))},{} where \\spad{(w1,{}...,{}wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,{}...,{}bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,{}...,{}bn)} returns the complementary basis \\spad{(b1',{}...,{}bn')} of \\spad{(b1,{}...,{}bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f,{} p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\spad{integral?(f,{} a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\spad{rationalPoint?(a,{} b)} tests if \\spad{(x=a,{}y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) 
 ((-4405 |has| (-407 |#2|) (-363)) (-4410 |has| (-407 |#2|) (-363)) (-4404 |has| (-407 |#2|) (-363)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-343 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
+((-2713 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
 (-344 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{GF},{}defpol) implements a finite extension field of the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial {\\em defpol},{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
 (-345 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{GF},{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
 (-346 GF) 
 ((|constructor| (NIL "FiniteFieldFunctions(\\spad{GF}) is a package with functions concerning finite extension fields of the finite ground field {\\em GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree {\\em n} over {\\em GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table {\\em m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table {\\em m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by {\\em f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial {\\em f(x)},{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by {\\em x**Z(i) = 1+x**i} is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) 
 NIL 
@@ -1328,31 +1328,31 @@ NIL
 ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,{}n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of {\\em a}. Note: such a root is alway defined in finite fields."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
-(-350 R UP -3438) 
+(-350 R UP -2210) 
 ((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
 (-351 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by \\spadfunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}.")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
+((-2713 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
 (-352 GF |uni|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}uni) implements a finite extension of the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of {\\em GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over {\\em GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
 (-353 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by {\\em createNormalPoly} from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
 (-354 |p| |n|) 
 ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
+((-2713 (|HasCategory| (-907 |#1|) (QUOTE (-145))) (|HasCategory| (-907 |#1|) (QUOTE (-368)))) (|HasCategory| (-907 |#1|) (QUOTE (-147))) (|HasCategory| (-907 |#1|) (QUOTE (-368))) (|HasCategory| (-907 |#1|) (QUOTE (-145)))) 
 (-355 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} defpol) implements the extension of the finite field {\\em GF} generated by the extension polynomial {\\em defpol} which MUST be irreducible. Note: the user has the responsibility to ensure that {\\em defpol} is irreducible."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
-(-356 -3438 GF) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+(-356 -2210 GF) 
 ((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) 
 NIL 
 NIL 
@@ -1360,14 +1360,14 @@ NIL
 ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,{}x**q,{}x**(q**2),{}...,{}x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field {\\em GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of {\\em GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,{}n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{d} over the finite field {\\em GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or if {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. polynomial of degree \\spad{n} over the field {\\em GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. Note: this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) 
 NIL 
 NIL 
-(-358 -3438 FP FPP) 
+(-358 -2210 FP FPP) 
 ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
 (-359 GF |n|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} \\spad{n}) implements an extension of the finite field {\\em GF} of degree \\spad{n} generated by the extension polynomial constructed by \\spadfunFrom{createIrreduciblePoly}{FiniteFieldPolynomialPackage} from \\spadtype{FiniteFieldPolynomialPackage}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) 
 (-360 R |ls|) 
 ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the {\\em FGLM} algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{\\spad{ls}}."))) 
 NIL 
@@ -1446,7 +1446,7 @@ NIL
 NIL 
 (-379) 
 ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,{}exponent,{}\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,{}e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{\\spad{pi}},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,{}y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n,{} b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f,{} n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,{}n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,{}y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-4395 . T) (-4403 . T) (-2441 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4395 . T) (-4403 . T) (-4124 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-380 |Par|) 
 ((|constructor| (NIL "\\indented{3}{This is a package for the approximation of real solutions for} systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf,{} eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,{}lv,{}eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,{}eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,{}eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,{}eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,{}eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}."))) 
@@ -1496,7 +1496,7 @@ NIL
 ((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack"))) 
 NIL 
 NIL 
-(-392 -3438 UP UPUP R) 
+(-392 -2210 UP UPUP R) 
 ((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) 
 NIL 
 NIL 
@@ -1520,11 +1520,11 @@ NIL
 ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}t,{}lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,{}l,{}ll,{}lv,{}t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}ll,{}lv)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-398 -4337 |returnType| -2841 |symbols|) 
+(-398 -2540 |returnType| -2037 |symbols|) 
 ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-399 -3438 UP) 
+(-399 -2210 UP) 
 ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: 6 October 1993 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{D(f)} returns the derivative of \\spad{f}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{differentiate(f)} returns the derivative of \\spad{f}.")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p,{} [[j,{} Dj,{} Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,{}Dj,{}Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) 
 NIL 
 NIL 
@@ -1546,7 +1546,7 @@ NIL
 ((|HasAttribute| |#1| (QUOTE -4395)) (|HasAttribute| |#1| (QUOTE -4403))) 
 (-404) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,{}e,{}b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,{}e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) 
-((-2441 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4124 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-405 R S) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,{}u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) 
@@ -1559,7 +1559,7 @@ NIL
 (-407 S) 
 ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) 
 ((-4399 -12 (|has| |#1| (-6 -4410)) (|has| |#1| (-452)) (|has| |#1| (-6 -4399))) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-906))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (QUOTE (-817))) (-4012 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#1| (QUOTE (-847)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825))))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-545))) (-12 (|HasAttribute| |#1| (QUOTE -4410)) (|HasAttribute| |#1| (QUOTE -4399)) (|HasCategory| |#1| (QUOTE (-452)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
+((|HasCategory| |#1| (QUOTE (-906))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (QUOTE (-817))) (-2713 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#1| (QUOTE (-847)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825))))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-825)))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-545))) (-12 (|HasAttribute| |#1| (QUOTE -4410)) (|HasAttribute| |#1| (QUOTE -4399)) (|HasCategory| |#1| (QUOTE (-452)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-408 S R UP) 
 ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(\\spad{vi} * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,{}..,{}an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,{}...,{}vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
 NIL 
@@ -1580,11 +1580,11 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,{}i)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-413 R -3438 UP A) 
+(-413 R -2210 UP A) 
 ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,{}x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,{}...,{}fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,{}...,{}fn))} = the vector \\spad{[f1,{}...,{}fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,{}...,{}fn))} returns the vector \\spad{[f1,{}...,{}fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,{}...,{}fn])} returns the ideal \\spad{(f1,{}...,{}fn)}."))) 
 ((-4409 . T)) 
 NIL 
-(-414 R -3438 UP A |ibasis|) 
+(-414 R -2210 UP A |ibasis|) 
 ((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,{}...,{}fn])} = the module generated by \\spad{(f1,{}...,{}fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,{}...,{}fn))} = the vector \\spad{[f1,{}...,{}fn]}."))) 
 NIL 
 ((|HasCategory| |#4| (LIST (QUOTE -1035) (|devaluate| |#2|)))) 
@@ -1603,7 +1603,7 @@ NIL
 (-418 R) 
 ((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,{}u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,{}exponent,{}flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,{}exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,{}exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\spad{nthFlag(u,{}n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,{}n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,{}n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,{}exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,{}exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,{}listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) 
 ((-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -309) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -286) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-1213))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-1213)))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-452)))) 
+((|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -309) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -286) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-1213))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-1213)))) (|HasCategory| |#1| (QUOTE (-1019))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-452)))) 
 (-419 R) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,{}v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,{}fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,{}2)} then \\spad{refine(u,{}factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,{}2) * primeFactor(5,{}2)}."))) 
 NIL 
@@ -1632,7 +1632,7 @@ NIL
 ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) 
 ((-4412 . T) (-4402 . T) (-4413 . T)) 
 NIL 
-(-426 R -3438) 
+(-426 R -2210) 
 ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) 
 NIL 
 NIL 
@@ -1640,7 +1640,7 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#2| |#1|) "\\spad{makeCos(e,{}r)} makes a sin expression with given argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,{}r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series"))) 
 ((-4399 -12 (|has| |#1| (-6 -4399)) (|has| |#2| (-6 -4399))) (-4406 . T) (-4407 . T) (-4409 . T)) 
 ((-12 (|HasAttribute| |#1| (QUOTE -4399)) (|HasAttribute| |#2| (QUOTE -4399)))) 
-(-428 R -3438) 
+(-428 R -2210) 
 ((|constructor| (NIL "\\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable."))) 
 NIL 
 NIL 
@@ -1650,17 +1650,17 @@ NIL
 ((|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-1046))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-1106))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) 
 (-430 R) 
 ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f,{} k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n,{} x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,{}f)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,{}op)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a1,{}...,{}am)**n} in \\spad{x} by \\spad{f(a1,{}...,{}am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)**ni} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)**ni} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm],{} y)} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x,{} s,{} f,{} y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f,{} [foo1,{}...,{}foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f,{} foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo,{} [x1,{}...,{}xn])} returns \\spad{'foo(x1,{}...,{}xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z,{} t)} returns \\spad{'foo(x,{}y,{}z,{}t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z)} returns \\spad{'foo(x,{}y,{}z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo,{} x,{} y)} returns \\spad{'foo(x,{}y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo,{} x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) 
-((-4409 -4012 (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4407 |has| |#1| (-172)) (-4406 |has| |#1| (-172)) ((-4414 "*") |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-556)) (-4404 |has| |#1| (-556))) 
+((-4409 -2713 (|has| |#1| (-1046)) (|has| |#1| (-473))) (-4407 |has| |#1| (-172)) (-4406 |has| |#1| (-172)) ((-4414 "*") |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-556)) (-4404 |has| |#1| (-556))) 
 NIL 
-(-431 R -3438) 
+(-431 R -2210) 
 ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,{}y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,{}y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,{}y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,{}y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,{}y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,{}y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,{}x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) 
 NIL 
 NIL 
-(-432 R -3438) 
+(-432 R -2210) 
 ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1,{} a2)} returns \\spad{[a,{} q1,{} q2,{} q]} such that \\spad{k(a1,{} a2) = k(a)},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,{}...,{}an])} returns \\spad{[a,{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-27)))) 
-(-433 R -3438) 
+(-433 R -2210) 
 ((|constructor| (NIL "This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,{}k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented"))) 
 NIL 
 NIL 
@@ -1668,7 +1668,7 @@ NIL
 ((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\""))) 
 NIL 
 NIL 
-(-435 R -3438 UP) 
+(-435 R -2210 UP) 
 ((|constructor| (NIL "\\indented{1}{Used internally by IR2F} Author: Manuel Bronstein Date Created: 12 May 1988 Date Last Updated: 22 September 1993 Keywords: function,{} space,{} polynomial,{} factoring")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}"))) 
 NIL 
 ((|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-48))))) 
@@ -1700,7 +1700,7 @@ NIL
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,{}sqf,{}pd,{}r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,{}sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r,{}sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,{}p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) 
 NIL 
 NIL 
-(-443 R UP -3438) 
+(-443 R UP -2210) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,{}p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,{}r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,{}r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,{}n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}."))) 
 NIL 
 NIL 
@@ -1747,7 +1747,7 @@ NIL
 (-454 |vl| R E) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
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 (-455 R BP) 
 ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,{}lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,{}table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,{}prime,{}lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,{}lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,{}prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it\\spad{'s} conditional."))) 
 NIL 
@@ -1812,7 +1812,7 @@ NIL
 ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with {\\em degree} \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) 
 NIL 
 NIL 
-(-471 |lv| -3438 R) 
+(-471 |lv| -2210 R) 
 ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni,{} Summer \\spad{'88},{} revised November \\spad{'89}} Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,{}lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,{}lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,{}lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}."))) 
 NIL 
 NIL 
@@ -1827,11 +1827,11 @@ NIL
 (-474 |Coef| |var| |cen|) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
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 (-475 |Key| |Entry| |Tbl| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
 ((-4413 . T)) 
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+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-847))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094)))) 
 (-476 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) 
 ((-4413 . T) (-4412 . T)) 
@@ -1847,7 +1847,7 @@ NIL
 (-479 |Key| |Entry| |hashfn|) 
 ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) 
 ((-4412 . T) (-4413 . T)) 
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+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-480) 
 ((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens,{} maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens,{} leftCandidate,{} rightCandidate,{} left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,{}wt,{}rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,{}n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) 
 NIL 
@@ -1855,11 +1855,11 @@ NIL
 (-481 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
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-(-482 -2880 S) 
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+(-482 -3926 S) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
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 ((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|Identifier|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|Identifier|))) "\\spad{headAst(f,{}[x1,{}..,{}xn])} constructs a function definition header."))) 
 NIL 
@@ -1867,8 +1867,8 @@ NIL
 (-484 S) 
 ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|heap| (($ (|List| |#1|)) "\\spad{heap(ls)} creates a heap of elements consisting of the elements of \\spad{ls}."))) 
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-(-485 -3438 UP UPUP R) 
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+(-485 -2210 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) 
 NIL 
 NIL 
@@ -1879,7 +1879,7 @@ NIL
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 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
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+((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-2713 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
 (-488 A S) 
 ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,{}u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,{}u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,{}u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,{}u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,{}u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,{}u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,{}u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
 NIL 
@@ -1904,7 +1904,7 @@ NIL
 ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-494 -3438 UP |AlExt| |AlPol|) 
+(-494 -2210 UP |AlExt| |AlPol|) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p,{} f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP."))) 
 NIL 
 NIL 
@@ -1915,16 +1915,16 @@ NIL
 (-496 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-497 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "\\indented{1}{An IndexedTwoDimensionalArray is a 2-dimensional array where} the minimal row and column indices are parameters of the type. Rows and columns are returned as IndexedOneDimensionalArray\\spad{'s} with minimal indices matching those of the IndexedTwoDimensionalArray. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-498 K R UP) 
 ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,{}lr,{}n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,{}q,{}n)} returns the list \\spad{[bas,{}bas^Frob,{}bas^(Frob^2),{}...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,{}n,{}m,{}j)} \\undocumented"))) 
 NIL 
 NIL 
-(-499 R UP -3438) 
+(-499 R UP -2210) 
 ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,{}m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{\\spad{mi}} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn} and \\spad{\\spad{mi}} is a record \\spad{[basis,{}basisDen,{}basisInv]}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then a basis \\spad{v1,{}...,{}vn} for \\spad{\\spad{mi}} is given by \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1,{} m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,{}m2,{}d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,{}m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,{}n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,{}matrixOut,{}prime,{}n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,{}sing,{}n)} is \\spad{gcd(sing,{}g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
@@ -1944,7 +1944,7 @@ NIL
 ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
 NIL 
-(-504 -3438 |Expon| |VarSet| |DPoly|) 
+(-504 -2210 |Expon| |VarSet| |DPoly|) 
 ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,{}f,{}lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,{}f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,{}lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by \\spadfunFrom{generalPosition}{PolynomialIdeals} and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,{}listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,{}listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,{}f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,{}J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,{}J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,{}lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,{}I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,{}J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,{}I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-1170))))) 
@@ -1995,7 +1995,7 @@ NIL
 (-516 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,{}a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,{}n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|Integer|)) "\\spad{physicalLength!(x,{}n)} changes the physical length of \\spad{x} to be \\spad{n} and returns the new array.")) (|physicalLength| (((|NonNegativeInteger|) $) "\\spad{physicalLength(x)} returns the number of elements \\spad{x} can accomodate before growing")) (|flexibleArray| (($ (|List| |#1|)) "\\spad{flexibleArray(l)} creates a flexible array from the list of elements \\spad{l}"))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-517) 
 ((|constructor| (NIL "This domain represents AST for conditional expressions.")) (|elseBranch| (((|SpadAst|) $) "thenBranch(\\spad{e}) returns the `else-branch' of `e'.")) (|thenBranch| (((|SpadAst|) $) "\\spad{thenBranch(e)} returns the `then-branch' of `e'.")) (|condition| (((|SpadAst|) $) "\\spad{condition(e)} returns the condition of the if-expression `e'."))) 
 NIL 
@@ -2003,15 +2003,15 @@ NIL
 (-518 |p| |n|) 
 ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| (-581 |#1|) (QUOTE (-145))) (|HasCategory| (-581 |#1|) (QUOTE (-368)))) (|HasCategory| (-581 |#1|) (QUOTE (-147))) (|HasCategory| (-581 |#1|) (QUOTE (-368))) (|HasCategory| (-581 |#1|) (QUOTE (-145)))) 
+((-2713 (|HasCategory| (-581 |#1|) (QUOTE (-145))) (|HasCategory| (-581 |#1|) (QUOTE (-368)))) (|HasCategory| (-581 |#1|) (QUOTE (-147))) (|HasCategory| (-581 |#1|) (QUOTE (-368))) (|HasCategory| (-581 |#1|) (QUOTE (-145)))) 
 (-519 R |mnRow| |mnCol| |Row| |Col|) 
 ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray\\spad{'s} of PrimitiveArray\\spad{'s}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-520 S |mn|) 
 ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,{}mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-521 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} \\spad{m*h} and \\spad{h*m} are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) 
 NIL 
@@ -2023,7 +2023,7 @@ NIL
 (-523 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-524) 
 ((|constructor| (NIL "This domain represents an `import' of types.")) (|imports| (((|List| (|TypeAst|)) $) "\\spad{imports(x)} returns the list of imported types.")) (|coerce| (($ (|List| (|TypeAst|))) "ts::ImportAst constructs an ImportAst for the list if types `ts'."))) 
 NIL 
@@ -2056,7 +2056,7 @@ NIL
 ((|constructor| (NIL "\\indented{2}{IndexedExponents of an ordered set of variables gives a representation} for the degree of polynomials in commuting variables. It gives an ordered pairing of non negative integer exponents with variables"))) 
 NIL 
 NIL 
-(-532 K -3438 |Par|) 
+(-532 K -2210 |Par|) 
 ((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,{}eps,{}factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol,{} eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}"))) 
 NIL 
 NIL 
@@ -2080,7 +2080,7 @@ NIL
 ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),{}a,{}d)} computes \\spad{product(n=a,{}a+d,{}a+2*d,{}...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,{}3,{}5...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,{}4,{}6...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,{}2,{}3...,{}f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-538 K -3438 |Par|) 
+(-538 K -2210 |Par|) 
 ((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,{}lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,{}lden,{}lvar,{}eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,{}eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,{}eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}."))) 
 NIL 
 NIL 
@@ -2131,12 +2131,12 @@ NIL
 (-550 |Key| |Entry| |addDom|) 
 ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|)))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
-(-551 R -3438) 
+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
+(-551 R -2210) 
 ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f,{} x,{} y,{} d)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) 
 NIL 
 NIL 
-(-552 R0 -3438 UP UPUP R) 
+(-552 R0 -2210 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f,{} d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f,{} d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f,{} d)} integrates \\spad{f} with respect to the derivation \\spad{d}."))) 
 NIL 
 NIL 
@@ -2146,7 +2146,7 @@ NIL
 NIL 
 (-554 R) 
 ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,{}f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,{}sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,{}sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} \\spad{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) 
-((-2441 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4124 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-555 S) 
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,{}y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,{}c,{}a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
@@ -2156,7 +2156,7 @@ NIL
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,{}y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,{}c,{}a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
 ((-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
-(-557 R -3438) 
+(-557 R -2210) 
 ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,{}x,{}k,{}[k1,{}...,{}kn])} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f,{} x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f,{} x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,{}x,{}[g1,{}...,{}gn])} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} and \\spad{d(h+sum(\\spad{ci} log(\\spad{gi})))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f,{} x,{} g)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) 
 NIL 
 NIL 
@@ -2168,7 +2168,7 @@ NIL
 ((|constructor| (NIL "\\blankline")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} \\undocumented{}")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) "\\spad{entries(x)} \\undocumented{}")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} \\undocumented{}")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions."))) 
 NIL 
 NIL 
-(-560 R -3438 L) 
+(-560 R -2210 L) 
 ((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x,{} y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,{}g,{}x,{}y,{}z,{}t,{}c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op,{} g,{} x,{} y,{} d,{} p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,{}k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,{}k,{}f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,{}k,{}k,{}p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f,{} g,{} x,{} y,{} foo,{} t,{} c)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a,{} b,{} x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f,{} g,{} x,{} y,{} foo,{} d,{} p)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a,{} b,{} x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f,{} x,{} y,{} [u1,{}...,{}un],{} z,{} t,{} c)} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f,{} x,{} y,{} [u1,{}...,{}un],{} d,{} p)} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f,{} x,{} y,{} g,{} z,{} t,{} c)} returns functions \\spad{[h,{} d]} such that \\spad{dh/dx = f(x,{}y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,{}y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f,{} x,{} y,{} g,{} d,{} p)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f(x,{}y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f,{} x,{} y,{} z,{} t,{} c)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,{}y)dx = c f(t,{}y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,{}y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f,{} x,{} y,{} d,{} p)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -652) (|devaluate| |#2|)))) 
@@ -2176,11 +2176,11 @@ NIL
 ((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,{}k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,{}p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note: because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,{}p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,{}b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note: by convention,{} 0 is returned if \\spad{gcd(a,{}b) ~= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,{}k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,{}1/2)},{} where \\spad{E(n,{}x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,{}m1,{}x2,{}m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note: \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,{}0)},{} where \\spad{B(n,{}x)} is the \\spad{n}th Bernoulli polynomial."))) 
 NIL 
 NIL 
-(-562 -3438 UP UPUP R) 
+(-562 -2210 UP UPUP R) 
 ((|constructor| (NIL "algebraic Hermite redution.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f,{} ')} returns \\spad{[g,{}h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles."))) 
 NIL 
 NIL 
-(-563 -3438 UP) 
+(-563 -2210 UP) 
 ((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f,{} D)} returns \\spad{[g,{} h,{} s,{} p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}."))) 
 NIL 
 NIL 
@@ -2192,15 +2192,15 @@ NIL
 ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp,{} x = a..b,{} numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp,{} x = a..b,{} \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsabs,{} epsrel,{} routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsabs,{} epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...],{} epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp,{} [a..b,{}c..d,{}...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp,{} a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp,{} a..b,{} epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp,{} a..b,{} epsabs,{} epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp,{} a..b,{} epsrel,{} routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}."))) 
 NIL 
 NIL 
-(-566 R -3438 L) 
+(-566 R -2210 L) 
 ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op,{} g,{} kx,{} y,{} x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp,{} f,{} g,{} x,{} y,{} foo)} returns a function \\spad{z(x,{}y)} such that \\spad{dz/dx + n * df/dx z(x,{}y) = g(x,{}y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a,{} b,{} x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f,{} x,{} y,{} [u1,{}...,{}un])} returns functions \\spad{[h,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{ui})))/dx = f(x,{}y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f,{} x,{} y,{} g)} returns functions \\spad{[h,{} c]} such that \\spad{dh/dx = f(x,{}y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f,{} x,{} y)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -652) (|devaluate| |#2|)))) 
-(-567 R -3438) 
+(-567 R -2210) 
 ((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f,{} x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f,{} x)} returns either \"failed\" or \\spad{[g,{}h]} such that \\spad{integrate(f,{}x) = g + integrate(h,{}x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f,{} x)} returns either \"failed\" or \\spad{[g,{}h]} such that \\spad{integrate(f,{}x) = g + integrate(h,{}x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f,{} x)} returns \\spad{[c,{} g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}."))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-1133)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-627))))) 
-(-568 -3438 UP) 
+(-568 -2210 UP) 
 ((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f,{} [g1,{}...,{}gn])} returns fractions \\spad{[h,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(\\spad{ci} log(\\spad{gi})))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f,{} g)} returns fractions \\spad{[h,{} c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h,{} c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) 
 NIL 
 NIL 
@@ -2208,27 +2208,27 @@ NIL
 ((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer."))) 
 NIL 
 NIL 
-(-570 -3438) 
+(-570 -2210) 
 ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f,{} x,{} g)} returns fractions \\spad{[h,{} c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h,{} c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f,{} x,{} [g1,{}...,{}gn])} returns fractions \\spad{[h,{} [[\\spad{ci},{}\\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(\\spad{ci} log(\\spad{gi})))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f,{} x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) 
 NIL 
 NIL 
 (-571 R) 
 ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals."))) 
-((-2441 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4124 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-572) 
 ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1,{} ...,{} fn],{} g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
-(-573 R -3438) 
+(-573 R -2210) 
 ((|constructor| (NIL "\\indented{1}{Tools for the integrator} Author: Manuel Bronstein Date Created: 25 April 1990 Date Last Updated: 9 June 1993 Keywords: elementary,{} function,{} integration.")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f,{} x,{} int,{} pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f,{} x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f,{} x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,{}...,{}fn],{}x)} returns the set-theoretic union of \\spad{(varselect(f1,{}x),{}...,{}varselect(fn,{}x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1,{} l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k,{} [k1,{}...,{}kn],{} x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,{}...,{}kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,{}...,{}kn],{} x)} returns the \\spad{ki} which involve \\spad{x}."))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-284))) (|HasCategory| |#2| (QUOTE (-627))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-284)))) (|HasCategory| |#1| (QUOTE (-556)))) 
-(-574 -3438 UP) 
+(-574 -2210 UP) 
 ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p,{} ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f,{} ')} returns \\spad{[ir,{} s,{} p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p,{} foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p,{} ',{} t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f,{} ',{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[\\spad{ci} * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f,{} ',{} g)} returns \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f,{} ',{} foo,{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn],{} a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,{}[\\spad{ci} * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f,{} ',{} foo,{} [u1,{}...,{}un])} returns \\spad{[v,{} [c1,{}...,{}cn],{} a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,{}[\\spad{ci} * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f,{} ',{} foo,{} g)} returns either \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f,{} ',{} foo,{} g)} returns either \\spad{[v,{} c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f,{} ',{} foo)} returns \\spad{[g,{} a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) 
 NIL 
 NIL 
-(-575 R -3438) 
+(-575 R -2210) 
 ((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f,{} s,{} t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form."))) 
 NIL 
 NIL 
@@ -2260,15 +2260,15 @@ NIL
 ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) 
 NIL 
 NIL 
-(-583 R -3438) 
+(-583 R -2210) 
 ((|constructor| (NIL "This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,{}x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,{}x) + ... + sum_{Pn(a)=0} Q(a,{}x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) 
 NIL 
 NIL 
-(-584 E -3438) 
+(-584 E -2210) 
 ((|constructor| (NIL "\\indented{1}{Internally used by the integration packages} Author: Manuel Bronstein Date Created: 1987 Date Last Updated: 12 August 1992 Keywords: integration.")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,{}ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,{}ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,{}ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,{}ire)} \\undocumented"))) 
 NIL 
 NIL 
-(-585 -3438) 
+(-585 -2210) 
 ((|constructor| (NIL "If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,{}x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,{}D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,{}x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,{}x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,{}l,{}ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}."))) 
 ((-4407 . T) (-4406 . T)) 
 ((|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-1170))))) 
@@ -2299,7 +2299,7 @@ NIL
 (-592 |mn|) 
 ((|constructor| (NIL "This domain implements low-level strings")) (|hash| (((|Integer|) $) "\\spad{hash(x)} provides a hashing function for strings"))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (-4012 (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094)))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
+((-2713 (-12 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (-2713 (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094)))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
 (-593 E V R P) 
 ((|constructor| (NIL "tools for the summation packages.")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n),{} n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n),{} n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) 
 NIL 
@@ -2307,7 +2307,7 @@ NIL
 (-594 |Coef|) 
 ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,{}r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,{}r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,{}refer,{}var,{}cen,{}r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,{}g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,{}g,{}taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,{}f)} returns the series \\spad{sum(fn(n) * an * x^n,{}n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,{}n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,{}str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3714) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) 
 (-595 |Coef|) 
 ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.") (($ $ |#1|) "\\spad{x*c} returns the product of \\spad{c} and the series \\spad{x}.") (($ |#1| $) "\\spad{c*x} returns the product of \\spad{c} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,{}n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) 
 ((-4407 |has| |#1| (-556)) (-4406 |has| |#1| (-556)) ((-4414 "*") |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4409 . T)) 
@@ -2320,7 +2320,7 @@ NIL
 ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,{}a,{}b)} \\undocumented"))) 
 NIL 
 NIL 
-(-598 R -3438 FG) 
+(-598 R -2210 FG) 
 ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f,{} [k1,{}...,{}kn],{} [x1,{}...,{}xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{\\spad{xi}'s} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{\\spad{ki}'s},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) 
 NIL 
 NIL 
@@ -2331,7 +2331,7 @@ NIL
 (-600 R |mn|) 
 ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-601 S |Index| |Entry|) 
 ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,{}i,{}j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,{}x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,{}u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,{}u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
 NIL 
@@ -2350,12 +2350,12 @@ NIL
 NIL 
 (-605 R A) 
 ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,{}b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) 
-((-4409 -4012 (-4264 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))) (-4407 . T) (-4406 . T)) 
-((-4012 (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) 
+((-4409 -2713 (-2832 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))) (-4407 . T) (-4406 . T)) 
+((-2713 (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) 
 (-606 |Entry|) 
 ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| (-1152) (QUOTE (-847))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| (-1152) (QUOTE (-847))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-607 S |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,{}t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,{}t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,{}t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
 NIL 
@@ -2380,7 +2380,7 @@ NIL
 ((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) 
 NIL 
 NIL 
-(-613 -3438 UP) 
+(-613 -2210 UP) 
 ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2,{}ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions."))) 
 NIL 
 NIL 
@@ -2408,7 +2408,7 @@ NIL
 ((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 ((|HasCategory| |#1| (QUOTE (-845)))) 
-(-620 R -3438) 
+(-620 R -2210) 
 ((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f,{} t,{} s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t),{} t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f,{} t,{} s)} if it cannot compute the transform."))) 
 NIL 
 NIL 
@@ -2440,18 +2440,18 @@ NIL
 ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%\\spad{pi})} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{\\spad{li}(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{\\spad{Ci}(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{\\spad{Si}(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{\\spad{Ei}(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) 
 NIL 
 NIL 
-(-628 R -3438) 
+(-628 R -2210) 
 ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,{}x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,{}x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{\\spad{li}(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{\\spad{Ci}(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{\\spad{Si}(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{\\spad{Ei}(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) 
 NIL 
 NIL 
-(-629 |lv| -3438) 
+(-629 |lv| -2210) 
 ((|constructor| (NIL "\\indented{1}{Given a Groebner basis \\spad{B} with respect to the total degree ordering for} a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented"))) 
 NIL 
 NIL 
 (-630) 
 ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|elt| (((|Any|) $ (|Symbol|)) "\\spad{elt(lib,{}k)} or \\spad{lib}.\\spad{k} extracts the value corresponding to the key \\spad{k} from the library \\spad{lib}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) 
 ((-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -2575) (QUOTE (-52))))))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-1152) (QUOTE (-847))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (QUOTE (-1094)))) 
+((-12 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -3096) (QUOTE (-52))))))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-1152) (QUOTE (-847))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (QUOTE (-1094)))) 
 (-631 S R) 
 ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
 NIL 
@@ -2462,8 +2462,8 @@ NIL
 NIL 
 (-633 R A) 
 ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,{}b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) 
-((-4409 -4012 (-4264 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))) (-4407 . T) (-4406 . T)) 
-((-4012 (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) 
+((-4409 -2713 (-2832 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))) (-4407 . T) (-4406 . T)) 
+((-2713 (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (LIST (QUOTE -417) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -367) (|devaluate| |#1|)))) 
 (-634 R FE) 
 ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),{}x = a)} computes the complex limit \\spad{lim(x -> a,{}f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),{}x=a,{}\"left\")} computes the left hand real limit \\spad{lim(x -> a-,{}f(x))}; \\spad{limit(f(x),{}x=a,{}\"right\")} computes the right hand real limit \\spad{lim(x -> a+,{}f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),{}x = a)} computes the real limit \\spad{lim(x -> a,{}f(x))}."))) 
 NIL 
@@ -2475,7 +2475,7 @@ NIL
 (-636 S R) 
 ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,{}...,{}vn])} returns \\spad{[c1,{}...,{}cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,{}...,{}vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) 
 NIL 
-((-4253 (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-363)))) 
+((-2819 (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-363)))) 
 (-637 R) 
 ((|constructor| (NIL "An extension ring with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A,{} v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}."))) 
 ((-4409 . T)) 
@@ -2495,7 +2495,7 @@ NIL
 (-641 S) 
 ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,{}u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,{}u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,{}u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,{}u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,{}u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil()} returns the empty list."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-825))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-825))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-642 T$) 
 ((|constructor| (NIL "This domain represents AST for Spad literals."))) 
 NIL 
@@ -2503,7 +2503,7 @@ NIL
 (-643 S) 
 ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,{}y,{}d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-644 R) 
 ((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline")) (* (($ |#1| $) "\\spad{r*x} returns the left multiplication of the module element \\spad{x} by the ring element \\spad{r}."))) 
 NIL 
@@ -2520,7 +2520,7 @@ NIL
 ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,{}i..j,{}x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,{}u,{}k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,{}u,{}i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,{}i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,{}i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|elt| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{elt(u,{}i..j)} (also written: \\axiom{a(\\spad{i}..\\spad{j})}) returns the aggregate of elements \\axiom{\\spad{u}} for \\spad{k} from \\spad{i} to \\spad{j} in that order. Note: in general,{} \\axiom{a.\\spad{s} = [a.\\spad{k} for \\spad{i} in \\spad{s}]}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,{}u,{}v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,{}u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,{}x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,{}x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) 
 NIL 
 NIL 
-(-648 R -3438 L) 
+(-648 R -2210 L) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op,{} g,{} x,{} a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{op y = g,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op,{} g,{} x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) 
 NIL 
 NIL 
@@ -2540,11 +2540,11 @@ NIL
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|directSum| (($ $ $) "\\spad{directSum(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,{}a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,{}n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,{}b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
-(-653 -3438 UP) 
+(-653 -2210 UP) 
 ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a,{} zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-654 A -3750) 
+(-654 A -2034) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-363)))) 
@@ -2580,11 +2580,11 @@ NIL
 ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) 
 ((-4413 . T) (-4412 . T)) 
 NIL 
-(-663 -3438) 
+(-663 -2210) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,{}B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,{}B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,{}B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
-(-664 -3438 |Row| |Col| M) 
+(-664 -2210 |Row| |Col| M) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,{}B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,{}B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,{}B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
@@ -2595,7 +2595,7 @@ NIL
 (-666 |n| R) 
 ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by \\spad{a*b := (a *\\$SQMATRIX(n,{}R) b - b *\\$SQMATRIX(n,{}R) a)},{} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) 
 ((-4409 . T) (-4412 . T) (-4406 . T) (-4407 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-556))) (-4012 (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-172)))) 
+((|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-556))) (-2713 (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-172)))) 
 (-667) 
 ((|constructor| (NIL "This domain represents `literal sequence' syntax.")) (|elements| (((|List| (|SpadAst|)) $) "\\spad{elements(e)} returns the list of expressions in the `literal' list `e'."))) 
 NIL 
@@ -2615,7 +2615,7 @@ NIL
 (-671 R) 
 ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,{}x,{}y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,{}i,{}j,{}k,{}s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,{}i,{}j,{}k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,{}y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,{}j,{}k)} create a matrix with all zero terms"))) 
 NIL 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (QUOTE (-1046))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-672) 
 ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition \\spad{`m'}.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition \\spad{`m'}. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) 
 NIL 
@@ -2671,7 +2671,7 @@ NIL
 (-685 R) 
 ((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) 
 ((-4412 . T) (-4413 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-556))) (|HasAttribute| |#1| (QUOTE (-4414 "*"))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-686 R) 
 ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,{}b,{}c,{}m,{}n)} computes \\spad{m} \\spad{**} \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,{}a,{}b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,{}a,{}r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,{}r,{}a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,{}a,{}b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,{}a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,{}a,{}b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,{}a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) 
 NIL 
@@ -2680,7 +2680,7 @@ NIL
 ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%."))) 
 NIL 
 NIL 
-(-688 S -3438 FLAF FLAS) 
+(-688 S -2210 FLAF FLAS) 
 ((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,{}xlist,{}kl,{}ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} kl+ku+1 being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions kl+ku+1 by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row ku+1,{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,{}xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,{}xlist,{}k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,{}xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,{}xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,{}xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,{}xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}."))) 
 NIL 
 NIL 
@@ -2690,8 +2690,8 @@ NIL
 NIL 
 (-690) 
 ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) 
-((-4405 . T) (-4410 |has| (-695) (-363)) (-4404 |has| (-695) (-363)) (-2453 . T) (-4411 |has| (-695) (-6 -4411)) (-4408 |has| (-695) (-6 -4408)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-695) (QUOTE (-147))) (|HasCategory| (-695) (QUOTE (-145))) (|HasCategory| (-695) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-368))) (|HasCategory| (-695) (QUOTE (-363))) (-4012 (|HasCategory| (-695) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-233))) (-4012 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (LIST (QUOTE -286) (QUOTE (-695)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -309) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-695) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (-4012 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-695) (QUOTE (-1019))) (|HasCategory| (-695) (QUOTE (-1194))) (-12 (|HasCategory| (-695) (QUOTE (-999))) (|HasCategory| (-695) (QUOTE (-1194)))) (-4012 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-363))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-906))))) (-4012 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (-12 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-906)))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-906))))) (|HasCategory| (-695) (QUOTE (-545))) (-12 (|HasCategory| (-695) (QUOTE (-1055))) (|HasCategory| (-695) (QUOTE (-1194)))) (|HasCategory| (-695) (QUOTE (-1055))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906))) (-4012 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-363)))) (-4012 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-556)))) (-12 (|HasCategory| (-695) (QUOTE (-233))) (|HasCategory| (-695) (QUOTE (-363)))) (-12 (|HasCategory| (-695) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-847))) (|HasCategory| (-695) (QUOTE (-556))) (|HasAttribute| (-695) (QUOTE -4411)) (|HasAttribute| (-695) (QUOTE -4408)) (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-145)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-349))))) 
+((-4405 . T) (-4410 |has| (-695) (-363)) (-4404 |has| (-695) (-363)) (-4134 . T) (-4411 |has| (-695) (-6 -4411)) (-4408 |has| (-695) (-6 -4408)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((|HasCategory| (-695) (QUOTE (-147))) (|HasCategory| (-695) (QUOTE (-145))) (|HasCategory| (-695) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-368))) (|HasCategory| (-695) (QUOTE (-363))) (-2713 (|HasCategory| (-695) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-233))) (-2713 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (LIST (QUOTE -286) (QUOTE (-695)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -309) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-695) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (-2713 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-695) (QUOTE (-1019))) (|HasCategory| (-695) (QUOTE (-1194))) (-12 (|HasCategory| (-695) (QUOTE (-999))) (|HasCategory| (-695) (QUOTE (-1194)))) (-2713 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-363))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-906))))) (-2713 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (-12 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-906)))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-906))))) (|HasCategory| (-695) (QUOTE (-545))) (-12 (|HasCategory| (-695) (QUOTE (-1055))) (|HasCategory| (-695) (QUOTE (-1194)))) (|HasCategory| (-695) (QUOTE (-1055))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906))) (-2713 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-363)))) (-2713 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-556)))) (-12 (|HasCategory| (-695) (QUOTE (-233))) (|HasCategory| (-695) (QUOTE (-363)))) (-12 (|HasCategory| (-695) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-847))) (|HasCategory| (-695) (QUOTE (-556))) (|HasAttribute| (-695) (QUOTE -4411)) (|HasAttribute| (-695) (QUOTE -4408)) (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-145)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-906)))) (|HasCategory| (-695) (QUOTE (-349))))) 
 (-691 S) 
 ((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,{}d,{}n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) 
 ((-4413 . T)) 
@@ -2704,13 +2704,13 @@ NIL
 ((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: \\spad{??} Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,{}b,{}c,{}d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,{}t,{}u,{}f,{}s1,{}l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,{}g,{}s1,{}s2,{}l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,{}f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}g,{}h,{}j,{}s1,{}s2,{}l)} \\undocumented"))) 
 NIL 
 NIL 
-(-694 OV E -3438 PG) 
+(-694 OV E -2210 PG) 
 ((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field."))) 
 NIL 
 NIL 
 (-695) 
 ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,{}man,{}base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}"))) 
-((-2441 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
+((-4124 . T) (-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-696 R) 
 ((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,{}d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m,{} d,{} p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,{}p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m,{} d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) 
@@ -2740,7 +2740,7 @@ NIL
 ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,{}b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) 
 NIL 
 NIL 
-(-703 S -2238 I) 
+(-703 S -3256 I) 
 ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr,{} x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) 
 NIL 
 NIL 
@@ -2760,14 +2760,14 @@ NIL
 ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) 
 NIL 
 NIL 
-(-708 R |Mod| -3126 -3678 |exactQuo|) 
+(-708 R |Mod| -3895 -2057 |exactQuo|) 
 ((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-709 R |Rep|) 
 ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4408 |has| |#1| (-363)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-906))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
+((|HasCategory| |#1| (QUOTE (-906))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-710 IS E |ff|) 
 ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,{}e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) 
 NIL 
@@ -2776,7 +2776,7 @@ NIL
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
 ((-4407 |has| |#1| (-172)) (-4406 |has| |#1| (-172)) (-4409 . T)) 
 ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147)))) 
-(-712 R |Mod| -3126 -3678 |exactQuo|) 
+(-712 R |Mod| -3895 -2057 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4409 . T)) 
 NIL 
@@ -2788,7 +2788,7 @@ NIL
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) 
 ((-4407 . T) (-4406 . T)) 
 NIL 
-(-715 -3438) 
+(-715 -2210) 
 ((|constructor| (NIL "\\indented{1}{MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius)} transformations over \\spad{F}.")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,{}x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,{}b,{}c,{}d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).") ((|#1| $ |#1|) "\\spad{eval(m,{}x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,{}b,{}c,{}d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,{}1],{}[1,{}0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,{}h)} returns \\spad{scale(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,{}0],{}[0,{}1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,{}h)} returns \\spad{shift(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,{}k],{}[0,{}1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,{}b,{}c,{}d)} returns \\spad{matrix [[a,{}b],{}[c,{}d]]}."))) 
 ((-4409 . T)) 
 NIL 
@@ -2824,7 +2824,7 @@ NIL
 ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) 
 NIL 
 NIL 
-(-724 -3438 UP) 
+(-724 -2210 UP) 
 ((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f,{} D)} returns \\spad{[p,{}n,{}s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f,{} D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p,{} D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m,{} s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p,{} D)} returns \\spad{[n,{}s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
@@ -2843,7 +2843,7 @@ NIL
 (-728 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) 
 (((-4414 "*") |has| |#2| (-172)) (-4405 |has| |#2| (-556)) (-4410 |has| |#2| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#2| (QUOTE (-906))) (-4012 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-906)))) (-4012 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-906)))) (-4012 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-4012 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-847))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4410)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-145))))) 
+((|HasCategory| |#2| (QUOTE (-906))) (-2713 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-906)))) (-2713 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-906)))) (-2713 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2713 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-861 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-847))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4410)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-145))))) 
 (-729 E OV R PRF) 
 ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,{}var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,{}var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,{}var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
@@ -2976,11 +2976,11 @@ NIL
 ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,{}eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,{}eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,{}x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable."))) 
 NIL 
 NIL 
-(-762 -3438) 
+(-762 -2210) 
 ((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions \\indented{2}{for converting floating point numbers to continued fractions.}")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction."))) 
 NIL 
 NIL 
-(-763 P -3438) 
+(-763 P -2210) 
 ((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,{}b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,{}b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,{}b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,{}b)} computes the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,{}b)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}."))) 
 NIL 
 NIL 
@@ -2988,7 +2988,7 @@ NIL
 NIL 
 NIL 
 NIL 
-(-765 UP -3438) 
+(-765 UP -2210) 
 ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) 
 NIL 
 NIL 
@@ -3004,7 +3004,7 @@ NIL
 ((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non \\indented{2}{negative integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,{}i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,{}b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,{}b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,{}b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder."))) 
 (((-4414 "*") . T)) 
 NIL 
-(-769 R -3438) 
+(-769 R -2210) 
 ((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,{}y),{} N(x,{}y),{} y,{} x)} returns \\spad{F(x,{}y)} such that \\spad{F(x,{}y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,{}y) dx + N(x,{}y) dy = 0},{} or \"failed\" if no first-integral can be found."))) 
 NIL 
 NIL 
@@ -3024,7 +3024,7 @@ NIL
 ((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}."))) 
 NIL 
 NIL 
-(-774 -3438 |ExtF| |SUEx| |ExtP| |n|) 
+(-774 -2210 |ExtF| |SUEx| |ExtP| |n|) 
 ((|constructor| (NIL "This package \\undocumented")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3039,7 +3039,7 @@ NIL
 (-777 R |VarSet|) 
 ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
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 (-778 R S) 
 ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) 
 NIL 
@@ -3047,7 +3047,7 @@ NIL
 (-779 R) 
 ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) 
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 (-780 R) 
 ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,{}r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,{}r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,{}r)} \\undocumented"))) 
 NIL 
@@ -3108,23 +3108,23 @@ NIL
 ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,{}\\spad{ri},{}rj,{}rk,{}rE,{}rI,{}rJ,{}rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
-(-795 -4012 R OS S) 
+(-795 -2713 R OS S) 
 ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,{}u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) 
 NIL 
 NIL 
 (-796 R) 
 ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,{}qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
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 (-797) 
 ((|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-798 R -3438 L) 
+(-798 R -2210 L) 
 ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op,{} g,{} x)} returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{\\spad{yi}}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) 
 NIL 
 NIL 
-(-799 R -3438) 
+(-799 R -2210) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq,{} y,{} x = a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{eq,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,{}y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq,{} y,{} x = a,{} [y0,{}...,{}ym])} returns either the solution of the initial value problem \\spad{eq,{} y(a) = y0,{} y'(a) = y1,{}...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,{}y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq,{} y,{} x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,{}y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,{}y)} where \\spad{h(x,{}y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq,{} y,{} x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h,{} [b1,{}...,{}bm]]} where \\spad{h} is a particular solution and \\spad{[b1,{}...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,{}y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,{}y)} where \\spad{h(x,{}y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,{}...,{}eq_n],{} [y_1,{}...,{}y_n],{} x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p,{} [b_1,{}...,{}b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,{}...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,{}...,{}eq_n],{} [y_1,{}...,{}y_n],{} x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p,{} [b_1,{}...,{}b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,{}...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m,{} x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m,{} v,{} x)} returns \\spad{[v_p,{} [v_1,{}...,{}v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable."))) 
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@@ -3132,7 +3132,7 @@ NIL
 ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions."))) 
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-(-801 R -3438) 
+(-801 R -2210) 
 ((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f,{} x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f,{} x)} returns the integral of \\spad{f} with respect to \\spad{x}."))) 
 NIL 
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@@ -3140,11 +3140,11 @@ NIL
 ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,{}R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}intVals,{}epsabs,{}epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}intVals,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}intVals,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}G,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial,{}tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,{}xStart,{}xEnd,{}yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with a starting value for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{X}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,{}R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) 
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-(-803 -3438 UP UPUP R) 
+(-803 -2210 UP UPUP R) 
 ((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation."))) 
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-(-804 -3438 UP L LQ) 
+(-804 -2210 UP L LQ) 
 ((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the transcendental case.} \\indented{1}{The derivation to use is given by the parameter \\spad{L}.}")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op,{} [g1,{}...,{}gm])} returns \\spad{op0,{} [h1,{}...,{}hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op,{} a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op,{} a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op,{} p)} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op,{} p)} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,{}e1],{}...,{}[dq,{}eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op,{} [g1,{}...,{}gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op,{} g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution."))) 
 NIL 
 NIL 
@@ -3152,38 +3152,38 @@ NIL
 ((|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} \\undocumented{}")) (|coerce| (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-806 -3438 UP L LQ) 
+(-806 -2210 UP L LQ) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^i}]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^i}]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op,{} zeros,{} ezfactor)} returns \\spad{[[f1,{} L1],{} [f2,{} L2],{} ... ,{} [fk,{} Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{\\spad{Li} z=0}. \\spad{zeros(C(x),{}H(x,{}y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,{}P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op,{} zeros)} returns \\spad{[[p1,{} L1],{} [p2,{} L2],{} ... ,{} [pk,{} Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{\\spad{Li} z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op,{} ric)} returns \\spad{[[a1,{} L1],{} [a2,{} L2],{} ... ,{} [ak,{} Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int \\spad{ai}}} is \\spad{\\spad{Li} z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1,{} p1],{} [m2,{} p2],{} ... ,{} [mk,{} pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) 
 NIL 
 NIL 
-(-807 -3438 UP) 
+(-807 -2210 UP) 
 ((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the rational case.}")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op,{} [g1,{}...,{}gm])} returns \\spad{[[h1,{}...,{}hq],{} M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,{}...,{}dq,{}c1,{}...,{}cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op,{} [g1,{}...,{}gm])} returns \\spad{[[h1,{}...,{}hq],{} M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,{}...,{}dq,{}c1,{}...,{}cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op,{} g)} returns \\spad{[\"failed\",{} []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f,{} [y1,{}...,{}ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation."))) 
 NIL 
 NIL 
-(-808 -3438 L UP A LO) 
+(-808 -2210 L UP A LO) 
 ((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op,{} g)} returns \\spad{[m,{} v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,{}...,{}z_m) . (b_1,{}...,{}b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}."))) 
 NIL 
 NIL 
-(-809 -3438 UP) 
+(-809 -2210 UP) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op,{} zeros)} returns \\spad{[[p1,{} L1],{} [p2,{} L2],{} ... ,{} [pk,{}Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{\\spad{Li} z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op,{} ezfactor)} returns \\spad{[[f1,{}L1],{} [f2,{}L2],{}...,{} [fk,{}Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int \\spad{ai}}} is \\spad{\\spad{Li} z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} zeros,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op,{} zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op,{} zeros,{} ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op,{} zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-810 -3438 LO) 
+(-810 -2210 LO) 
 ((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m,{} v,{} solve)} returns \\spad{[[v_1,{}...,{}v_m],{} v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m,{} v,{} solve)} returns \\spad{[[v_1,{}...,{}v_m],{} v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m,{} v)} returns \\spad{[m_0,{} v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,{}v)} returns \\spad{A,{}[[C_1,{}g_1,{}L_1,{}h_1],{}...,{}[C_k,{}g_k,{}L_k,{}h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}."))) 
 NIL 
 NIL 
-(-811 -3438 LODO) 
+(-811 -2210 LODO) 
 ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op,{} g,{} [f1,{}...,{}fm],{} I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,{}...,{}fm]} are linearly independent and \\spad{op(\\spad{fi})=0}. The value \"failed\" is returned if no particular solution is found. Note: the method of variations of parameters is used.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op,{} g,{} [f1,{}...,{}fm])} returns \\spad{[u1,{}...,{}um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,{}...,{}fm]} are linearly independent and \\spad{op(\\spad{fi})=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,{}...,{}fn],{} q,{} D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,{}...,{}fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}."))) 
 NIL 
 NIL 
-(-812 -2880 S |f|) 
+(-812 -3926 S |f|) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
 ((-4406 |has| |#2| (-1046)) (-4407 |has| |#2| (-1046)) (-4409 |has| |#2| (-6 -4409)) ((-4414 "*") |has| |#2| (-172)) (-4412 . T)) 
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(|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170))))) (-2713 (|HasCategory| |#2| (QUOTE (-1046))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-1094)))) (|HasAttribute| |#2| (QUOTE -4409)) (|HasCategory| |#2| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))))) 
 (-813 R) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-906))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
+((|HasCategory| |#1| (QUOTE (-906))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-815 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-814 |Kernels| R |var|) 
 ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) 
 (((-4414 "*") |has| |#2| (-363)) (-4405 |has| |#2| (-363)) (-4410 |has| |#2| (-363)) (-4404 |has| |#2| (-363)) (-4409 . T) (-4407 . T) (-4406 . T)) 
@@ -3251,7 +3251,7 @@ NIL
 (-830 R) 
 ((|constructor| (NIL "Adjunction of a complex infinity to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) 
 ((-4409 |has| |#1| (-845))) 
-((|HasCategory| |#1| (QUOTE (-845))) (-4012 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-4012 (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-21)))) 
+((|HasCategory| |#1| (QUOTE (-845))) (-2713 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-2713 (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-21)))) 
 (-831 A S) 
 ((|constructor| (NIL "This category specifies the interface for operators used to build terms,{} in the sense of Universal Algebra. The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator `op'.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of `op'."))) 
 NIL 
@@ -3291,12 +3291,12 @@ NIL
 (-840 R) 
 ((|constructor| (NIL "Adjunction of two real infinites quantities to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) 
 ((-4409 |has| |#1| (-845))) 
-((|HasCategory| |#1| (QUOTE (-845))) (-4012 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-4012 (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-21)))) 
+((|HasCategory| |#1| (QUOTE (-845))) (-2713 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (-2713 (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-21)))) 
 (-841) 
 ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) 
 NIL 
 NIL 
-(-842 -2880 S) 
+(-842 -3926 S) 
 ((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,{}v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) 
 NIL 
 NIL 
@@ -3332,11 +3332,11 @@ NIL
 ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and \\indented{1}{divisions of univariate skew polynomials.}")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a,{} b,{} sigma)} returns the pair \\spad{[q,{}r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p,{} c,{} m,{} sigma,{} delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p,{} q,{} sigma,{} delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) 
-(-851 R |sigma| -3225) 
+(-851 R |sigma| -4287) 
 ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,{} x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-363)))) 
-(-852 |x| R |sigma| -3225) 
+(-852 |x| R |sigma| -4287) 
 ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}."))) 
 ((-4406 . T) (-4407 . T) (-4409 . T)) 
 ((|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-363)))) 
@@ -3403,15 +3403,15 @@ NIL
 (-868 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-867 |#1|) (QUOTE (-906))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-867 |#1|) (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-147))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-867 |#1|) (QUOTE (-1019))) (|HasCategory| (-867 |#1|) (QUOTE (-817))) (-4012 (|HasCategory| (-867 |#1|) (QUOTE (-817))) (|HasCategory| (-867 |#1|) (QUOTE (-847)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (QUOTE (-1145))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (QUOTE (-233))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -309) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -286) (LIST (QUOTE -867) (|devaluate| |#1|)) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (QUOTE (-307))) (|HasCategory| (-867 |#1|) (QUOTE (-545))) (|HasCategory| (-867 |#1|) (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-906)))) (|HasCategory| (-867 |#1|) (QUOTE (-145))))) 
+((|HasCategory| (-867 |#1|) (QUOTE (-906))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-867 |#1|) (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-147))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-867 |#1|) (QUOTE (-1019))) (|HasCategory| (-867 |#1|) (QUOTE (-817))) (-2713 (|HasCategory| (-867 |#1|) (QUOTE (-817))) (|HasCategory| (-867 |#1|) (QUOTE (-847)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (QUOTE (-1145))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-867 |#1|) (QUOTE (-233))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -309) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (LIST (QUOTE -286) (LIST (QUOTE -867) (|devaluate| |#1|)) (LIST (QUOTE -867) (|devaluate| |#1|)))) (|HasCategory| (-867 |#1|) (QUOTE (-307))) (|HasCategory| (-867 |#1|) (QUOTE (-545))) (|HasCategory| (-867 |#1|) (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-867 |#1|) (QUOTE (-906)))) (|HasCategory| (-867 |#1|) (QUOTE (-145))))) 
 (-869 |p| PADIC) 
 ((|constructor| (NIL "This is the category of stream-based representations of \\spad{Qp}.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,{}x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,{}n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#2| (QUOTE (-906))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-1019))) (|HasCategory| |#2| (QUOTE (-817))) (-4012 (|HasCategory| |#2| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-847)))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-1145))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -286) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-145))))) 
+((|HasCategory| |#2| (QUOTE (-906))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-1019))) (|HasCategory| |#2| (QUOTE (-817))) (-2713 (|HasCategory| |#2| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-847)))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-1145))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -286) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-847))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-906)))) (|HasCategory| |#2| (QUOTE (-145))))) 
 (-870 S T$) 
 ((|constructor| (NIL "\\indented{1}{This domain provides a very simple representation} of the notion of `pair of objects'. It does not try to achieve all possible imaginable things.")) (|second| ((|#2| $) "\\spad{second(p)} extracts the second components of \\spad{`p'}.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of \\spad{`p'}.")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,{}t)} is same as pair(\\spad{s},{}\\spad{t}),{} with syntactic sugar.")) (|pair| (($ |#1| |#2|) "\\spad{pair(s,{}t)} returns a pair object composed of \\spad{`s'} and \\spad{`t'}."))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))))) 
 (-871) 
 ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it\\spad{'s} highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it\\spad{'s} lowest value."))) 
 NIL 
@@ -3467,7 +3467,7 @@ NIL
 (-884 |Base| |Subject| |Pat|) 
 ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,{}...,{}en],{} pat)} matches the pattern pat on the list of expressions \\spad{[e1,{}...,{}en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,{}...,{}en],{} pat)} tests if the list of expressions \\spad{[e1,{}...,{}en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr,{} pat)} tests if the expression \\spad{expr} matches the pattern pat."))) 
 NIL 
-((-12 (-4253 (|HasCategory| |#2| (QUOTE (-1046)))) (-4253 (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (-4253 (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170))))) 
+((-12 (-2819 (|HasCategory| |#2| (QUOTE (-1046)))) (-2819 (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))))) (-12 (|HasCategory| |#2| (QUOTE (-1046))) (-2819 (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170))))) 
 (-885 R A B) 
 ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f,{} [(v1,{}a1),{}...,{}(vn,{}an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) 
 NIL 
@@ -3476,7 +3476,7 @@ NIL
 ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r,{} p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,{}e1],{}...,{}[vn,{}en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var,{} expr,{} r,{} val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var,{} r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a,{} b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) 
 NIL 
 NIL 
-(-887 R -2238) 
+(-887 R -3256) 
 ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,{}...,{}vn],{} p)} returns \\spad{f(v1,{}...,{}vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v,{} p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p,{} [a1,{}...,{}an],{} f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p,{} [f1,{}...,{}fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p,{} f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) 
 NIL 
 NIL 
@@ -3500,7 +3500,7 @@ NIL
 ((|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,{}args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-893 UP -3438) 
+(-893 UP -2210) 
 ((|constructor| (NIL "This package \\undocumented")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,{}n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,{}q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,{}m,{}n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3523,7 +3523,7 @@ NIL
 (-898 S) 
 ((|constructor| (NIL "\\indented{1}{A PendantTree(\\spad{S})is either a leaf? and is an \\spad{S} or has} a left and a right both PendantTree(\\spad{S})\\spad{'s}")) (|ptree| (($ $ $) "\\spad{ptree(x,{}y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-899 |n| R) 
 ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} \\spad{Ch}. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of \\spad{x:}\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} \\spad{ch}.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$R ~= 2},{}} \\indented{3}{but how to check that for any given \\spad{R} ?),{}} \\indented{3}{the local function {\\em permanent2} is called;} \\item 3. else,{} the local function {\\em permanent3} is called \\indented{3}{(works for all commutative rings \\spad{R}).} \\end{items}"))) 
 NIL 
@@ -3539,7 +3539,7 @@ NIL
 (-902 S) 
 ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,{}...,{}n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|movedPoints| (((|Set| |#1|) $) "\\spad{movedPoints(p)} returns the set of points moved by the permutation \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) 
 ((-4409 . T)) 
-((-4012 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-847)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-847)))) 
+((-2713 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-847)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-847)))) 
 (-903 R E |VarSet| S) 
 ((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,{}p,{}v)} implements the bivariate case of \\spadfunFrom{solveLinearPolynomialEquationByRecursion}{PolynomialFactorizationByRecursionUnivariate}; its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,{}...,{}pn],{}p)} returns the list of polynomials \\spad{[q1,{}...,{}qn]} such that \\spad{sum qi/pi = p / prod \\spad{pi}},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) 
 NIL 
@@ -3560,7 +3560,7 @@ NIL
 ((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number. Error: if \\spad{p} is not prime. Note: this domain does not check that argument is a prime."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 ((|HasCategory| $ (QUOTE (-147))) (|HasCategory| $ (QUOTE (-145))) (|HasCategory| $ (QUOTE (-368)))) 
-(-908 R0 -3438 UP UPUP R) 
+(-908 R0 -2210 UP UPUP R) 
 ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3588,7 +3588,7 @@ NIL
 ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,{}...,{}nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube:   +-----+ +-- B   where: marks Side # :               / U   /|/              /     / |         F(ront)    <->    1      L -->  +-----+ R|         R(ight)    <->    2             |     |  +         U(p)       <->    3             |  F  | /          D(own)     <->    4             |     |/           L(eft)     <->    5             +-----+            B(ack)     <->    6                ^                |                DThe Cube's surface:                               The pieces on each side            +---+              (except the unmoveable center            |567|              piece) are clockwise numbered            |4U8|              from 1 to 8 starting with the            |321|              piece in the upper left        +---+---+---+          corner (see figure on the        |781|123|345|          left).  The moves of the cube        |6L2|8F4|2R6|          are represented as        |543|765|187|          permutations on these pieces.        +---+---+---+          Each of the pieces is            |123|              represented as a two digit            |8D4|              integer ij where i is the            |765|              # of the side ( 1 to 6 for            +---+              F to B (see table above ))            |567|              and j is the # of the piece.            |4B8|            |321|            +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(\\spad{li})} constructs the janko group acting on the 100 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{li}} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(\\spad{li})} constructs the mathieu group acting on the 24 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{li}} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(\\spad{li})} constructs the mathieu group acting on the 23 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{li}} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(\\spad{li})} constructs the mathieu group acting on the 22 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{li}} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(\\spad{li})} constructs the mathieu group acting on the 12 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed Error: if {\\em \\spad{li}} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(\\spad{li})} constructs the mathieu group acting on the 11 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. error,{} if {\\em \\spad{li}} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,{}...,{}ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,{}...,{}ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,{}...,{}nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em \\spad{ni}}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(\\spad{li})} constructs the alternating group acting on the integers in the list {\\em \\spad{li}},{} generators are in general the {\\em n-2}-cycle {\\em (\\spad{li}.3,{}...,{}\\spad{li}.n)} and the 3-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{li}.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2)} with {\\em n-2}-cycle {\\em (\\spad{li}.3,{}...,{}\\spad{li}.n)} and the 3-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{li}.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,{}...,{}n)} and the 3-cycle {\\em (1,{}2,{}3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,{}2)} with {\\em n-2}-cycle {\\em (3,{}...,{}n)} and the 3-cycle {\\em (1,{}2,{}3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(\\spad{li})} constructs the symmetric group acting on the integers in the list {\\em \\spad{li}},{} generators are the cycle given by {\\em \\spad{li}} and the 2-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,{}...,{}n)} and the 2-cycle {\\em (1,{}2)}."))) 
 NIL 
 NIL 
-(-915 -3438) 
+(-915 -2210) 
 ((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} \\indented{2}{This package is an interface package to the groebner basis} package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,{}lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,{}lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}."))) 
 NIL 
 NIL 
@@ -3604,11 +3604,11 @@ NIL
 ((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for \\indented{2}{positive integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,{}b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}."))) 
 (((-4414 "*") . T)) 
 NIL 
-(-919 -3438 P) 
+(-919 -2210 P) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,{}l2)} \\undocumented"))) 
 NIL 
 NIL 
-(-920 |xx| -3438) 
+(-920 |xx| -2210) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,{}lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,{}lf,{}lg)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3632,7 +3632,7 @@ NIL
 ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) 
 NIL 
 NIL 
-(-926 R -3438) 
+(-926 R -2210) 
 ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
@@ -3644,7 +3644,7 @@ NIL
 ((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note: this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B)."))) 
 NIL 
 NIL 
-(-929 S R -3438) 
+(-929 S R -2210) 
 ((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr,{} pat,{} res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
@@ -3664,11 +3664,11 @@ NIL
 ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -883) (|devaluate| |#1|)))) 
-(-934 R -3438 -2238) 
+(-934 R -2210 -3256) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
-(-935 -2238) 
+(-935 -3256) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}."))) 
 NIL 
 NIL 
@@ -3691,7 +3691,7 @@ NIL
 (-940 R) 
 ((|constructor| (NIL "This domain implements points in coordinate space"))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-941 |lv| R) 
 ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) 
 NIL 
@@ -3716,7 +3716,7 @@ NIL
 ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,{}v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,{}v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,{}v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,{}q,{}v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),{}...,{}X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p,{} lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,{}[v1..vn],{}[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,{}x,{}n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,{}b,{}v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p,{} lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,{}v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,{}v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),{}...,{}a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p,{} lv,{} ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,{}v,{}n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,{}lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,{}v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
 NIL 
-(-947 E V R P -3438) 
+(-947 E V R P -2210) 
 ((|constructor| (NIL "This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f,{} v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f,{} x,{} p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f,{} v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) 
 NIL 
 NIL 
@@ -3727,8 +3727,8 @@ NIL
 (-949 R) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,{}x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-906))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
-(-950 E V R P -3438) 
+((|HasCategory| |#1| (QUOTE (-906))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-379))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -883) (QUOTE (-564))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4410)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-906)))) (|HasCategory| |#1| (QUOTE (-145))))) 
+(-950 E V R P -2210) 
 ((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,{}n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f,{} n)} returns \\spad{[m,{}c,{}r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
 ((|HasCategory| |#3| (QUOTE (-452)))) 
@@ -3751,12 +3751,12 @@ NIL
 (-955 S) 
 ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed"))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-956) 
 ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f,{} x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f,{} x)} returns the formal integral of \\spad{f} \\spad{dx}."))) 
 NIL 
 NIL 
-(-957 -3438) 
+(-957 -2210) 
 ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,{}...,{}pn],{} [a1,{}...,{}an],{} a)} returns \\spad{[[c1,{}...,{}cn],{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,{}...,{}pn],{} [a1,{}...,{}an])} returns \\spad{[[c1,{}...,{}cn],{} [q1,{}...,{}qn],{} q]} such that then \\spad{k(a1,{}...,{}an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1,{} a1,{} p2,{} a2)} returns \\spad{[c1,{} c2,{} q]} such that \\spad{k(a1,{} a2) = k(a)} where \\spad{a = c1 a1 + c2 a2,{} and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}."))) 
 NIL 
 NIL 
@@ -3771,11 +3771,11 @@ NIL
 (-960 R E) 
 ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-131)))) (|HasAttribute| |#1| (QUOTE -4410))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-131)))) (|HasAttribute| |#1| (QUOTE -4410))) 
 (-961 A B) 
 ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} \\undocumented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} \\undocumented")) (|makeprod| (($ |#1| |#2|) "\\spad{makeprod(a,{}b)} \\undocumented"))) 
 ((-4409 -12 (|has| |#2| (-473)) (|has| |#1| (-473)))) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790)))) (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-847))))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723))))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-368)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-847))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790)))) (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-847))))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723))))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-368)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723)))) (-12 (|HasCategory| |#1| (QUOTE (-790))) (|HasCategory| |#2| (QUOTE (-790))))) (-12 (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#2| (QUOTE (-723)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-847))))) 
 (-962) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Symbol|) (|SExpression|)) "\\spad{property(n,{}val)} constructs a property with name \\spad{`n'} and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Symbol|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) 
 NIL 
@@ -3856,7 +3856,7 @@ NIL
 ((|constructor| (NIL "This package \\undocumented{}")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,{}p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,{}lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,{}v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,{}lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,{}v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-982 K R UP -3438) 
+(-982 K R UP -2210) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,{}y]/(f(x,{}y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,{}y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If 'basis' is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if 'basisInv' is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If 'basis' is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if 'basisInv' is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) 
 NIL 
 NIL 
@@ -3915,11 +3915,11 @@ NIL
 (-996 R) 
 ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a \\indented{2}{commutative ring. The main constructor function is \\spadfun{quatern}} \\indented{2}{which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j}} \\indented{2}{imaginary part and the \\spad{k} imaginary part.}"))) 
 ((-4405 |has| |#1| (-290)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-363))) (-4012 (|HasCategory| |#1| (QUOTE (-290))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-290))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-1055))) (|HasCategory| |#1| (QUOTE (-545)))) 
+((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (|HasCategory| |#1| (QUOTE (-290))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-290))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-1055))) (|HasCategory| |#1| (QUOTE (-545)))) 
 (-997 S) 
 ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|List| |#1|)) "\\spad{queue([x,{}y,{}...,{}z])} creates a queue with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-998 S) 
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,{}n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
@@ -3928,14 +3928,14 @@ NIL
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,{}n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
 NIL 
-(-1000 -3438 UP UPUP |radicnd| |n|) 
+(-1000 -2210 UP UPUP |radicnd| |n|) 
 ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) 
 ((-4405 |has| (-407 |#2|) (-363)) (-4410 |has| (-407 |#2|) (-363)) (-4404 |has| (-407 |#2|) (-363)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-4012 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-4012 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-4012 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-4012 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) 
+((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2713 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2713 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2713 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2713 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) 
 (-1001 |bb|) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,{}cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],{}[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,{}3,{}4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,{}1,{}4,{}2,{}8,{}5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,{}0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-4012 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-4012 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
+((|HasCategory| (-564) (QUOTE (-906))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1019))) (|HasCategory| (-564) (QUOTE (-817))) (-2713 (|HasCategory| (-564) (QUOTE (-817))) (|HasCategory| (-564) (QUOTE (-847)))) (|HasCategory| (-564) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -889) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-906)))) (|HasCategory| (-564) (QUOTE (-145))))) 
 (-1002) 
 ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,{}b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) 
 NIL 
@@ -3968,19 +3968,19 @@ NIL
 ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) 
 ((-4405 . T) (-4410 . T) (-4404 . T) (-4407 . T) (-4406 . T) ((-4414 "*") . T) (-4409 . T)) 
 NIL 
-(-1010 R -3438) 
+(-1010 R -2210) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 1 February 1988 Date Last Updated: 2 November 1995 Keywords: elementary,{} function,{} integration.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n,{} f,{} g,{} x,{} lim,{} ext)} returns \\spad{[y,{} h,{} b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function."))) 
 NIL 
 NIL 
-(-1011 R -3438) 
+(-1011 R -2210) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 12 August 1992 Date Last Updated: 17 August 1992 Keywords: elementary,{} function,{} integration.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n,{} f,{} g_1,{} g_2,{} x,{}lim,{}ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,{}dy2/dx) + ((0,{} - n df/dx),{}(n df/dx,{}0)) (y1,{}y2) = (g1,{}g2)} if \\spad{y_1,{}y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function."))) 
 NIL 
 NIL 
-(-1012 -3438 UP) 
+(-1012 -2210 UP) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} transcendental case.} Author: Manuel Bronstein Date Created: Jan 1988 Date Last Updated: 2 November 1995")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a,{} B,{} C,{} n,{} D)} returns either: 1. \\spad{[Q,{} b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1,{} C1,{} m,{} \\alpha,{} \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f,{} g)} returns a \\spad{[y,{} b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,{}g,{}D)} returns \\spad{[A,{} B,{} C,{} T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-1013 -3438 UP) 
+(-1013 -2210 UP) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation system,{} transcendental case.} Author: Manuel Bronstein Date Created: 17 August 1992 Date Last Updated: 3 February 1994")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f,{} g1,{} g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1',{} y2') + ((0,{} -f),{} (f,{} 0)) (y1,{}y2) = (g1,{}g2)} if \\spad{y_1,{}y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,{}g1,{}g2,{}D)} returns \\spad{[A,{} B,{} H,{} C1,{} C2,{} T]} such that \\spad{(y1',{} y2') + ((0,{} -f),{} (f,{} 0)) (y1,{}y2) = (g1,{}g2)} has a solution if and only if \\spad{y1 = Q1 / T,{} y2 = Q2 / T},{} where \\spad{B,{}C1,{}C2,{}Q1,{}Q2} have no normal poles and satisfy A \\spad{(Q1',{} Q2') + ((H,{} -B),{} (B,{} H)) (Q1,{}Q2) = (C1,{}C2)} \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
@@ -4015,8 +4015,8 @@ NIL
 (-1021 |TheField|) 
 ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) 
 ((-4405 . T) (-4410 . T) (-4404 . T) (-4407 . T) (-4406 . T) ((-4414 "*") . T) (-4409 . T)) 
-((-4012 (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (QUOTE (-564))))) 
-(-1022 -3438 L) 
+((-2713 (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1035) (QUOTE (-564))))) 
+(-1022 -2210 L) 
 ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op,{} [f1,{}...,{}fk])} returns \\spad{[op1,{}[g1,{}...,{}gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{\\spad{fi}} must satisfy \\spad{op \\spad{fi} = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op,{} s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) 
 NIL 
 NIL 
@@ -4052,14 +4052,14 @@ NIL
 ((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used."))) 
 NIL 
 NIL 
-(-1031 -3438 |Expon| |VarSet| |FPol| |LFPol|) 
+(-1031 -2210 |Expon| |VarSet| |FPol| |LFPol|) 
 ((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring"))) 
 (((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
 (-1032) 
 ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (QUOTE (-1170))) (LIST (QUOTE |:|) (QUOTE -2575) (QUOTE (-52))))))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-1170) (QUOTE (-847))) (|HasCategory| (-52) (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (QUOTE (-1170))) (LIST (QUOTE |:|) (QUOTE -3096) (QUOTE (-52))))))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-1170) (QUOTE (-847))) (|HasCategory| (-52) (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1033) 
 ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) 
 NIL 
@@ -4116,7 +4116,7 @@ NIL
 ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) 
 ((-4409 . T)) 
 NIL 
-(-1047 |xx| -3438) 
+(-1047 |xx| -2210) 
 ((|constructor| (NIL "This package exports rational interpolation algorithms"))) 
 NIL 
 NIL 
@@ -4131,7 +4131,7 @@ NIL
 (-1050 |m| |n| R) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) 
 ((-4412 . T) (-4407 . T) (-4406 . T)) 
-((-4012 (-12 (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-363))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (QUOTE (-363)))) (|HasCategory| |#3| (QUOTE (-363))) (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (QUOTE (-307))) (|HasCategory| |#3| (QUOTE (-556))) (|HasCategory| |#3| (QUOTE (-172))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-2713 (-12 (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-363))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#3| (QUOTE (-172))) (|HasCategory| |#3| (QUOTE (-363)))) (|HasCategory| |#3| (QUOTE (-363))) (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (QUOTE (-307))) (|HasCategory| |#3| (QUOTE (-556))) (|HasCategory| |#3| (QUOTE (-172))) (-12 (|HasCategory| |#3| (QUOTE (-1094))) (|HasCategory| |#3| (LIST (QUOTE -309) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1051 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,{}m,{}r)} returns a matrix \\spad{n} where \\spad{n[i,{}j] = f(m[i,{}j],{}r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,{}m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) 
 NIL 
@@ -4163,7 +4163,7 @@ NIL
 (-1058) 
 ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,{}routineName,{}ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,{}s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,{}s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,{}s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,{}s,{}newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,{}s,{}newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,{}y)} merges two tables \\spad{x} and \\spad{y}"))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (QUOTE (-1170))) (LIST (QUOTE |:|) (QUOTE -2575) (QUOTE (-52))))))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (QUOTE (-1094))) (|HasCategory| (-1170) (QUOTE (-847))) (|HasCategory| (-52) (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (QUOTE (-1170))) (LIST (QUOTE |:|) (QUOTE -3096) (QUOTE (-52))))))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-52) (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| (-52) (QUOTE (-1094))) (|HasCategory| (-52) (LIST (QUOTE -309) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (QUOTE (-1094))) (|HasCategory| (-1170) (QUOTE (-847))) (|HasCategory| (-52) (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-52) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1059 S R E V) 
 ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) 
 NIL 
@@ -4208,11 +4208,11 @@ NIL
 ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-1070 |Base| R -3438) 
+(-1070 |Base| R -2210) 
 ((|constructor| (NIL "\\indented{1}{Rules for the pattern matcher} Author: Manuel Bronstein Date Created: 24 Oct 1988 Date Last Updated: 26 October 1993 Keywords: pattern,{} matching,{} rule.")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,{}f,{}n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r,{} [a1,{}...,{}an],{} f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,{}...,{}an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f,{} g,{} [f1,{}...,{}fn])} creates the rewrite rule \\spad{f == eval(eval(g,{} g is f),{} [f1,{}...,{}fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f,{} g)} creates the rewrite rule: \\spad{f == eval(g,{} g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}."))) 
 NIL 
 NIL 
-(-1071 |Base| R -3438) 
+(-1071 |Base| R -2210) 
 ((|constructor| (NIL "A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,{}f,{}n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,{}...,{}rn])} creates the rule set \\spad{{r1,{}...,{}rn}}."))) 
 NIL 
 NIL 
@@ -4227,7 +4227,7 @@ NIL
 (-1074 R UP M) 
 ((|constructor| (NIL "Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) 
 ((-4405 |has| |#1| (-363)) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-349)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363))))) 
+((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-349)))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363))))) 
 (-1075 UP SAE UPA) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) 
 NIL 
@@ -4255,7 +4255,7 @@ NIL
 (-1081 R) 
 ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4407 . T) (-4406 . T) (-4409 . T)) 
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 (-1082 S) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) 
 NIL 
@@ -4315,7 +4315,7 @@ NIL
 (-1096 S) 
 ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,{}b,{}c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of \\indented{2}{\\spad{s = t} is \\spad{O(min(n,{}m))}} \\indented{2}{\\spad{s < t} is \\spad{O(max(n,{}m))}} \\indented{2}{\\spad{union(s,{}t)},{} \\spad{intersect(s,{}t)},{} \\spad{minus(s,{}t)},{} \\spad{symmetricDifference(s,{}t)} is \\spad{O(max(n,{}m))}} \\indented{2}{\\spad{member(x,{}t)} is \\spad{O(n log n)}} \\indented{2}{\\spad{insert(x,{}t)} and \\spad{remove(x,{}t)} is \\spad{O(n)}}"))) 
 ((-4412 . T) (-4402 . T) (-4413 . T)) 
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 (-1097 |Str| |Sym| |Int| |Flt| |Expr|) 
 ((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|elt| (($ $ (|List| (|Integer|))) "\\spad{elt((a1,{}...,{}an),{} [i1,{}...,{}im])} returns \\spad{(a_i1,{}...,{}a_im)}.") (($ $ (|Integer|)) "\\spad{elt((a1,{}...,{}an),{} i)} returns \\spad{\\spad{ai}}.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,{}...,{}an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,{}...,{}an))} returns \\spad{(a2,{}...,{}an)}.")) (|car| (($ $) "\\spad{car((a1,{}...,{}an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,{}...,{}an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) (|eq| (((|Boolean|) $ $) "\\spad{eq(s,{} t)} is \\spad{true} if EQ(\\spad{s},{}\\spad{t}) is \\spad{true} in Lisp."))) 
 NIL 
@@ -4359,7 +4359,7 @@ NIL
 (-1107 |dimtot| |dim1| S) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The dim1 parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
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 (-1108 R |x|) 
 ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,{}p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,{}p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,{}p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,{}p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,{}p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) 
 NIL 
@@ -4368,7 +4368,7 @@ NIL
 ((|constructor| (NIL "This domain represents a signature AST. A signature AST \\indented{2}{is a description of an exported operation,{} \\spadignore{e.g.} its name,{} result} \\indented{2}{type,{} and the list of its argument types.}")) (|signature| (((|Signature|) $) "\\spad{signature(s)} returns AST of the declared signature for \\spad{`s'}.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature \\spad{`s'}.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,{}s,{}t)} builds the signature AST \\spad{n:} \\spad{s} \\spad{->} \\spad{t}"))) 
 NIL 
 NIL 
-(-1110 R -3438) 
+(-1110 R -2210) 
 ((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f,{} x,{} a,{} s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f,{} x,{} a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere."))) 
 NIL 
 NIL 
@@ -4407,16 +4407,16 @@ NIL
 (-1119 R |VarSet|) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) 
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 (-1120 |Coef| |Var| SMP) 
 ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,{}v,{}c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,{}v,{}c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,{}b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s,{} n)} gives the terms of total degree \\spad{n}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363)))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363)))) 
 (-1121 R E V P) 
 ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991}"))) 
 ((-4413 . T) (-4412 . T)) 
 NIL 
-(-1122 UP -3438) 
+(-1122 UP -2210) 
 ((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,{}g,{}h,{}i,{}k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,{}g,{}h,{}j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,{}g,{}h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,{}g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,{}g,{}h,{}i,{}j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,{}g,{}h,{}i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,{}g,{}h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,{}g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,{}f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented"))) 
 NIL 
 NIL 
@@ -4471,11 +4471,11 @@ NIL
 (-1135 V C) 
 ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{ls}]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}\\spad{lt})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{ls})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -309) (LIST (QUOTE -1134) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094))) (-4012 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -309) (LIST (QUOTE -1134) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094))))) (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -309) (LIST (QUOTE -1134) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094))) (-2713 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -309) (LIST (QUOTE -1134) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1134 |#1| |#2|) (QUOTE (-1094))))) (|HasCategory| (-1134 |#1| |#2|) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1136 |ndim| R) 
 ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.")) (|new| (($ |#2|) "\\spad{new(c)} constructs a new \\spadtype{SquareMatrix} object of dimension \\spad{ndim} with initial entries equal to \\spad{c}."))) 
 ((-4409 . T) (-4401 |has| |#2| (-6 (-4414 "*"))) (-4412 . T) (-4406 . T) (-4407 . T)) 
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+((|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233))) (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564)))) (-2713 (-12 (|HasCategory| |#2| (QUOTE (-233))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-363))) (-2713 (|HasAttribute| |#2| (QUOTE (-4414 "*"))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasCategory| |#2| (QUOTE (-233)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-172)))) 
 (-1137 S) 
 ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,{}t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,{}cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,{}c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,{}cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,{}c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,{}cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,{}c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,{}cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,{}c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,{}t,{}i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,{}t,{}i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,{}i..j,{}t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,{}t,{}c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,{}s,{}wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,{}t,{}i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,{}t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,{}t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
 NIL 
@@ -4495,7 +4495,7 @@ NIL
 (-1141 S) 
 ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|List| |#1|)) "\\spad{stack([x,{}y,{}...,{}z])} creates a stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1142 A S) 
 ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note: for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) 
 NIL 
@@ -4507,7 +4507,7 @@ NIL
 (-1144 |Key| |Ent| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
 ((-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|)))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-847))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094)))) 
+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-847))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094)))) 
 (-1145) 
 ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For infinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline Conditional attributes: \\indented{2}{infinite\\tab{15}repeated \\spad{nextItem}\\spad{'s} are never \"failed\".}")) (|nextItem| (((|Union| $ "failed") $) "\\spad{nextItem(x)} returns the next item,{} or \"failed\" if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) 
 NIL 
@@ -4531,7 +4531,7 @@ NIL
 (-1150 S) 
 ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,{}s)} returns \\spad{[x0,{}x1,{}...,{}x(n)]} where \\spad{s = [x0,{}x1,{}x2,{}..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = true}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,{}s)} returns \\spad{[x0,{}x1,{}...,{}x(n-1)]} where \\spad{s = [x0,{}x1,{}x2,{}..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = false}.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,{}x)} creates an infinite stream whose first element is \\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous element. Note: \\spad{generate(f,{}x) = [x,{}f(x),{}f(f(x)),{}...]}.") (($ (|Mapping| |#1|)) "\\spad{generate(f)} creates an infinite stream all of whose elements are equal to \\spad{f()}. Note: \\spad{generate(f) = [f(),{}f(),{}f(),{}...]}.")) (|setrest!| (($ $ (|Integer|) $) "\\spad{setrest!(x,{}n,{}y)} sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand cycles if necessary.")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\spad{showAllElements(s)} creates an output form which displays all computed elements.")) (|output| (((|Void|) (|Integer|) $) "\\spad{output(n,{}st)} computes and displays the first \\spad{n} entries of \\spad{st}.")) (|cons| (($ |#1| $) "\\spad{cons(a,{}s)} returns a stream whose \\spad{first} is \\spad{a} and whose \\spad{rest} is \\spad{s}. Note: \\spad{cons(a,{}s) = concat(a,{}s)}.")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\spad{findCycle(n,{}st)} determines if \\spad{st} is periodic within \\spad{n}.")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\spad{repeating?(l,{}s)} returns \\spad{true} if a stream \\spad{s} is periodic with period \\spad{l},{} and \\spad{false} otherwise.")) (|repeating| (($ (|List| |#1|)) "\\spad{repeating(l)} is a repeating stream whose period is the list \\spad{l}.")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) 
 ((-4413 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1151) 
 ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) 
 ((-4413 . T) (-4412 . T)) 
@@ -4539,11 +4539,11 @@ NIL
 (-1152) 
 NIL 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
+((-2713 (-12 (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144))))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) (|HasCategory| (-144) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-144) (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| (-144) (QUOTE (-1094))) (|HasCategory| (-144) (LIST (QUOTE -309) (QUOTE (-144)))))) 
 (-1153 |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#1|)))))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (QUOTE (-1094))) (|HasCategory| (-1152) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (QUOTE (-1152))) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#1|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (QUOTE (-1094))) (|HasCategory| (-1152) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1154 A) 
 ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,{}f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,{}r,{}g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0/b0,{}a1/b1,{}..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,{}f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,{}0>,{}b<0,{}1>,{}...],{}[b<1,{}0>,{}b<1,{}1>,{}.],{}...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,{}j=0 to infinity,{}b<i,{}j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,{}f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,{}a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,{}[a0,{}a1,{}a2,{}...]) = [a,{}a0,{}a1/2,{}a2/3,{}...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,{}b,{}st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,{}b,{}st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),{}n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),{}n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),{}n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,{}0>,{}a<0,{}1>,{}..],{}[a<1,{}0>,{}a<1,{}1>,{}..],{}[a<2,{}0>,{}a<2,{}1>,{}..],{}..]} and \\spad{addiag(x) = [b<0,{}b<1>,{}...],{} then b<k> = sum(i+j=k,{}a<i,{}j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient 1.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,{}b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,{}r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,{}[a0,{}a1,{}a2,{}..])} returns \\spad{[f(0)*a0,{}f(1)*a1,{}f(2)*a2,{}..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,{}a1,{}a2,{}...])} returns \\spad{[a1,{}2 a2,{}3 a3,{}...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0*b0,{}a1*b1,{}..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,{}n+2,{}n+4,{}...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,{}n+1,{}n+2,{}...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,{}coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,{}b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,{}a1,{}...] * r = [a0 * r,{}a1 * r,{}...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,{}a1,{}...] = [r * a0,{}r * a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,{}a1,{}...] * [b0,{}b1,{}...] = [c0,{}c1,{}...]} where \\spad{ck = sum(i + j = k,{}\\spad{ai} * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,{}a1,{}...] = [- a0,{}- a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] - [b0,{}b1,{}..] = [a0 - b0,{}a1 - b1,{}..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] + [b0,{}b1,{}..] = [a0 + b0,{}a1 + b1,{}..]}"))) 
 NIL 
@@ -4574,9 +4574,9 @@ NIL
 NIL 
 (-1161 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
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+(-1162 R -2210) 
 ((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 
 NIL 
 NIL 
@@ -4595,15 +4595,15 @@ NIL
 (-1166 R) 
 ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,{}var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable."))) 
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 (-1167 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
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+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2052) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1168 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|)))) (|HasCategory| (-768) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasSignature| |#1| (LIST (QUOTE -3714) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasCategory| |#1| (QUOTE (-363))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4039) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4292) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|)))) (|HasCategory| (-768) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2052) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1169) 
 ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) 
 NIL 
@@ -4619,7 +4619,7 @@ NIL
 (-1172 R) 
 ((|constructor| (NIL "This domain implements symmetric polynomial"))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-6 -4410)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| (-968) (QUOTE (-131))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasAttribute| |#1| (QUOTE -4410))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-2713 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| (-968) (QUOTE (-131))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasAttribute| |#1| (QUOTE -4410))) 
 (-1173) 
 ((|constructor| (NIL "Creates and manipulates one global symbol table for FORTRAN code generation,{} containing details of types,{} dimensions,{} and argument lists.")) (|symbolTableOf| (((|SymbolTable|) (|Symbol|) $) "\\spad{symbolTableOf(f,{}tab)} returns the symbol table of \\spad{f}")) (|argumentListOf| (((|List| (|Symbol|)) (|Symbol|) $) "\\spad{argumentListOf(f,{}tab)} returns the argument list of \\spad{f}")) (|returnTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|Symbol|) $) "\\spad{returnTypeOf(f,{}tab)} returns the type of the object returned by \\spad{f}")) (|empty| (($) "\\spad{empty()} creates a new,{} empty symbol table.")) (|printTypes| (((|Void|) (|Symbol|)) "\\spad{printTypes(tab)} produces FORTRAN type declarations from \\spad{tab},{} on the current FORTRAN output stream")) (|printHeader| (((|Void|)) "\\spad{printHeader()} produces the FORTRAN header for the current subprogram in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|)) "\\spad{printHeader(f)} produces the FORTRAN header for subprogram \\spad{f} in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|) $) "\\spad{printHeader(f,{}tab)} produces the FORTRAN header for subprogram \\spad{f} in symbol table \\spad{tab} on the current FORTRAN output stream.")) (|returnType!| (((|Void|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(t)} declares that the return type of he current subprogram in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(f,{}t)} declares that the return type of subprogram \\spad{f} in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{returnType!(f,{}t,{}tab)} declares that the return type of subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{t}.")) (|argumentList!| (((|Void|) (|List| (|Symbol|))) "\\spad{argumentList!(l)} declares that the argument list for the current subprogram in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|))) "\\spad{argumentList!(f,{}l)} declares that the argument list for subprogram \\spad{f} in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|)) $) "\\spad{argumentList!(f,{}l,{}tab)} declares that the argument list for subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{l}.")) (|endSubProgram| (((|Symbol|)) "\\spad{endSubProgram()} asserts that we are no longer processing the current subprogram.")) (|currentSubProgram| (((|Symbol|)) "\\spad{currentSubProgram()} returns the name of the current subprogram being processed")) (|newSubProgram| (((|Void|) (|Symbol|)) "\\spad{newSubProgram(f)} asserts that from now on type declarations are part of subprogram \\spad{f}.")) (|declare!| (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|)) "\\spad{declare!(u,{}t,{}asp)} declares the parameter \\spad{u} to have type \\spad{t} in \\spad{asp}.") (((|FortranType|) (|Symbol|) (|FortranType|)) "\\spad{declare!(u,{}t)} declares the parameter \\spad{u} to have type \\spad{t} in the current level of the symbol table.") (((|FortranType|) (|List| (|Symbol|)) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,{}t,{}asp,{}tab)} declares the parameters \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.") (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,{}t,{}asp,{}tab)} declares the parameter \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.")) (|clearTheSymbolTable| (((|Void|) (|Symbol|)) "\\spad{clearTheSymbolTable(x)} removes the symbol \\spad{x} from the table") (((|Void|)) "\\spad{clearTheSymbolTable()} clears the current symbol table.")) (|showTheSymbolTable| (($) "\\spad{showTheSymbolTable()} returns the current symbol table."))) 
 NIL 
@@ -4659,7 +4659,7 @@ NIL
 (-1182 |Key| |Entry|) 
 ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) 
 ((-4412 . T) (-4413 . T)) 
-((-12 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -1350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2575) (|devaluate| |#2|)))))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-4012 (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2381) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3096) (|devaluate| |#2|)))))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#2| (QUOTE (-1094))) (-2713 (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-859)))) (|HasCategory| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1183 R) 
 ((|constructor| (NIL "Expands tangents of sums and scalar products.")) (|tanNa| ((|#1| |#1| (|Integer|)) "\\spad{tanNa(a,{} n)} returns \\spad{f(a)} such that if \\spad{a = tan(u)} then \\spad{f(a) = tan(n * u)}.")) (|tanAn| (((|SparseUnivariatePolynomial| |#1|) |#1| (|PositiveInteger|)) "\\spad{tanAn(a,{} n)} returns \\spad{P(x)} such that if \\spad{a = tan(u)} then \\spad{P(tan(u/n)) = 0}.")) (|tanSum| ((|#1| (|List| |#1|)) "\\spad{tanSum([a1,{}...,{}an])} returns \\spad{f(a1,{}...,{}an)} such that if \\spad{\\spad{ai} = tan(\\spad{ui})} then \\spad{f(a1,{}...,{}an) = tan(u1 + ... + un)}."))) 
 NIL 
@@ -4711,7 +4711,7 @@ NIL
 (-1195 S) 
 ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a {\\it node} consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\spad{cyclicParents(t)} returns a list of cycles that are parents of \\spad{t}.")) (|cyclicEqual?| (((|Boolean|) $ $) "\\spad{cyclicEqual?(t1,{} t2)} tests of two cyclic trees have the same structure.")) (|cyclicEntries| (((|List| $) $) "\\spad{cyclicEntries(t)} returns a list of top-level cycles in tree \\spad{t}.")) (|cyclicCopy| (($ $) "\\spad{cyclicCopy(l)} makes a copy of a (possibly) cyclic tree \\spad{l}.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(t)} tests if \\spad{t} is a cyclic tree.")) (|tree| (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ (|List| |#1|)) "\\spad{tree(ls)} creates a tree from a list of elements of \\spad{s}.") (($ |#1| (|List| $)) "\\spad{tree(nd,{}ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) 
 ((-4413 . T) (-4412 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
 (-1196 S) 
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
@@ -4720,7 +4720,7 @@ NIL
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-1198 R -3438) 
+(-1198 R -2210) 
 ((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f,{} imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f,{} x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f,{} x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
@@ -4728,7 +4728,7 @@ NIL
 ((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,{}d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,{}d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}."))) 
 NIL 
 NIL 
-(-1200 R -3438) 
+(-1200 R -2210) 
 ((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}"))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -889) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -883) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -889) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -883) (|devaluate| |#1|))))) 
@@ -4743,7 +4743,7 @@ NIL
 (-1203 |Coef|) 
 ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,{}v,{}c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,{}v,{}c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s,{} n)} gives the terms of total degree \\spad{n}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4407 . T) (-4406 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363)))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363)))) 
 (-1204 |Curve|) 
 ((|constructor| (NIL "\\indented{2}{Package for constructing tubes around 3-dimensional parametric curves.} Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,{}ll,{}b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,{}b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}."))) 
 NIL 
@@ -4756,7 +4756,7 @@ NIL
 ((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter\\spad{'s} notion} of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(x)} returns the number of elements in tuple \\spad{x}")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\spad{select(x,{}n)} returns the \\spad{n}-th element of tuple \\spad{x}. tuples are 0-based"))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) 
-(-1207 -3438) 
+(-1207 -2210) 
 ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,{}n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) 
 NIL 
 NIL 
@@ -4819,11 +4819,11 @@ NIL
 (-1222 |Coef| UTS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -286) (|devaluate| |#2|) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-817)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-847)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1019)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1145)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170)))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-4012 (|HasCategory| |#1| (QUOTE (-145))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-145))))) (-4012 (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-147))))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-233)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (|HasCategory| (-564) (QUOTE (-1106))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-906)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -1035) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-1019)))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-817)))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-817)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (QUOTE (-847))))) (-4012 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#2| (LIST (QUOTE -612) 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(|devaluate| |#3|)) (LIST (QUOTE -1251) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -309) (LIST (QUOTE -1251) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -514) (QUOTE (-1170)) (LIST (QUOTE -1251) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -883) (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -883) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| 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(QUOTE -1035) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2713 (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-817))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-906))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-172)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-906))) (|HasCategory| |#1| (QUOTE (-363)))) (-2713 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-906))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1251 |#1| |#2| |#3|) (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-1224 ZP) 
 ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) 
 NIL 
@@ -4859,7 +4859,7 @@ NIL
 (-1232 |x| R) 
 ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) 
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 (-1233 R PR S PS) 
 ((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{} p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) 
 NIL 
@@ -4875,7 +4875,7 @@ NIL
 (-1236 S |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1106))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3714) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) 
+((|HasCategory| |#2| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1106))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -1721) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) 
 (-1237 |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#1| $ |#2|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
@@ -4903,15 +4903,15 @@ NIL
 (-1243 |Coef| ULS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -3714) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4039) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4292) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) 
+((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2052) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) 
 (-1244 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4410 |has| |#1| (-363)) (-4404 |has| |#1| (-363)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-4012 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -3714) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4039) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4292) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2713 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2052) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1245 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) 
 (((-4414 "*") |has| (-1244 |#2| |#3| |#4|) (-172)) (-4405 |has| (-1244 |#2| |#3| |#4|) (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-145))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-172))) (-4012 (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-363))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-452))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-556)))) 
+((|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-145))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-172))) (-2713 (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-1244 |#2| |#3| |#4|) (LIST (QUOTE -1035) (QUOTE (-564)))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-363))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-452))) (|HasCategory| (-1244 |#2| |#3| |#4|) (QUOTE (-556)))) 
 (-1246 A S) 
 ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,{}n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,{}x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,{}v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,{}\"last\",{}x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,{}\"rest\",{}v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,{}\"first\",{}x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,{}x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,{}v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast_!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,{}n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,{}n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,{}\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,{}\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,{}\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,{}n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,{}u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
 NIL 
@@ -4927,7 +4927,7 @@ NIL
 (-1249 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-956))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -4292) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4039) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) 
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-956))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2052) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) 
 (-1250 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
@@ -4935,12 +4935,12 @@ NIL
 (-1251 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
 (((-4414 "*") |has| |#1| (-172)) (-4405 |has| |#1| (-556)) (-4406 . T) (-4407 . T) (-4409 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-4012 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|)))) (|HasCategory| (-768) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasSignature| |#1| (LIST (QUOTE -3714) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasCategory| |#1| (QUOTE (-363))) (-4012 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4039) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4292) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2713 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -897) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-768)) (|devaluate| |#1|)))) (|HasCategory| (-768) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasSignature| |#1| (LIST (QUOTE -1721) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-768))))) (|HasCategory| |#1| (QUOTE (-363))) (-2713 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-956))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2052) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -4153) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1252 |Coef| UTS) 
 ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) 
 NIL 
 NIL 
-(-1253 -3438 UP L UTS) 
+(-1253 -2210 UP L UTS) 
 ((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series \\indented{1}{ODE solver when presented with linear ODEs.}")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s,{} n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-556)))) 
@@ -4967,7 +4967,7 @@ NIL
 (-1259 R) 
 ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) 
 ((-4413 . T) (-4412 . T)) 
-((-4012 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-4012 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-4012 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
+((-2713 (-12 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2713 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2713 (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-847))) (|HasCategory| (-564) (QUOTE (-847))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-723))) (|HasCategory| |#1| (QUOTE (-1046))) (-12 (|HasCategory| |#1| (QUOTE (-999))) (|HasCategory| |#1| (QUOTE (-1046)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-859)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) 
 (-1260) 
 ((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,{}s,{}lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,{}s,{}f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,{}s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,{}w,{}h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,{}gr,{}n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,{}x,{}y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,{}n,{}s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,{}n,{}dx,{}dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,{}n,{}sx,{}sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,{}x,{}y,{}width,{}height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,{}s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,{}n,{}s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,{}n,{}s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,{}n,{}s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,{}n,{}c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,{}n,{}s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,{}n,{}c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,{}n,{}s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,{}n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,{}\\spad{gi},{}n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{\\spad{gi}} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{\\spad{gi}} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,{}s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,{}num,{}sX,{}sY,{}dX,{}dY,{}pts,{}lns,{}box,{}axes,{}axesC,{}un,{}unC,{}cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,{}lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(\\spad{gi},{}lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{\\spad{gi}},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc."))) 
 NIL 
@@ -5000,7 +5000,7 @@ NIL
 ((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]*v**2 + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,{}s,{}st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,{}ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,{}s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally."))) 
 NIL 
 NIL 
-(-1268 K R UP -3438) 
+(-1268 K R UP -2210) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,{}basisDen,{}basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn}. If \\spad{basis} is the matrix \\spad{(aij,{} i = 1..n,{} j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{\\spad{vi} = (1/basisDen) * sum(aij * wj,{} j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{\\spad{wi}} with respect to the basis \\spad{v1,{}...,{}vn}: if \\spad{basisInv} is the matrix \\spad{(bij,{} i = 1..n,{} j = 1..n)},{} then \\spad{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) 
 NIL 
 NIL 
@@ -5036,11 +5036,11 @@ NIL
 ((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,{}x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,{}n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,{}y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,{}r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,{}y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,{}w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,{}v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,{}y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,{}w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,{}v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,{}y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,{}w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
 ((-4405 |has| |#2| (-6 -4405)) (-4407 . T) (-4406 . T) (-4409 . T)) 
 NIL 
-(-1277 S -3438) 
+(-1277 S -2210) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,{}s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147)))) 
-(-1278 -3438) 
+(-1278 -2210) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,{}s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
 ((-4404 . T) (-4410 . T) (-4405 . T) ((-4414 "*") . T) (-4406 . T) (-4407 . T) (-4409 . T)) 
 NIL 
@@ -5096,4 +5096,4 @@ NIL
 NIL 
 NIL 
 NIL 
-((-3 NIL 2283947 2283952 2283957 2283962) (-2 NIL 2283927 2283932 2283937 2283942) (-1 NIL 2283907 2283912 2283917 2283922) (0 NIL 2283887 2283892 2283897 2283902) (-1287 "ZMOD.spad" 2283696 2283709 2283825 2283882) (-1286 "ZLINDEP.spad" 2282740 2282751 2283686 2283691) (-1285 "ZDSOLVE.spad" 2272589 2272611 2282730 2282735) (-1284 "YSTREAM.spad" 2272082 2272093 2272579 2272584) (-1283 "XRPOLY.spad" 2271302 2271322 2271938 2272007) (-1282 "XPR.spad" 2269093 2269106 2271020 2271119) (-1281 "XPOLY.spad" 2268648 2268659 2268949 2269018) (-1280 "XPOLYC.spad" 2267965 2267981 2268574 2268643) (-1279 "XPBWPOLY.spad" 2266402 2266422 2267745 2267814) (-1278 "XF.spad" 2264863 2264878 2266304 2266397) (-1277 "XF.spad" 2263304 2263321 2264747 2264752) (-1276 "XFALG.spad" 2260328 2260344 2263230 2263299) (-1275 "XEXPPKG.spad" 2259579 2259605 2260318 2260323) (-1274 "XDPOLY.spad" 2259193 2259209 2259435 2259504) (-1273 "XALG.spad" 2258853 2258864 2259149 2259188) (-1272 "WUTSET.spad" 2254692 2254709 2258499 2258526) (-1271 "WP.spad" 2253891 2253935 2254550 2254617) (-1270 "WHILEAST.spad" 2253689 2253698 2253881 2253886) (-1269 "WHEREAST.spad" 2253360 2253369 2253679 2253684) (-1268 "WFFINTBS.spad" 2250923 2250945 2253350 2253355) (-1267 "WEIER.spad" 2249137 2249148 2250913 2250918) (-1266 "VSPACE.spad" 2248810 2248821 2249105 2249132) (-1265 "VSPACE.spad" 2248503 2248516 2248800 2248805) (-1264 "VOID.spad" 2248180 2248189 2248493 2248498) (-1263 "VIEW.spad" 2245802 2245811 2248170 2248175) (-1262 "VIEWDEF.spad" 2240999 2241008 2245792 2245797) (-1261 "VIEW3D.spad" 2224834 2224843 2240989 2240994) (-1260 "VIEW2D.spad" 2212571 2212580 2224824 2224829) (-1259 "VECTOR.spad" 2211246 2211257 2211497 2211524) (-1258 "VECTOR2.spad" 2209873 2209886 2211236 2211241) (-1257 "VECTCAT.spad" 2207773 2207784 2209841 2209868) (-1256 "VECTCAT.spad" 2205481 2205494 2207551 2207556) (-1255 "VARIABLE.spad" 2205261 2205276 2205471 2205476) (-1254 "UTYPE.spad" 2204905 2204914 2205251 2205256) (-1253 "UTSODETL.spad" 2204198 2204222 2204861 2204866) (-1252 "UTSODE.spad" 2202386 2202406 2204188 2204193) (-1251 "UTS.spad" 2197175 2197203 2200853 2200950) (-1250 "UTSCAT.spad" 2194626 2194642 2197073 2197170) (-1249 "UTSCAT.spad" 2191721 2191739 2194170 2194175) (-1248 "UTS2.spad" 2191314 2191349 2191711 2191716) (-1247 "URAGG.spad" 2185946 2185957 2191304 2191309) (-1246 "URAGG.spad" 2180542 2180555 2185902 2185907) (-1245 "UPXSSING.spad" 2178185 2178211 2179623 2179756) (-1244 "UPXS.spad" 2175333 2175361 2176317 2176466) (-1243 "UPXSCONS.spad" 2173090 2173110 2173465 2173614) (-1242 "UPXSCCA.spad" 2171655 2171675 2172936 2173085) (-1241 "UPXSCCA.spad" 2170362 2170384 2171645 2171650) (-1240 "UPXSCAT.spad" 2168943 2168959 2170208 2170357) (-1239 "UPXS2.spad" 2168484 2168537 2168933 2168938) (-1238 "UPSQFREE.spad" 2166896 2166910 2168474 2168479) (-1237 "UPSCAT.spad" 2164489 2164513 2166794 2166891) (-1236 "UPSCAT.spad" 2161788 2161814 2164095 2164100) (-1235 "UPOLYC.spad" 2156766 2156777 2161630 2161783) (-1234 "UPOLYC.spad" 2151636 2151649 2156502 2156507) (-1233 "UPOLYC2.spad" 2151105 2151124 2151626 2151631) (-1232 "UP.spad" 2148262 2148277 2148655 2148808) (-1231 "UPMP.spad" 2147152 2147165 2148252 2148257) (-1230 "UPDIVP.spad" 2146715 2146729 2147142 2147147) (-1229 "UPDECOMP.spad" 2144952 2144966 2146705 2146710) (-1228 "UPCDEN.spad" 2144159 2144175 2144942 2144947) (-1227 "UP2.spad" 2143521 2143542 2144149 2144154) (-1226 "UNISEG.spad" 2142874 2142885 2143440 2143445) (-1225 "UNISEG2.spad" 2142367 2142380 2142830 2142835) (-1224 "UNIFACT.spad" 2141468 2141480 2142357 2142362) (-1223 "ULS.spad" 2132020 2132048 2133113 2133542) (-1222 "ULSCONS.spad" 2124414 2124434 2124786 2124935) (-1221 "ULSCCAT.spad" 2122143 2122163 2124260 2124409) (-1220 "ULSCCAT.spad" 2119980 2120002 2122099 2122104) (-1219 "ULSCAT.spad" 2118196 2118212 2119826 2119975) (-1218 "ULS2.spad" 2117708 2117761 2118186 2118191) (-1217 "UINT8.spad" 2117585 2117594 2117698 2117703) (-1216 "UINT64.spad" 2117461 2117470 2117575 2117580) (-1215 "UINT32.spad" 2117337 2117346 2117451 2117456) (-1214 "UINT16.spad" 2117213 2117222 2117327 2117332) (-1213 "UFD.spad" 2116278 2116287 2117139 2117208) (-1212 "UFD.spad" 2115405 2115416 2116268 2116273) (-1211 "UDVO.spad" 2114252 2114261 2115395 2115400) (-1210 "UDPO.spad" 2111679 2111690 2114208 2114213) (-1209 "TYPE.spad" 2111611 2111620 2111669 2111674) (-1208 "TYPEAST.spad" 2111530 2111539 2111601 2111606) (-1207 "TWOFACT.spad" 2110180 2110195 2111520 2111525) (-1206 "TUPLE.spad" 2109664 2109675 2110079 2110084) (-1205 "TUBETOOL.spad" 2106501 2106510 2109654 2109659) (-1204 "TUBE.spad" 2105142 2105159 2106491 2106496) (-1203 "TS.spad" 2103731 2103747 2104707 2104804) (-1202 "TSETCAT.spad" 2090858 2090875 2103699 2103726) (-1201 "TSETCAT.spad" 2077971 2077990 2090814 2090819) (-1200 "TRMANIP.spad" 2072337 2072354 2077677 2077682) (-1199 "TRIMAT.spad" 2071296 2071321 2072327 2072332) (-1198 "TRIGMNIP.spad" 2069813 2069830 2071286 2071291) (-1197 "TRIGCAT.spad" 2069325 2069334 2069803 2069808) (-1196 "TRIGCAT.spad" 2068835 2068846 2069315 2069320) (-1195 "TREE.spad" 2067406 2067417 2068442 2068469) (-1194 "TRANFUN.spad" 2067237 2067246 2067396 2067401) (-1193 "TRANFUN.spad" 2067066 2067077 2067227 2067232) (-1192 "TOPSP.spad" 2066740 2066749 2067056 2067061) (-1191 "TOOLSIGN.spad" 2066403 2066414 2066730 2066735) (-1190 "TEXTFILE.spad" 2064960 2064969 2066393 2066398) (-1189 "TEX.spad" 2062092 2062101 2064950 2064955) (-1188 "TEX1.spad" 2061648 2061659 2062082 2062087) (-1187 "TEMUTL.spad" 2061203 2061212 2061638 2061643) (-1186 "TBCMPPK.spad" 2059296 2059319 2061193 2061198) (-1185 "TBAGG.spad" 2058332 2058355 2059276 2059291) (-1184 "TBAGG.spad" 2057376 2057401 2058322 2058327) (-1183 "TANEXP.spad" 2056752 2056763 2057366 2057371) (-1182 "TABLE.spad" 2055163 2055186 2055433 2055460) (-1181 "TABLEAU.spad" 2054644 2054655 2055153 2055158) (-1180 "TABLBUMP.spad" 2051427 2051438 2054634 2054639) (-1179 "SYSTEM.spad" 2050655 2050664 2051417 2051422) (-1178 "SYSSOLP.spad" 2048128 2048139 2050645 2050650) (-1177 "SYSNNI.spad" 2047308 2047319 2048118 2048123) (-1176 "SYSINT.spad" 2046712 2046723 2047298 2047303) (-1175 "SYNTAX.spad" 2042906 2042915 2046702 2046707) (-1174 "SYMTAB.spad" 2040962 2040971 2042896 2042901) (-1173 "SYMS.spad" 2036947 2036956 2040952 2040957) (-1172 "SYMPOLY.spad" 2035954 2035965 2036036 2036163) (-1171 "SYMFUNC.spad" 2035429 2035440 2035944 2035949) (-1170 "SYMBOL.spad" 2032856 2032865 2035419 2035424) (-1169 "SWITCH.spad" 2029613 2029622 2032846 2032851) (-1168 "SUTS.spad" 2026512 2026540 2028080 2028177) (-1167 "SUPXS.spad" 2023647 2023675 2024644 2024793) (-1166 "SUP.spad" 2020416 2020427 2021197 2021350) (-1165 "SUPFRACF.spad" 2019521 2019539 2020406 2020411) (-1164 "SUP2.spad" 2018911 2018924 2019511 2019516) (-1163 "SUMRF.spad" 2017877 2017888 2018901 2018906) (-1162 "SUMFS.spad" 2017510 2017527 2017867 2017872) (-1161 "SULS.spad" 2008049 2008077 2009155 2009584) (-1160 "SUCHTAST.spad" 2007818 2007827 2008039 2008044) (-1159 "SUCH.spad" 2007498 2007513 2007808 2007813) (-1158 "SUBSPACE.spad" 1999505 1999520 2007488 2007493) (-1157 "SUBRESP.spad" 1998665 1998679 1999461 1999466) (-1156 "STTF.spad" 1994764 1994780 1998655 1998660) (-1155 "STTFNC.spad" 1991232 1991248 1994754 1994759) (-1154 "STTAYLOR.spad" 1983630 1983641 1991113 1991118) (-1153 "STRTBL.spad" 1982135 1982152 1982284 1982311) (-1152 "STRING.spad" 1981544 1981553 1981558 1981585) (-1151 "STRICAT.spad" 1981332 1981341 1981512 1981539) (-1150 "STREAM.spad" 1978190 1978201 1980857 1980872) (-1149 "STREAM3.spad" 1977735 1977750 1978180 1978185) (-1148 "STREAM2.spad" 1976803 1976816 1977725 1977730) (-1147 "STREAM1.spad" 1976507 1976518 1976793 1976798) (-1146 "STINPROD.spad" 1975413 1975429 1976497 1976502) (-1145 "STEP.spad" 1974614 1974623 1975403 1975408) (-1144 "STBL.spad" 1973140 1973168 1973307 1973322) (-1143 "STAGG.spad" 1972215 1972226 1973130 1973135) (-1142 "STAGG.spad" 1971288 1971301 1972205 1972210) (-1141 "STACK.spad" 1970639 1970650 1970895 1970922) (-1140 "SREGSET.spad" 1968343 1968360 1970285 1970312) (-1139 "SRDCMPK.spad" 1966888 1966908 1968333 1968338) (-1138 "SRAGG.spad" 1961985 1961994 1966856 1966883) (-1137 "SRAGG.spad" 1957102 1957113 1961975 1961980) (-1136 "SQMATRIX.spad" 1954718 1954736 1955634 1955721) (-1135 "SPLTREE.spad" 1949270 1949283 1954154 1954181) (-1134 "SPLNODE.spad" 1945858 1945871 1949260 1949265) (-1133 "SPFCAT.spad" 1944635 1944644 1945848 1945853) (-1132 "SPECOUT.spad" 1943185 1943194 1944625 1944630) (-1131 "SPADXPT.spad" 1935324 1935333 1943175 1943180) (-1130 "spad-parser.spad" 1934789 1934798 1935314 1935319) (-1129 "SPADAST.spad" 1934490 1934499 1934779 1934784) (-1128 "SPACEC.spad" 1918503 1918514 1934480 1934485) (-1127 "SPACE3.spad" 1918279 1918290 1918493 1918498) (-1126 "SORTPAK.spad" 1917824 1917837 1918235 1918240) (-1125 "SOLVETRA.spad" 1915581 1915592 1917814 1917819) (-1124 "SOLVESER.spad" 1914101 1914112 1915571 1915576) (-1123 "SOLVERAD.spad" 1910111 1910122 1914091 1914096) (-1122 "SOLVEFOR.spad" 1908531 1908549 1910101 1910106) (-1121 "SNTSCAT.spad" 1908131 1908148 1908499 1908526) (-1120 "SMTS.spad" 1906391 1906417 1907696 1907793) (-1119 "SMP.spad" 1903830 1903850 1904220 1904347) (-1118 "SMITH.spad" 1902673 1902698 1903820 1903825) (-1117 "SMATCAT.spad" 1900783 1900813 1902617 1902668) (-1116 "SMATCAT.spad" 1898825 1898857 1900661 1900666) (-1115 "SKAGG.spad" 1897786 1897797 1898793 1898820) (-1114 "SINT.spad" 1896612 1896621 1897652 1897781) (-1113 "SIMPAN.spad" 1896340 1896349 1896602 1896607) (-1112 "SIG.spad" 1895668 1895677 1896330 1896335) (-1111 "SIGNRF.spad" 1894776 1894787 1895658 1895663) (-1110 "SIGNEF.spad" 1894045 1894062 1894766 1894771) (-1109 "SIGAST.spad" 1893426 1893435 1894035 1894040) (-1108 "SHP.spad" 1891344 1891359 1893382 1893387) (-1107 "SHDP.spad" 1881055 1881082 1881564 1881695) (-1106 "SGROUP.spad" 1880663 1880672 1881045 1881050) (-1105 "SGROUP.spad" 1880269 1880280 1880653 1880658) (-1104 "SGCF.spad" 1873150 1873159 1880259 1880264) (-1103 "SFRTCAT.spad" 1872078 1872095 1873118 1873145) (-1102 "SFRGCD.spad" 1871141 1871161 1872068 1872073) (-1101 "SFQCMPK.spad" 1865778 1865798 1871131 1871136) (-1100 "SFORT.spad" 1865213 1865227 1865768 1865773) (-1099 "SEXOF.spad" 1865056 1865096 1865203 1865208) (-1098 "SEX.spad" 1864948 1864957 1865046 1865051) (-1097 "SEXCAT.spad" 1862499 1862539 1864938 1864943) (-1096 "SET.spad" 1860799 1860810 1861920 1861959) (-1095 "SETMN.spad" 1859233 1859250 1860789 1860794) (-1094 "SETCAT.spad" 1858718 1858727 1859223 1859228) (-1093 "SETCAT.spad" 1858201 1858212 1858708 1858713) (-1092 "SETAGG.spad" 1854722 1854733 1858181 1858196) (-1091 "SETAGG.spad" 1851251 1851264 1854712 1854717) (-1090 "SEQAST.spad" 1850954 1850963 1851241 1851246) (-1089 "SEGXCAT.spad" 1850076 1850089 1850944 1850949) (-1088 "SEG.spad" 1849889 1849900 1849995 1850000) (-1087 "SEGCAT.spad" 1848796 1848807 1849879 1849884) (-1086 "SEGBIND.spad" 1847868 1847879 1848751 1848756) (-1085 "SEGBIND2.spad" 1847564 1847577 1847858 1847863) (-1084 "SEGAST.spad" 1847278 1847287 1847554 1847559) (-1083 "SEG2.spad" 1846703 1846716 1847234 1847239) (-1082 "SDVAR.spad" 1845979 1845990 1846693 1846698) (-1081 "SDPOL.spad" 1843369 1843380 1843660 1843787) (-1080 "SCPKG.spad" 1841448 1841459 1843359 1843364) (-1079 "SCOPE.spad" 1840601 1840610 1841438 1841443) (-1078 "SCACHE.spad" 1839283 1839294 1840591 1840596) (-1077 "SASTCAT.spad" 1839192 1839201 1839273 1839278) (-1076 "SAOS.spad" 1839064 1839073 1839182 1839187) (-1075 "SAERFFC.spad" 1838777 1838797 1839054 1839059) (-1074 "SAE.spad" 1836952 1836968 1837563 1837698) (-1073 "SAEFACT.spad" 1836653 1836673 1836942 1836947) (-1072 "RURPK.spad" 1834294 1834310 1836643 1836648) (-1071 "RULESET.spad" 1833735 1833759 1834284 1834289) (-1070 "RULE.spad" 1831939 1831963 1833725 1833730) (-1069 "RULECOLD.spad" 1831791 1831804 1831929 1831934) (-1068 "RSTRCAST.spad" 1831508 1831517 1831781 1831786) (-1067 "RSETGCD.spad" 1827886 1827906 1831498 1831503) (-1066 "RSETCAT.spad" 1817670 1817687 1827854 1827881) (-1065 "RSETCAT.spad" 1807474 1807493 1817660 1817665) (-1064 "RSDCMPK.spad" 1805926 1805946 1807464 1807469) (-1063 "RRCC.spad" 1804310 1804340 1805916 1805921) (-1062 "RRCC.spad" 1802692 1802724 1804300 1804305) (-1061 "RPTAST.spad" 1802394 1802403 1802682 1802687) (-1060 "RPOLCAT.spad" 1781754 1781769 1802262 1802389) (-1059 "RPOLCAT.spad" 1760828 1760845 1781338 1781343) (-1058 "ROUTINE.spad" 1756691 1756700 1759475 1759502) (-1057 "ROMAN.spad" 1756019 1756028 1756557 1756686) (-1056 "ROIRC.spad" 1755099 1755131 1756009 1756014) (-1055 "RNS.spad" 1754002 1754011 1755001 1755094) (-1054 "RNS.spad" 1752991 1753002 1753992 1753997) (-1053 "RNG.spad" 1752726 1752735 1752981 1752986) (-1052 "RMODULE.spad" 1752364 1752375 1752716 1752721) (-1051 "RMCAT2.spad" 1751772 1751829 1752354 1752359) (-1050 "RMATRIX.spad" 1750596 1750615 1750939 1750978) (-1049 "RMATCAT.spad" 1746129 1746160 1750552 1750591) (-1048 "RMATCAT.spad" 1741552 1741585 1745977 1745982) (-1047 "RINTERP.spad" 1741440 1741460 1741542 1741547) (-1046 "RING.spad" 1740910 1740919 1741420 1741435) (-1045 "RING.spad" 1740388 1740399 1740900 1740905) (-1044 "RIDIST.spad" 1739772 1739781 1740378 1740383) (-1043 "RGCHAIN.spad" 1738351 1738367 1739257 1739284) (-1042 "RGBCSPC.spad" 1738132 1738144 1738341 1738346) (-1041 "RGBCMDL.spad" 1737662 1737674 1738122 1738127) (-1040 "RF.spad" 1735276 1735287 1737652 1737657) (-1039 "RFFACTOR.spad" 1734738 1734749 1735266 1735271) (-1038 "RFFACT.spad" 1734473 1734485 1734728 1734733) (-1037 "RFDIST.spad" 1733461 1733470 1734463 1734468) (-1036 "RETSOL.spad" 1732878 1732891 1733451 1733456) (-1035 "RETRACT.spad" 1732306 1732317 1732868 1732873) (-1034 "RETRACT.spad" 1731732 1731745 1732296 1732301) (-1033 "RETAST.spad" 1731544 1731553 1731722 1731727) (-1032 "RESULT.spad" 1729604 1729613 1730191 1730218) (-1031 "RESRING.spad" 1728951 1728998 1729542 1729599) (-1030 "RESLATC.spad" 1728275 1728286 1728941 1728946) (-1029 "REPSQ.spad" 1728004 1728015 1728265 1728270) (-1028 "REP.spad" 1725556 1725565 1727994 1727999) (-1027 "REPDB.spad" 1725261 1725272 1725546 1725551) (-1026 "REP2.spad" 1714833 1714844 1725103 1725108) (-1025 "REP1.spad" 1708823 1708834 1714783 1714788) (-1024 "REGSET.spad" 1706620 1706637 1708469 1708496) (-1023 "REF.spad" 1705949 1705960 1706575 1706580) (-1022 "REDORDER.spad" 1705125 1705142 1705939 1705944) (-1021 "RECLOS.spad" 1703908 1703928 1704612 1704705) (-1020 "REALSOLV.spad" 1703040 1703049 1703898 1703903) (-1019 "REAL.spad" 1702912 1702921 1703030 1703035) (-1018 "REAL0Q.spad" 1700194 1700209 1702902 1702907) (-1017 "REAL0.spad" 1697022 1697037 1700184 1700189) (-1016 "RDUCEAST.spad" 1696743 1696752 1697012 1697017) (-1015 "RDIV.spad" 1696394 1696419 1696733 1696738) (-1014 "RDIST.spad" 1695957 1695968 1696384 1696389) (-1013 "RDETRS.spad" 1694753 1694771 1695947 1695952) (-1012 "RDETR.spad" 1692860 1692878 1694743 1694748) (-1011 "RDEEFS.spad" 1691933 1691950 1692850 1692855) (-1010 "RDEEF.spad" 1690929 1690946 1691923 1691928) (-1009 "RCFIELD.spad" 1688115 1688124 1690831 1690924) (-1008 "RCFIELD.spad" 1685387 1685398 1688105 1688110) (-1007 "RCAGG.spad" 1683299 1683310 1685377 1685382) (-1006 "RCAGG.spad" 1681138 1681151 1683218 1683223) (-1005 "RATRET.spad" 1680498 1680509 1681128 1681133) (-1004 "RATFACT.spad" 1680190 1680202 1680488 1680493) (-1003 "RANDSRC.spad" 1679509 1679518 1680180 1680185) (-1002 "RADUTIL.spad" 1679263 1679272 1679499 1679504) (-1001 "RADIX.spad" 1676164 1676178 1677730 1677823) (-1000 "RADFF.spad" 1674577 1674614 1674696 1674852) (-999 "RADCAT.spad" 1674171 1674179 1674567 1674572) (-998 "RADCAT.spad" 1673763 1673773 1674161 1674166) (-997 "QUEUE.spad" 1673106 1673116 1673370 1673397) (-996 "QUAT.spad" 1671688 1671698 1672030 1672095) (-995 "QUATCT2.spad" 1671307 1671325 1671678 1671683) (-994 "QUATCAT.spad" 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1451157 1451162) (-881 "PATAB.spad" 1450015 1450025 1450241 1450246) (-880 "PARTPERM.spad" 1447377 1447385 1450005 1450010) (-879 "PARSURF.spad" 1446805 1446833 1447367 1447372) (-878 "PARSU2.spad" 1446600 1446616 1446795 1446800) (-877 "script-parser.spad" 1446120 1446128 1446590 1446595) (-876 "PARSCURV.spad" 1445548 1445576 1446110 1446115) (-875 "PARSC2.spad" 1445337 1445353 1445538 1445543) (-874 "PARPCURV.spad" 1444795 1444823 1445327 1445332) (-873 "PARPC2.spad" 1444584 1444600 1444785 1444790) (-872 "PAN2EXPR.spad" 1443996 1444004 1444574 1444579) (-871 "PALETTE.spad" 1442966 1442974 1443986 1443991) (-870 "PAIR.spad" 1441949 1441962 1442554 1442559) (-869 "PADICRC.spad" 1439279 1439297 1440454 1440547) (-868 "PADICRAT.spad" 1437294 1437306 1437515 1437608) (-867 "PADIC.spad" 1436989 1437001 1437220 1437289) (-866 "PADICCT.spad" 1435530 1435542 1436915 1436984) (-865 "PADEPAC.spad" 1434209 1434228 1435520 1435525) (-864 "PADE.spad" 1432949 1432965 1434199 1434204) (-863 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(-844 "ORDRING.spad" 1396882 1396892 1397474 1397479) (-843 "ORDMON.spad" 1396737 1396745 1396872 1396877) (-842 "ORDFUNS.spad" 1395863 1395879 1396727 1396732) (-841 "ORDFIN.spad" 1395683 1395691 1395853 1395858) (-840 "ORDCOMP.spad" 1394148 1394158 1395230 1395259) (-839 "ORDCOMP2.spad" 1393433 1393445 1394138 1394143) (-838 "OPTPROB.spad" 1392071 1392079 1393423 1393428) (-837 "OPTPACK.spad" 1384456 1384464 1392061 1392066) (-836 "OPTCAT.spad" 1382131 1382139 1384446 1384451) (-835 "OPSIG.spad" 1381783 1381791 1382121 1382126) (-834 "OPQUERY.spad" 1381332 1381340 1381773 1381778) (-833 "OP.spad" 1381074 1381084 1381154 1381221) (-832 "OPERCAT.spad" 1380662 1380672 1381064 1381069) (-831 "OPERCAT.spad" 1380248 1380260 1380652 1380657) (-830 "ONECOMP.spad" 1378993 1379003 1379795 1379824) (-829 "ONECOMP2.spad" 1378411 1378423 1378983 1378988) (-828 "OMSERVER.spad" 1377413 1377421 1378401 1378406) (-827 "OMSAGG.spad" 1377201 1377211 1377369 1377408) (-826 "OMPKG.spad" 1375813 1375821 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1339255 1339260) (-806 "ODEPRRIC.spad" 1333707 1333729 1336806 1336811) (-805 "ODEPROB.spad" 1332964 1332972 1333697 1333702) (-804 "ODEPRIM.spad" 1330238 1330260 1332954 1332959) (-803 "ODEPAL.spad" 1329614 1329638 1330228 1330233) (-802 "ODEPACK.spad" 1316216 1316224 1329604 1329609) (-801 "ODEINT.spad" 1315647 1315663 1316206 1316211) (-800 "ODEIFTBL.spad" 1313042 1313050 1315637 1315642) (-799 "ODEEF.spad" 1308409 1308425 1313032 1313037) (-798 "ODECONST.spad" 1307928 1307946 1308399 1308404) (-797 "ODECAT.spad" 1306524 1306532 1307918 1307923) (-796 "OCT.spad" 1304662 1304672 1305378 1305417) (-795 "OCTCT2.spad" 1304306 1304327 1304652 1304657) (-794 "OC.spad" 1302080 1302090 1304262 1304301) (-793 "OC.spad" 1299579 1299591 1301763 1301768) (-792 "OCAMON.spad" 1299427 1299435 1299569 1299574) (-791 "OASGP.spad" 1299242 1299250 1299417 1299422) (-790 "OAMONS.spad" 1298762 1298770 1299232 1299237) (-789 "OAMON.spad" 1298623 1298631 1298752 1298757) (-788 "OAGROUP.spad" 1298485 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"FLAGG.spad" 610445 610457 613409 613414) (-371 "FLAGG2.spad" 609126 609142 610435 610440) (-370 "FINRALG.spad" 607155 607168 609082 609121) (-369 "FINRALG.spad" 605110 605125 607039 607044) (-368 "FINITE.spad" 604262 604270 605100 605105) (-367 "FINAALG.spad" 593243 593253 604204 604257) (-366 "FINAALG.spad" 582236 582248 593199 593204) (-365 "FILE.spad" 581819 581829 582226 582231) (-364 "FILECAT.spad" 580337 580354 581809 581814) (-363 "FIELD.spad" 579743 579751 580239 580332) (-362 "FIELD.spad" 579235 579245 579733 579738) (-361 "FGROUP.spad" 577844 577854 579215 579230) (-360 "FGLMICPK.spad" 576631 576646 577834 577839) (-359 "FFX.spad" 576006 576021 576347 576440) (-358 "FFSLPE.spad" 575495 575516 575996 576001) (-357 "FFPOLY.spad" 566747 566758 575485 575490) (-356 "FFPOLY2.spad" 565807 565824 566737 566742) (-355 "FFP.spad" 565204 565224 565523 565616) (-354 "FF.spad" 564652 564668 564885 564978) (-353 "FFNBX.spad" 563164 563184 564368 564461) (-352 "FFNBP.spad" 561677 561694 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"FCOMP.spad" 515397 515407 516008 516013) (-330 "FC.spad" 505312 505320 515387 515392) (-329 "FAXF.spad" 498247 498261 505214 505307) (-328 "FAXF.spad" 491234 491250 498203 498208) (-327 "FARRAY.spad" 489380 489390 490417 490444) (-326 "FAMR.spad" 487500 487512 489278 489375) (-325 "FAMR.spad" 485604 485618 487384 487389) (-324 "FAMONOID.spad" 485254 485264 485558 485563) (-323 "FAMONC.spad" 483476 483488 485244 485249) (-322 "FAGROUP.spad" 483082 483092 483372 483399) (-321 "FACUTIL.spad" 481278 481295 483072 483077) (-320 "FACTFUNC.spad" 480454 480464 481268 481273) (-319 "EXPUPXS.spad" 477287 477310 478586 478735) (-318 "EXPRTUBE.spad" 474515 474523 477277 477282) (-317 "EXPRODE.spad" 471387 471403 474505 474510) (-316 "EXPR.spad" 466662 466672 467376 467783) (-315 "EXPR2UPS.spad" 462754 462767 466652 466657) (-314 "EXPR2.spad" 462457 462469 462744 462749) (-313 "EXPEXPAN.spad" 459395 459420 460029 460122) (-312 "EXIT.spad" 459066 459074 459385 459390) (-311 "EXITAST.spad" 458802 458810 459056 459061) (-310 "EVALCYC.spad" 458260 458274 458792 458797) (-309 "EVALAB.spad" 457824 457834 458250 458255) (-308 "EVALAB.spad" 457386 457398 457814 457819) (-307 "EUCDOM.spad" 454928 454936 457312 457381) (-306 "EUCDOM.spad" 452532 452542 454918 454923) (-305 "ESTOOLS.spad" 444372 444380 452522 452527) (-304 "ESTOOLS2.spad" 443973 443987 444362 444367) (-303 "ESTOOLS1.spad" 443658 443669 443963 443968) (-302 "ES.spad" 436205 436213 443648 443653) (-301 "ES.spad" 428658 428668 436103 436108) (-300 "ESCONT.spad" 425431 425439 428648 428653) (-299 "ESCONT1.spad" 425180 425192 425421 425426) (-298 "ES2.spad" 424675 424691 425170 425175) (-297 "ES1.spad" 424241 424257 424665 424670) (-296 "ERROR.spad" 421562 421570 424231 424236) (-295 "EQTBL.spad" 420034 420056 420243 420270) (-294 "EQ.spad" 414908 414918 417707 417819) (-293 "EQ2.spad" 414624 414636 414898 414903) (-292 "EP.spad" 410938 410948 414614 414619) (-291 "ENV.spad" 409614 409622 410928 410933) (-290 "ENTIRER.spad" 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"DOMCTOR.spad" 303904 303912 304002 304007) (-248 "DOMAIN.spad" 303035 303043 303894 303899) (-247 "DMP.spad" 300257 300272 300829 300956) (-246 "DLP.spad" 299605 299615 300247 300252) (-245 "DLIST.spad" 298184 298194 298788 298815) (-244 "DLAGG.spad" 296595 296605 298174 298179) (-243 "DIVRING.spad" 296137 296145 296539 296590) (-242 "DIVRING.spad" 295723 295733 296127 296132) (-241 "DISPLAY.spad" 293903 293911 295713 295718) (-240 "DIRPROD.spad" 283483 283499 284123 284254) (-239 "DIRPROD2.spad" 282291 282309 283473 283478) (-238 "DIRPCAT.spad" 281233 281249 282155 282286) (-237 "DIRPCAT.spad" 279904 279922 280828 280833) (-236 "DIOSP.spad" 278729 278737 279894 279899) (-235 "DIOPS.spad" 277713 277723 278709 278724) (-234 "DIOPS.spad" 276671 276683 277669 277674) (-233 "DIFRING.spad" 275963 275971 276651 276666) (-232 "DIFRING.spad" 275263 275273 275953 275958) (-231 "DIFEXT.spad" 274422 274432 275243 275258) (-230 "DIFEXT.spad" 273498 273510 274321 274326) (-229 "DIAGG.spad" 273128 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118527 118620) (-107 "BGAGG.spad" 117368 117378 118151 118166) (-106 "BGAGG.spad" 116573 116585 117358 117363) (-105 "BFUNCT.spad" 116137 116145 116553 116568) (-104 "BEZOUT.spad" 115271 115298 116087 116092) (-103 "BBTREE.spad" 112090 112100 114878 114905) (-102 "BASTYPE.spad" 111762 111770 112080 112085) (-101 "BASTYPE.spad" 111432 111442 111752 111757) (-100 "BALFACT.spad" 110871 110884 111422 111427) (-99 "AUTOMOR.spad" 110318 110327 110851 110866) (-98 "ATTREG.spad" 107037 107044 110070 110313) (-97 "ATTRBUT.spad" 103060 103067 107017 107032) (-96 "ATTRAST.spad" 102777 102784 103050 103055) (-95 "ATRIG.spad" 102247 102254 102767 102772) (-94 "ATRIG.spad" 101715 101724 102237 102242) (-93 "ASTCAT.spad" 101619 101626 101705 101710) (-92 "ASTCAT.spad" 101521 101530 101609 101614) (-91 "ASTACK.spad" 100854 100863 101128 101155) (-90 "ASSOCEQ.spad" 99654 99665 100810 100815) (-89 "ASP9.spad" 98735 98748 99644 99649) (-88 "ASP8.spad" 97778 97791 98725 98730) (-87 "ASP80.spad" 97100 97113 97768 97773) (-86 "ASP7.spad" 96260 96273 97090 97095) (-85 "ASP78.spad" 95711 95724 96250 96255) (-84 "ASP77.spad" 95080 95093 95701 95706) (-83 "ASP74.spad" 94172 94185 95070 95075) (-82 "ASP73.spad" 93443 93456 94162 94167) (-81 "ASP6.spad" 92310 92323 93433 93438) (-80 "ASP55.spad" 90819 90832 92300 92305) (-79 "ASP50.spad" 88636 88649 90809 90814) (-78 "ASP4.spad" 87931 87944 88626 88631) (-77 "ASP49.spad" 86930 86943 87921 87926) (-76 "ASP42.spad" 85337 85376 86920 86925) (-75 "ASP41.spad" 83916 83955 85327 85332) (-74 "ASP35.spad" 82904 82917 83906 83911) (-73 "ASP34.spad" 82205 82218 82894 82899) (-72 "ASP33.spad" 81765 81778 82195 82200) (-71 "ASP31.spad" 80905 80918 81755 81760) (-70 "ASP30.spad" 79797 79810 80895 80900) (-69 "ASP29.spad" 79263 79276 79787 79792) (-68 "ASP28.spad" 70536 70549 79253 79258) (-67 "ASP27.spad" 69433 69446 70526 70531) (-66 "ASP24.spad" 68520 68533 69423 69428) (-65 "ASP20.spad" 67984 67997 68510 68515) (-64 "ASP1.spad" 67365 67378 67974 67979) (-63 "ASP19.spad" 62051 62064 67355 67360) (-62 "ASP12.spad" 61465 61478 62041 62046) (-61 "ASP10.spad" 60736 60749 61455 61460) (-60 "ARRAY2.spad" 60096 60105 60343 60370) (-59 "ARRAY1.spad" 58931 58940 59279 59306) (-58 "ARRAY12.spad" 57600 57611 58921 58926) (-57 "ARR2CAT.spad" 53262 53283 57568 57595) (-56 "ARR2CAT.spad" 48944 48967 53252 53257) (-55 "ARITY.spad" 48512 48519 48934 48939) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
-\ No newline at end of file
+((-3 NIL 2283993 2283998 2284003 2284008) (-2 NIL 2283973 2283978 2283983 2283988) (-1 NIL 2283953 2283958 2283963 2283968) (0 NIL 2283933 2283938 2283943 2283948) (-1287 "ZMOD.spad" 2283742 2283755 2283871 2283928) (-1286 "ZLINDEP.spad" 2282786 2282797 2283732 2283737) (-1285 "ZDSOLVE.spad" 2272635 2272657 2282776 2282781) (-1284 "YSTREAM.spad" 2272128 2272139 2272625 2272630) (-1283 "XRPOLY.spad" 2271348 2271368 2271984 2272053) (-1282 "XPR.spad" 2269139 2269152 2271066 2271165) (-1281 "XPOLY.spad" 2268694 2268705 2268995 2269064) (-1280 "XPOLYC.spad" 2268011 2268027 2268620 2268689) (-1279 "XPBWPOLY.spad" 2266448 2266468 2267791 2267860) (-1278 "XF.spad" 2264909 2264924 2266350 2266443) (-1277 "XF.spad" 2263350 2263367 2264793 2264798) (-1276 "XFALG.spad" 2260374 2260390 2263276 2263345) (-1275 "XEXPPKG.spad" 2259625 2259651 2260364 2260369) (-1274 "XDPOLY.spad" 2259239 2259255 2259481 2259550) (-1273 "XALG.spad" 2258899 2258910 2259195 2259234) (-1272 "WUTSET.spad" 2254738 2254755 2258545 2258572) (-1271 "WP.spad" 2253937 2253981 2254596 2254663) (-1270 "WHILEAST.spad" 2253735 2253744 2253927 2253932) (-1269 "WHEREAST.spad" 2253406 2253415 2253725 2253730) (-1268 "WFFINTBS.spad" 2250969 2250991 2253396 2253401) (-1267 "WEIER.spad" 2249183 2249194 2250959 2250964) (-1266 "VSPACE.spad" 2248856 2248867 2249151 2249178) (-1265 "VSPACE.spad" 2248549 2248562 2248846 2248851) (-1264 "VOID.spad" 2248226 2248235 2248539 2248544) (-1263 "VIEW.spad" 2245848 2245857 2248216 2248221) (-1262 "VIEWDEF.spad" 2241045 2241054 2245838 2245843) (-1261 "VIEW3D.spad" 2224880 2224889 2241035 2241040) (-1260 "VIEW2D.spad" 2212617 2212626 2224870 2224875) (-1259 "VECTOR.spad" 2211292 2211303 2211543 2211570) (-1258 "VECTOR2.spad" 2209919 2209932 2211282 2211287) (-1257 "VECTCAT.spad" 2207819 2207830 2209887 2209914) (-1256 "VECTCAT.spad" 2205527 2205540 2207597 2207602) (-1255 "VARIABLE.spad" 2205307 2205322 2205517 2205522) (-1254 "UTYPE.spad" 2204951 2204960 2205297 2205302) (-1253 "UTSODETL.spad" 2204244 2204268 2204907 2204912) (-1252 "UTSODE.spad" 2202432 2202452 2204234 2204239) (-1251 "UTS.spad" 2197221 2197249 2200899 2200996) (-1250 "UTSCAT.spad" 2194672 2194688 2197119 2197216) (-1249 "UTSCAT.spad" 2191767 2191785 2194216 2194221) (-1248 "UTS2.spad" 2191360 2191395 2191757 2191762) (-1247 "URAGG.spad" 2185992 2186003 2191350 2191355) (-1246 "URAGG.spad" 2180588 2180601 2185948 2185953) (-1245 "UPXSSING.spad" 2178231 2178257 2179669 2179802) (-1244 "UPXS.spad" 2175379 2175407 2176363 2176512) (-1243 "UPXSCONS.spad" 2173136 2173156 2173511 2173660) (-1242 "UPXSCCA.spad" 2171701 2171721 2172982 2173131) (-1241 "UPXSCCA.spad" 2170408 2170430 2171691 2171696) (-1240 "UPXSCAT.spad" 2168989 2169005 2170254 2170403) (-1239 "UPXS2.spad" 2168530 2168583 2168979 2168984) (-1238 "UPSQFREE.spad" 2166942 2166956 2168520 2168525) (-1237 "UPSCAT.spad" 2164535 2164559 2166840 2166937) (-1236 "UPSCAT.spad" 2161834 2161860 2164141 2164146) (-1235 "UPOLYC.spad" 2156812 2156823 2161676 2161829) (-1234 "UPOLYC.spad" 2151682 2151695 2156548 2156553) (-1233 "UPOLYC2.spad" 2151151 2151170 2151672 2151677) (-1232 "UP.spad" 2148308 2148323 2148701 2148854) (-1231 "UPMP.spad" 2147198 2147211 2148298 2148303) (-1230 "UPDIVP.spad" 2146761 2146775 2147188 2147193) (-1229 "UPDECOMP.spad" 2144998 2145012 2146751 2146756) (-1228 "UPCDEN.spad" 2144205 2144221 2144988 2144993) (-1227 "UP2.spad" 2143567 2143588 2144195 2144200) (-1226 "UNISEG.spad" 2142920 2142931 2143486 2143491) (-1225 "UNISEG2.spad" 2142413 2142426 2142876 2142881) (-1224 "UNIFACT.spad" 2141514 2141526 2142403 2142408) (-1223 "ULS.spad" 2132066 2132094 2133159 2133588) (-1222 "ULSCONS.spad" 2124460 2124480 2124832 2124981) (-1221 "ULSCCAT.spad" 2122189 2122209 2124306 2124455) (-1220 "ULSCCAT.spad" 2120026 2120048 2122145 2122150) (-1219 "ULSCAT.spad" 2118242 2118258 2119872 2120021) (-1218 "ULS2.spad" 2117754 2117807 2118232 2118237) (-1217 "UINT8.spad" 2117631 2117640 2117744 2117749) (-1216 "UINT64.spad" 2117507 2117516 2117621 2117626) (-1215 "UINT32.spad" 2117383 2117392 2117497 2117502) (-1214 "UINT16.spad" 2117259 2117268 2117373 2117378) (-1213 "UFD.spad" 2116324 2116333 2117185 2117254) (-1212 "UFD.spad" 2115451 2115462 2116314 2116319) (-1211 "UDVO.spad" 2114298 2114307 2115441 2115446) (-1210 "UDPO.spad" 2111725 2111736 2114254 2114259) (-1209 "TYPE.spad" 2111657 2111666 2111715 2111720) (-1208 "TYPEAST.spad" 2111576 2111585 2111647 2111652) (-1207 "TWOFACT.spad" 2110226 2110241 2111566 2111571) (-1206 "TUPLE.spad" 2109710 2109721 2110125 2110130) (-1205 "TUBETOOL.spad" 2106547 2106556 2109700 2109705) (-1204 "TUBE.spad" 2105188 2105205 2106537 2106542) (-1203 "TS.spad" 2103777 2103793 2104753 2104850) (-1202 "TSETCAT.spad" 2090904 2090921 2103745 2103772) (-1201 "TSETCAT.spad" 2078017 2078036 2090860 2090865) (-1200 "TRMANIP.spad" 2072383 2072400 2077723 2077728) (-1199 "TRIMAT.spad" 2071342 2071367 2072373 2072378) (-1198 "TRIGMNIP.spad" 2069859 2069876 2071332 2071337) (-1197 "TRIGCAT.spad" 2069371 2069380 2069849 2069854) (-1196 "TRIGCAT.spad" 2068881 2068892 2069361 2069366) (-1195 "TREE.spad" 2067452 2067463 2068488 2068515) (-1194 "TRANFUN.spad" 2067283 2067292 2067442 2067447) (-1193 "TRANFUN.spad" 2067112 2067123 2067273 2067278) (-1192 "TOPSP.spad" 2066786 2066795 2067102 2067107) (-1191 "TOOLSIGN.spad" 2066449 2066460 2066776 2066781) (-1190 "TEXTFILE.spad" 2065006 2065015 2066439 2066444) (-1189 "TEX.spad" 2062138 2062147 2064996 2065001) (-1188 "TEX1.spad" 2061694 2061705 2062128 2062133) (-1187 "TEMUTL.spad" 2061249 2061258 2061684 2061689) (-1186 "TBCMPPK.spad" 2059342 2059365 2061239 2061244) (-1185 "TBAGG.spad" 2058378 2058401 2059322 2059337) (-1184 "TBAGG.spad" 2057422 2057447 2058368 2058373) (-1183 "TANEXP.spad" 2056798 2056809 2057412 2057417) (-1182 "TABLE.spad" 2055209 2055232 2055479 2055506) (-1181 "TABLEAU.spad" 2054690 2054701 2055199 2055204) (-1180 "TABLBUMP.spad" 2051473 2051484 2054680 2054685) (-1179 "SYSTEM.spad" 2050701 2050710 2051463 2051468) (-1178 "SYSSOLP.spad" 2048174 2048185 2050691 2050696) (-1177 "SYSNNI.spad" 2047354 2047365 2048164 2048169) (-1176 "SYSINT.spad" 2046758 2046769 2047344 2047349) (-1175 "SYNTAX.spad" 2042952 2042961 2046748 2046753) (-1174 "SYMTAB.spad" 2041008 2041017 2042942 2042947) (-1173 "SYMS.spad" 2036993 2037002 2040998 2041003) (-1172 "SYMPOLY.spad" 2036000 2036011 2036082 2036209) (-1171 "SYMFUNC.spad" 2035475 2035486 2035990 2035995) (-1170 "SYMBOL.spad" 2032902 2032911 2035465 2035470) (-1169 "SWITCH.spad" 2029659 2029668 2032892 2032897) (-1168 "SUTS.spad" 2026558 2026586 2028126 2028223) (-1167 "SUPXS.spad" 2023693 2023721 2024690 2024839) (-1166 "SUP.spad" 2020462 2020473 2021243 2021396) (-1165 "SUPFRACF.spad" 2019567 2019585 2020452 2020457) (-1164 "SUP2.spad" 2018957 2018970 2019557 2019562) (-1163 "SUMRF.spad" 2017923 2017934 2018947 2018952) (-1162 "SUMFS.spad" 2017556 2017573 2017913 2017918) (-1161 "SULS.spad" 2008095 2008123 2009201 2009630) (-1160 "SUCHTAST.spad" 2007864 2007873 2008085 2008090) (-1159 "SUCH.spad" 2007544 2007559 2007854 2007859) (-1158 "SUBSPACE.spad" 1999551 1999566 2007534 2007539) (-1157 "SUBRESP.spad" 1998711 1998725 1999507 1999512) (-1156 "STTF.spad" 1994810 1994826 1998701 1998706) (-1155 "STTFNC.spad" 1991278 1991294 1994800 1994805) (-1154 "STTAYLOR.spad" 1983676 1983687 1991159 1991164) (-1153 "STRTBL.spad" 1982181 1982198 1982330 1982357) (-1152 "STRING.spad" 1981590 1981599 1981604 1981631) (-1151 "STRICAT.spad" 1981378 1981387 1981558 1981585) (-1150 "STREAM.spad" 1978236 1978247 1980903 1980918) (-1149 "STREAM3.spad" 1977781 1977796 1978226 1978231) (-1148 "STREAM2.spad" 1976849 1976862 1977771 1977776) (-1147 "STREAM1.spad" 1976553 1976564 1976839 1976844) (-1146 "STINPROD.spad" 1975459 1975475 1976543 1976548) (-1145 "STEP.spad" 1974660 1974669 1975449 1975454) (-1144 "STBL.spad" 1973186 1973214 1973353 1973368) (-1143 "STAGG.spad" 1972261 1972272 1973176 1973181) (-1142 "STAGG.spad" 1971334 1971347 1972251 1972256) (-1141 "STACK.spad" 1970685 1970696 1970941 1970968) (-1140 "SREGSET.spad" 1968389 1968406 1970331 1970358) (-1139 "SRDCMPK.spad" 1966934 1966954 1968379 1968384) (-1138 "SRAGG.spad" 1962031 1962040 1966902 1966929) (-1137 "SRAGG.spad" 1957148 1957159 1962021 1962026) (-1136 "SQMATRIX.spad" 1954764 1954782 1955680 1955767) (-1135 "SPLTREE.spad" 1949316 1949329 1954200 1954227) (-1134 "SPLNODE.spad" 1945904 1945917 1949306 1949311) (-1133 "SPFCAT.spad" 1944681 1944690 1945894 1945899) (-1132 "SPECOUT.spad" 1943231 1943240 1944671 1944676) (-1131 "SPADXPT.spad" 1935370 1935379 1943221 1943226) (-1130 "spad-parser.spad" 1934835 1934844 1935360 1935365) (-1129 "SPADAST.spad" 1934536 1934545 1934825 1934830) (-1128 "SPACEC.spad" 1918549 1918560 1934526 1934531) (-1127 "SPACE3.spad" 1918325 1918336 1918539 1918544) (-1126 "SORTPAK.spad" 1917870 1917883 1918281 1918286) (-1125 "SOLVETRA.spad" 1915627 1915638 1917860 1917865) (-1124 "SOLVESER.spad" 1914147 1914158 1915617 1915622) (-1123 "SOLVERAD.spad" 1910157 1910168 1914137 1914142) (-1122 "SOLVEFOR.spad" 1908577 1908595 1910147 1910152) (-1121 "SNTSCAT.spad" 1908177 1908194 1908545 1908572) (-1120 "SMTS.spad" 1906437 1906463 1907742 1907839) (-1119 "SMP.spad" 1903876 1903896 1904266 1904393) (-1118 "SMITH.spad" 1902719 1902744 1903866 1903871) (-1117 "SMATCAT.spad" 1900829 1900859 1902663 1902714) (-1116 "SMATCAT.spad" 1898871 1898903 1900707 1900712) (-1115 "SKAGG.spad" 1897832 1897843 1898839 1898866) (-1114 "SINT.spad" 1896658 1896667 1897698 1897827) (-1113 "SIMPAN.spad" 1896386 1896395 1896648 1896653) (-1112 "SIG.spad" 1895714 1895723 1896376 1896381) (-1111 "SIGNRF.spad" 1894822 1894833 1895704 1895709) (-1110 "SIGNEF.spad" 1894091 1894108 1894812 1894817) (-1109 "SIGAST.spad" 1893472 1893481 1894081 1894086) (-1108 "SHP.spad" 1891390 1891405 1893428 1893433) (-1107 "SHDP.spad" 1881101 1881128 1881610 1881741) (-1106 "SGROUP.spad" 1880709 1880718 1881091 1881096) (-1105 "SGROUP.spad" 1880315 1880326 1880699 1880704) (-1104 "SGCF.spad" 1873196 1873205 1880305 1880310) (-1103 "SFRTCAT.spad" 1872124 1872141 1873164 1873191) (-1102 "SFRGCD.spad" 1871187 1871207 1872114 1872119) (-1101 "SFQCMPK.spad" 1865824 1865844 1871177 1871182) (-1100 "SFORT.spad" 1865259 1865273 1865814 1865819) (-1099 "SEXOF.spad" 1865102 1865142 1865249 1865254) (-1098 "SEX.spad" 1864994 1865003 1865092 1865097) (-1097 "SEXCAT.spad" 1862545 1862585 1864984 1864989) (-1096 "SET.spad" 1860845 1860856 1861966 1862005) (-1095 "SETMN.spad" 1859279 1859296 1860835 1860840) (-1094 "SETCAT.spad" 1858764 1858773 1859269 1859274) (-1093 "SETCAT.spad" 1858247 1858258 1858754 1858759) (-1092 "SETAGG.spad" 1854768 1854779 1858227 1858242) (-1091 "SETAGG.spad" 1851297 1851310 1854758 1854763) (-1090 "SEQAST.spad" 1851000 1851009 1851287 1851292) (-1089 "SEGXCAT.spad" 1850122 1850135 1850990 1850995) (-1088 "SEG.spad" 1849935 1849946 1850041 1850046) (-1087 "SEGCAT.spad" 1848842 1848853 1849925 1849930) (-1086 "SEGBIND.spad" 1847914 1847925 1848797 1848802) (-1085 "SEGBIND2.spad" 1847610 1847623 1847904 1847909) (-1084 "SEGAST.spad" 1847324 1847333 1847600 1847605) (-1083 "SEG2.spad" 1846749 1846762 1847280 1847285) (-1082 "SDVAR.spad" 1846025 1846036 1846739 1846744) (-1081 "SDPOL.spad" 1843415 1843426 1843706 1843833) (-1080 "SCPKG.spad" 1841494 1841505 1843405 1843410) (-1079 "SCOPE.spad" 1840647 1840656 1841484 1841489) (-1078 "SCACHE.spad" 1839329 1839340 1840637 1840642) (-1077 "SASTCAT.spad" 1839238 1839247 1839319 1839324) (-1076 "SAOS.spad" 1839110 1839119 1839228 1839233) (-1075 "SAERFFC.spad" 1838823 1838843 1839100 1839105) (-1074 "SAE.spad" 1836998 1837014 1837609 1837744) (-1073 "SAEFACT.spad" 1836699 1836719 1836988 1836993) (-1072 "RURPK.spad" 1834340 1834356 1836689 1836694) (-1071 "RULESET.spad" 1833781 1833805 1834330 1834335) (-1070 "RULE.spad" 1831985 1832009 1833771 1833776) (-1069 "RULECOLD.spad" 1831837 1831850 1831975 1831980) (-1068 "RSTRCAST.spad" 1831554 1831563 1831827 1831832) (-1067 "RSETGCD.spad" 1827932 1827952 1831544 1831549) (-1066 "RSETCAT.spad" 1817716 1817733 1827900 1827927) (-1065 "RSETCAT.spad" 1807520 1807539 1817706 1817711) (-1064 "RSDCMPK.spad" 1805972 1805992 1807510 1807515) (-1063 "RRCC.spad" 1804356 1804386 1805962 1805967) (-1062 "RRCC.spad" 1802738 1802770 1804346 1804351) (-1061 "RPTAST.spad" 1802440 1802449 1802728 1802733) (-1060 "RPOLCAT.spad" 1781800 1781815 1802308 1802435) (-1059 "RPOLCAT.spad" 1760874 1760891 1781384 1781389) (-1058 "ROUTINE.spad" 1756737 1756746 1759521 1759548) (-1057 "ROMAN.spad" 1756065 1756074 1756603 1756732) (-1056 "ROIRC.spad" 1755145 1755177 1756055 1756060) (-1055 "RNS.spad" 1754048 1754057 1755047 1755140) (-1054 "RNS.spad" 1753037 1753048 1754038 1754043) (-1053 "RNG.spad" 1752772 1752781 1753027 1753032) (-1052 "RMODULE.spad" 1752410 1752421 1752762 1752767) (-1051 "RMCAT2.spad" 1751818 1751875 1752400 1752405) (-1050 "RMATRIX.spad" 1750642 1750661 1750985 1751024) (-1049 "RMATCAT.spad" 1746175 1746206 1750598 1750637) (-1048 "RMATCAT.spad" 1741598 1741631 1746023 1746028) (-1047 "RINTERP.spad" 1741486 1741506 1741588 1741593) (-1046 "RING.spad" 1740956 1740965 1741466 1741481) (-1045 "RING.spad" 1740434 1740445 1740946 1740951) (-1044 "RIDIST.spad" 1739818 1739827 1740424 1740429) (-1043 "RGCHAIN.spad" 1738397 1738413 1739303 1739330) (-1042 "RGBCSPC.spad" 1738178 1738190 1738387 1738392) (-1041 "RGBCMDL.spad" 1737708 1737720 1738168 1738173) (-1040 "RF.spad" 1735322 1735333 1737698 1737703) (-1039 "RFFACTOR.spad" 1734784 1734795 1735312 1735317) (-1038 "RFFACT.spad" 1734519 1734531 1734774 1734779) (-1037 "RFDIST.spad" 1733507 1733516 1734509 1734514) (-1036 "RETSOL.spad" 1732924 1732937 1733497 1733502) (-1035 "RETRACT.spad" 1732352 1732363 1732914 1732919) (-1034 "RETRACT.spad" 1731778 1731791 1732342 1732347) (-1033 "RETAST.spad" 1731590 1731599 1731768 1731773) (-1032 "RESULT.spad" 1729650 1729659 1730237 1730264) (-1031 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1586033) (-956 "PRIMCAT.spad" 1583642 1583650 1584009 1584014) (-955 "PRIMARR.spad" 1582647 1582657 1582825 1582852) (-954 "PRIMARR2.spad" 1581370 1581382 1582637 1582642) (-953 "PREASSOC.spad" 1580742 1580754 1581360 1581365) (-952 "PPCURVE.spad" 1579879 1579887 1580732 1580737) (-951 "PORTNUM.spad" 1579654 1579662 1579869 1579874) (-950 "POLYROOT.spad" 1578483 1578505 1579610 1579615) (-949 "POLY.spad" 1575780 1575790 1576297 1576424) (-948 "POLYLIFT.spad" 1575041 1575064 1575770 1575775) (-947 "POLYCATQ.spad" 1573143 1573165 1575031 1575036) (-946 "POLYCAT.spad" 1566549 1566570 1573011 1573138) (-945 "POLYCAT.spad" 1559257 1559280 1565721 1565726) (-944 "POLY2UP.spad" 1558705 1558719 1559247 1559252) (-943 "POLY2.spad" 1558300 1558312 1558695 1558700) (-942 "POLUTIL.spad" 1557241 1557270 1558256 1558261) (-941 "POLTOPOL.spad" 1555989 1556004 1557231 1557236) (-940 "POINT.spad" 1554828 1554838 1554915 1554942) (-939 "PNTHEORY.spad" 1551494 1551502 1554818 1554823) (-938 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1451203 1451208) (-881 "PATAB.spad" 1450061 1450071 1450287 1450292) (-880 "PARTPERM.spad" 1447423 1447431 1450051 1450056) (-879 "PARSURF.spad" 1446851 1446879 1447413 1447418) (-878 "PARSU2.spad" 1446646 1446662 1446841 1446846) (-877 "script-parser.spad" 1446166 1446174 1446636 1446641) (-876 "PARSCURV.spad" 1445594 1445622 1446156 1446161) (-875 "PARSC2.spad" 1445383 1445399 1445584 1445589) (-874 "PARPCURV.spad" 1444841 1444869 1445373 1445378) (-873 "PARPC2.spad" 1444630 1444646 1444831 1444836) (-872 "PAN2EXPR.spad" 1444042 1444050 1444620 1444625) (-871 "PALETTE.spad" 1443012 1443020 1444032 1444037) (-870 "PAIR.spad" 1441995 1442008 1442600 1442605) (-869 "PADICRC.spad" 1439325 1439343 1440500 1440593) (-868 "PADICRAT.spad" 1437340 1437352 1437561 1437654) (-867 "PADIC.spad" 1437035 1437047 1437266 1437335) (-866 "PADICCT.spad" 1435576 1435588 1436961 1437030) (-865 "PADEPAC.spad" 1434255 1434274 1435566 1435571) (-864 "PADE.spad" 1432995 1433011 1434245 1434250) (-863 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(-844 "ORDRING.spad" 1396928 1396938 1397520 1397525) (-843 "ORDMON.spad" 1396783 1396791 1396918 1396923) (-842 "ORDFUNS.spad" 1395909 1395925 1396773 1396778) (-841 "ORDFIN.spad" 1395729 1395737 1395899 1395904) (-840 "ORDCOMP.spad" 1394194 1394204 1395276 1395305) (-839 "ORDCOMP2.spad" 1393479 1393491 1394184 1394189) (-838 "OPTPROB.spad" 1392117 1392125 1393469 1393474) (-837 "OPTPACK.spad" 1384502 1384510 1392107 1392112) (-836 "OPTCAT.spad" 1382177 1382185 1384492 1384497) (-835 "OPSIG.spad" 1381829 1381837 1382167 1382172) (-834 "OPQUERY.spad" 1381378 1381386 1381819 1381824) (-833 "OP.spad" 1381120 1381130 1381200 1381267) (-832 "OPERCAT.spad" 1380708 1380718 1381110 1381115) (-831 "OPERCAT.spad" 1380294 1380306 1380698 1380703) (-830 "ONECOMP.spad" 1379039 1379049 1379841 1379870) (-829 "ONECOMP2.spad" 1378457 1378469 1379029 1379034) (-828 "OMSERVER.spad" 1377459 1377467 1378447 1378452) (-827 "OMSAGG.spad" 1377247 1377257 1377415 1377454) (-826 "OMPKG.spad" 1375859 1375867 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1298539 1298659 1298664) (-787 "NUMTUBE.spad" 1298118 1298134 1298521 1298526) (-786 "NUMQUAD.spad" 1285980 1285988 1298108 1298113) (-785 "NUMODE.spad" 1277116 1277124 1285970 1285975) (-784 "NUMINT.spad" 1274674 1274682 1277106 1277111) (-783 "NUMFMT.spad" 1273514 1273522 1274664 1274669) (-782 "NUMERIC.spad" 1265586 1265596 1273319 1273324) (-781 "NTSCAT.spad" 1264088 1264104 1265554 1265581) (-780 "NTPOLFN.spad" 1263633 1263643 1264005 1264010) (-779 "NSUP.spad" 1256643 1256653 1261183 1261336) (-778 "NSUP2.spad" 1256035 1256047 1256633 1256638) (-777 "NSMP.spad" 1252230 1252249 1252538 1252665) (-776 "NREP.spad" 1250602 1250616 1252220 1252225) (-775 "NPCOEF.spad" 1249848 1249868 1250592 1250597) (-774 "NORMRETR.spad" 1249446 1249485 1249838 1249843) (-773 "NORMPK.spad" 1247348 1247367 1249436 1249441) (-772 "NORMMA.spad" 1247036 1247062 1247338 1247343) (-771 "NONE.spad" 1246777 1246785 1247026 1247031) (-770 "NONE1.spad" 1246453 1246463 1246767 1246772) (-769 "NODE1.spad" 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991289) (-617 "LALG.spad" 990854 990866 991060 991065) (-616 "KVTFROM.spad" 990589 990599 990844 990849) (-615 "KTVLOGIC.spad" 990012 990020 990579 990584) (-614 "KRCFROM.spad" 989750 989760 990002 990007) (-613 "KOVACIC.spad" 988463 988480 989740 989745) (-612 "KONVERT.spad" 988185 988195 988453 988458) (-611 "KOERCE.spad" 987922 987932 988175 988180) (-610 "KERNEL.spad" 986457 986467 987706 987711) (-609 "KERNEL2.spad" 986160 986172 986447 986452) (-608 "KDAGG.spad" 985263 985285 986140 986155) (-607 "KDAGG.spad" 984374 984398 985253 985258) (-606 "KAFILE.spad" 983337 983353 983572 983599) (-605 "JORDAN.spad" 981164 981176 982627 982772) (-604 "JOINAST.spad" 980858 980866 981154 981159) (-603 "JAVACODE.spad" 980724 980732 980848 980853) (-602 "IXAGG.spad" 978847 978871 980714 980719) (-601 "IXAGG.spad" 976825 976851 978694 978699) (-600 "IVECTOR.spad" 975596 975611 975751 975778) (-599 "ITUPLE.spad" 974741 974751 975586 975591) (-598 "ITRIGMNP.spad" 973552 973571 974731 974736) (-597 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(-454 "GDMP.spad" 765524 765541 766300 766427) (-453 "GCNAALG.spad" 759419 759446 765318 765385) (-452 "GCDDOM.spad" 758591 758599 759345 759414) (-451 "GCDDOM.spad" 757825 757835 758581 758586) (-450 "GB.spad" 755343 755381 757781 757786) (-449 "GBINTERN.spad" 751363 751401 755333 755338) (-448 "GBF.spad" 747120 747158 751353 751358) (-447 "GBEUCLID.spad" 744994 745032 747110 747115) (-446 "GAUSSFAC.spad" 744291 744299 744984 744989) (-445 "GALUTIL.spad" 742613 742623 744247 744252) (-444 "GALPOLYU.spad" 741059 741072 742603 742608) (-443 "GALFACTU.spad" 739224 739243 741049 741054) (-442 "GALFACT.spad" 729357 729368 739214 739219) (-441 "FVFUN.spad" 726380 726388 729347 729352) (-440 "FVC.spad" 725432 725440 726370 726375) (-439 "FUNDESC.spad" 725110 725118 725422 725427) (-438 "FUNCTION.spad" 724959 724971 725100 725105) (-437 "FT.spad" 723252 723260 724949 724954) (-436 "FTEM.spad" 722415 722423 723242 723247) (-435 "FSUPFACT.spad" 721315 721334 722351 722356) (-434 "FST.spad" 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(-413 "FRIDEAL.spad" 672851 672872 673636 673651) (-412 "FRIDEAL2.spad" 672453 672485 672841 672846) (-411 "FRETRCT.spad" 671964 671974 672443 672448) (-410 "FRETRCT.spad" 671341 671353 671822 671827) (-409 "FRAMALG.spad" 669669 669682 671297 671336) (-408 "FRAMALG.spad" 668029 668044 669659 669664) (-407 "FRAC.spad" 665128 665138 665531 665704) (-406 "FRAC2.spad" 664731 664743 665118 665123) (-405 "FR2.spad" 664065 664077 664721 664726) (-404 "FPS.spad" 660874 660882 663955 664060) (-403 "FPS.spad" 657711 657721 660794 660799) (-402 "FPC.spad" 656753 656761 657613 657706) (-401 "FPC.spad" 655881 655891 656743 656748) (-400 "FPATMAB.spad" 655643 655653 655871 655876) (-399 "FPARFRAC.spad" 654116 654133 655633 655638) (-398 "FORTRAN.spad" 652622 652665 654106 654111) (-397 "FORT.spad" 651551 651559 652612 652617) (-396 "FORTFN.spad" 648721 648729 651541 651546) (-395 "FORTCAT.spad" 648405 648413 648711 648716) (-394 "FORMULA.spad" 645869 645877 648395 648400) (-393 "FORMULA1.spad" 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"FLAGG.spad" 610491 610503 613455 613460) (-371 "FLAGG2.spad" 609172 609188 610481 610486) (-370 "FINRALG.spad" 607201 607214 609128 609167) (-369 "FINRALG.spad" 605156 605171 607085 607090) (-368 "FINITE.spad" 604308 604316 605146 605151) (-367 "FINAALG.spad" 593289 593299 604250 604303) (-366 "FINAALG.spad" 582282 582294 593245 593250) (-365 "FILE.spad" 581865 581875 582272 582277) (-364 "FILECAT.spad" 580383 580400 581855 581860) (-363 "FIELD.spad" 579789 579797 580285 580378) (-362 "FIELD.spad" 579281 579291 579779 579784) (-361 "FGROUP.spad" 577890 577900 579261 579276) (-360 "FGLMICPK.spad" 576677 576692 577880 577885) (-359 "FFX.spad" 576052 576067 576393 576486) (-358 "FFSLPE.spad" 575541 575562 576042 576047) (-357 "FFPOLY.spad" 566793 566804 575531 575536) (-356 "FFPOLY2.spad" 565853 565870 566783 566788) (-355 "FFP.spad" 565250 565270 565569 565662) (-354 "FF.spad" 564698 564714 564931 565024) (-353 "FFNBX.spad" 563210 563230 564414 564507) (-352 "FFNBP.spad" 561723 561740 562926 563019) (-351 "FFNB.spad" 560188 560209 561404 561497) (-350 "FFINTBAS.spad" 557602 557621 560178 560183) (-349 "FFIELDC.spad" 555177 555185 557504 557597) (-348 "FFIELDC.spad" 552838 552848 555167 555172) (-347 "FFHOM.spad" 551586 551603 552828 552833) (-346 "FFF.spad" 549021 549032 551576 551581) (-345 "FFCGX.spad" 547868 547888 548737 548830) (-344 "FFCGP.spad" 546757 546777 547584 547677) (-343 "FFCG.spad" 545549 545570 546438 546531) (-342 "FFCAT.spad" 538576 538598 545388 545544) (-341 "FFCAT.spad" 531682 531706 538496 538501) (-340 "FFCAT2.spad" 531427 531467 531672 531677) (-339 "FEXPR.spad" 523136 523182 531183 531222) (-338 "FEVALAB.spad" 522842 522852 523126 523131) (-337 "FEVALAB.spad" 522333 522345 522619 522624) (-336 "FDIV.spad" 521775 521799 522323 522328) (-335 "FDIVCAT.spad" 519817 519841 521765 521770) (-334 "FDIVCAT.spad" 517857 517883 519807 519812) (-333 "FDIV2.spad" 517511 517551 517847 517852) (-332 "FCPAK1.spad" 516064 516072 517501 517506) (-331 "FCOMP.spad" 515443 515453 516054 516059) (-330 "FC.spad" 505358 505366 515433 515438) (-329 "FAXF.spad" 498293 498307 505260 505353) (-328 "FAXF.spad" 491280 491296 498249 498254) (-327 "FARRAY.spad" 489426 489436 490463 490490) (-326 "FAMR.spad" 487546 487558 489324 489421) (-325 "FAMR.spad" 485650 485664 487430 487435) (-324 "FAMONOID.spad" 485300 485310 485604 485609) (-323 "FAMONC.spad" 483522 483534 485290 485295) (-322 "FAGROUP.spad" 483128 483138 483418 483445) (-321 "FACUTIL.spad" 481324 481341 483118 483123) (-320 "FACTFUNC.spad" 480500 480510 481314 481319) (-319 "EXPUPXS.spad" 477333 477356 478632 478781) (-318 "EXPRTUBE.spad" 474561 474569 477323 477328) (-317 "EXPRODE.spad" 471433 471449 474551 474556) (-316 "EXPR.spad" 466708 466718 467422 467829) (-315 "EXPR2UPS.spad" 462800 462813 466698 466703) (-314 "EXPR2.spad" 462503 462515 462790 462795) (-313 "EXPEXPAN.spad" 459441 459466 460075 460168) (-312 "EXIT.spad" 459112 459120 459431 459436) (-311 "EXITAST.spad" 458848 458856 459102 459107) (-310 "EVALCYC.spad" 458306 458320 458838 458843) (-309 "EVALAB.spad" 457870 457880 458296 458301) (-308 "EVALAB.spad" 457432 457444 457860 457865) (-307 "EUCDOM.spad" 454974 454982 457358 457427) (-306 "EUCDOM.spad" 452578 452588 454964 454969) (-305 "ESTOOLS.spad" 444418 444426 452568 452573) (-304 "ESTOOLS2.spad" 444019 444033 444408 444413) (-303 "ESTOOLS1.spad" 443704 443715 444009 444014) (-302 "ES.spad" 436251 436259 443694 443699) (-301 "ES.spad" 428704 428714 436149 436154) (-300 "ESCONT.spad" 425477 425485 428694 428699) (-299 "ESCONT1.spad" 425226 425238 425467 425472) (-298 "ES2.spad" 424721 424737 425216 425221) (-297 "ES1.spad" 424287 424303 424711 424716) (-296 "ERROR.spad" 421608 421616 424277 424282) (-295 "EQTBL.spad" 420080 420102 420289 420316) (-294 "EQ.spad" 414954 414964 417753 417865) (-293 "EQ2.spad" 414670 414682 414944 414949) (-292 "EP.spad" 410984 410994 414660 414665) (-291 "ENV.spad" 409660 409668 410974 410979) (-290 "ENTIRER.spad" 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"DOMCTOR.spad" 303950 303958 304048 304053) (-248 "DOMAIN.spad" 303081 303089 303940 303945) (-247 "DMP.spad" 300303 300318 300875 301002) (-246 "DLP.spad" 299651 299661 300293 300298) (-245 "DLIST.spad" 298230 298240 298834 298861) (-244 "DLAGG.spad" 296641 296651 298220 298225) (-243 "DIVRING.spad" 296183 296191 296585 296636) (-242 "DIVRING.spad" 295769 295779 296173 296178) (-241 "DISPLAY.spad" 293949 293957 295759 295764) (-240 "DIRPROD.spad" 283529 283545 284169 284300) (-239 "DIRPROD2.spad" 282337 282355 283519 283524) (-238 "DIRPCAT.spad" 281279 281295 282201 282332) (-237 "DIRPCAT.spad" 279950 279968 280874 280879) (-236 "DIOSP.spad" 278775 278783 279940 279945) (-235 "DIOPS.spad" 277759 277769 278755 278770) (-234 "DIOPS.spad" 276717 276729 277715 277720) (-233 "DIFRING.spad" 276009 276017 276697 276712) (-232 "DIFRING.spad" 275309 275319 275999 276004) (-231 "DIFEXT.spad" 274468 274478 275289 275304) (-230 "DIFEXT.spad" 273544 273556 274367 274372) (-229 "DIAGG.spad" 273174 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244023 244028) (-208 "D02CJFA.spad" 242973 242981 243485 243490) (-207 "D02BHFA.spad" 242463 242471 242963 242968) (-206 "D02BBFA.spad" 241953 241961 242453 242458) (-205 "D02AGNT.spad" 236757 236765 241943 241948) (-204 "D01WGTS.spad" 235076 235084 236747 236752) (-203 "D01TRNS.spad" 235053 235061 235066 235071) (-202 "D01GBFA.spad" 234575 234583 235043 235048) (-201 "D01FCFA.spad" 234097 234105 234565 234570) (-200 "D01ASFA.spad" 233565 233573 234087 234092) (-199 "D01AQFA.spad" 233011 233019 233555 233560) (-198 "D01APFA.spad" 232435 232443 233001 233006) (-197 "D01ANFA.spad" 231929 231937 232425 232430) (-196 "D01AMFA.spad" 231439 231447 231919 231924) (-195 "D01ALFA.spad" 230979 230987 231429 231434) (-194 "D01AKFA.spad" 230505 230513 230969 230974) (-193 "D01AJFA.spad" 230028 230036 230495 230500) (-192 "D01AGNT.spad" 226087 226095 230018 230023) (-191 "CYCLOTOM.spad" 225593 225601 226077 226082) (-190 "CYCLES.spad" 222425 222433 225583 225588) (-189 "CVMP.spad" 221842 221852 222415 222420) (-188 "CTRIGMNP.spad" 220332 220348 221832 221837) (-187 "CTOR.spad" 220023 220031 220322 220327) (-186 "CTORKIND.spad" 219626 219634 220013 220018) (-185 "CTORCAT.spad" 218875 218883 219616 219621) (-184 "CTORCAT.spad" 218122 218132 218865 218870) (-183 "CTORCALL.spad" 217702 217710 218112 218117) (-182 "CSTTOOLS.spad" 216945 216958 217692 217697) (-181 "CRFP.spad" 210649 210662 216935 216940) (-180 "CRCEAST.spad" 210369 210377 210639 210644) (-179 "CRAPACK.spad" 209412 209422 210359 210364) (-178 "CPMATCH.spad" 208912 208927 209337 209342) (-177 "CPIMA.spad" 208617 208636 208902 208907) (-176 "COORDSYS.spad" 203510 203520 208607 208612) (-175 "CONTOUR.spad" 202921 202929 203500 203505) (-174 "CONTFRAC.spad" 198533 198543 202823 202916) (-173 "CONDUIT.spad" 198291 198299 198523 198528) (-172 "COMRING.spad" 197965 197973 198229 198286) (-171 "COMPPROP.spad" 197479 197487 197955 197960) (-170 "COMPLPAT.spad" 197246 197261 197469 197474) (-169 "COMPLEX.spad" 191270 191280 191514 191775) (-168 "COMPLEX2.spad" 190983 190995 191260 191265) (-167 "COMPFACT.spad" 190585 190599 190973 190978) (-166 "COMPCAT.spad" 188653 188663 190319 190580) (-165 "COMPCAT.spad" 186414 186426 188082 188087) (-164 "COMMUPC.spad" 186160 186178 186404 186409) (-163 "COMMONOP.spad" 185693 185701 186150 186155) (-162 "COMM.spad" 185502 185510 185683 185688) (-161 "COMMAAST.spad" 185265 185273 185492 185497) (-160 "COMBOPC.spad" 184170 184178 185255 185260) (-159 "COMBINAT.spad" 182915 182925 184160 184165) (-158 "COMBF.spad" 180283 180299 182905 182910) (-157 "COLOR.spad" 179120 179128 180273 180278) (-156 "COLONAST.spad" 178786 178794 179110 179115) (-155 "CMPLXRT.spad" 178495 178512 178776 178781) (-154 "CLLCTAST.spad" 178157 178165 178485 178490) (-153 "CLIP.spad" 174249 174257 178147 178152) (-152 "CLIF.spad" 172888 172904 174205 174244) (-151 "CLAGG.spad" 169373 169383 172878 172883) (-150 "CLAGG.spad" 165729 165741 169236 169241) (-149 "CINTSLPE.spad" 165054 165067 165719 165724) (-148 "CHVAR.spad" 163132 163154 165044 165049) (-147 "CHARZ.spad" 163047 163055 163112 163127) (-146 "CHARPOL.spad" 162555 162565 163037 163042) (-145 "CHARNZ.spad" 162308 162316 162535 162550) (-144 "CHAR.spad" 160176 160184 162298 162303) (-143 "CFCAT.spad" 159492 159500 160166 160171) (-142 "CDEN.spad" 158650 158664 159482 159487) (-141 "CCLASS.spad" 156799 156807 158061 158100) (-140 "CATEGORY.spad" 155889 155897 156789 156794) (-139 "CATCTOR.spad" 155780 155788 155879 155884) (-138 "CATAST.spad" 155398 155406 155770 155775) (-137 "CASEAST.spad" 155112 155120 155388 155393) (-136 "CARTEN.spad" 150215 150239 155102 155107) (-135 "CARTEN2.spad" 149601 149628 150205 150210) (-134 "CARD.spad" 146890 146898 149575 149596) (-133 "CAPSLAST.spad" 146664 146672 146880 146885) (-132 "CACHSET.spad" 146286 146294 146654 146659) (-131 "CABMON.spad" 145839 145847 146276 146281) (-130 "BYTEORD.spad" 145514 145522 145829 145834) (-129 "BYTE.spad" 144939 144947 145504 145509) (-128 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+\ No newline at end of file
diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase
index 9d15f54b..fcb83f92 100644
--- a/src/share/algebra/category.daase
+++ b/src/share/algebra/category.daase
@@ -1,15 +1,15 @@
 
-(162147 . 3450528894)        
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+(162166 . 3450896465)        
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 ((($) . T)) 
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-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
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+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 (((|#1| |#2|) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-1094)) 
@@ -156,33 +157,33 @@
 ((((-564)) . T)) 
 ((((-564)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (((|#1| (-768)) . T)) 
 (|has| |#2| (-790)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 (|has| |#2| (-845)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1152) |#1|) . T)) 
 ((((-564) (-129)) . T)) 
 (((|#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#3| (-768)) . T)) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-145)) 
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 (|has| |#1| (-1094)) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
 ((((-564)) . T) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564))))) 
-((((-564)) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) ((|#1|) . T) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#2|) . T)) 
+((((-564)) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) ((|#1|) . T) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#2|) . T)) 
 ((((-1170) |#2|) |has| |#2| (-514 (-1170) |#2|)) ((|#2| |#2|) |has| |#2| (-309 |#2|))) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
-((((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
+((((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
 (((|#1|) . T) (($) . T)) 
 ((((-564)) . T)) 
 ((((-564)) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
 ((((-564)) . T)) 
 ((((-564)) . T)) 
 (((#0=(-695) (-1166 #0#)) . T)) 
@@ -201,13 +202,13 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1| |#1|) . T)) 
-(((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564)))) ((|#1| |#1|) . T) (($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+(((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564)))) ((|#1| |#1|) . T) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T) (($) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((($) -4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) ((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046)))) 
+((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) ((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046)))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -218,17 +219,17 @@
 ((((-169 (-225))) |has| |#1| (-1019)) (((-169 (-379))) |has| |#1| (-1019)) (((-536)) |has| |#1| (-612 (-536))) (((-1166 |#1|)) . T) (((-889 (-564))) |has| |#1| (-612 (-889 (-564)))) (((-889 (-379))) |has| |#1| (-612 (-889 (-379))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#2|) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
-(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-845))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-845))) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#2|) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 (|has| |#1| (-363)) 
 ((((-859)) . T)) 
 ((((-129)) . T)) 
 (-12 (|has| |#4| (-233)) (|has| |#4| (-1046))) 
 (-12 (|has| |#3| (-233)) (|has| |#3| (-1046))) 
-(-4012 (|has| |#4| (-172)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#4| (-172)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-1175)) . T)) 
@@ -237,14 +238,14 @@
 (((|#1|) . T)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) |has| |#1| (-1035 (-564))) ((|#1|) . T)) 
 (((|#1|) . T) (((-564)) |has| |#1| (-637 (-564)))) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-(((|#1|) . T) (((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+(((|#1|) . T) (((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (|has| |#1| (-556)) 
-((((-564)) -4012 (|has| |#4| (-172)) (|has| |#4| (-845)) (-12 (|has| |#4| (-1035 (-564))) (|has| |#4| (-1094))) (|has| |#4| (-1046))) ((|#4|) -4012 (|has| |#4| (-172)) (|has| |#4| (-1094))) (((-407 (-564))) -12 (|has| |#4| (-1035 (-407 (-564)))) (|has| |#4| (-1094)))) 
-((((-564)) -4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (-12 (|has| |#3| (-1035 (-564))) (|has| |#3| (-1094))) (|has| |#3| (-1046))) ((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-1094))) (((-407 (-564))) -12 (|has| |#3| (-1035 (-407 (-564)))) (|has| |#3| (-1094)))) 
+((((-564)) -2713 (|has| |#4| (-172)) (|has| |#4| (-845)) (-12 (|has| |#4| (-1035 (-564))) (|has| |#4| (-1094))) (|has| |#4| (-1046))) ((|#4|) -2713 (|has| |#4| (-172)) (|has| |#4| (-1094))) (((-407 (-564))) -12 (|has| |#4| (-1035 (-407 (-564)))) (|has| |#4| (-1094)))) 
+((((-564)) -2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (-12 (|has| |#3| (-1035 (-564))) (|has| |#3| (-1094))) (|has| |#3| (-1046))) ((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-1094))) (((-407 (-564))) -12 (|has| |#3| (-1035 (-407 (-564)))) (|has| |#3| (-1094)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (|has| |#1| (-556)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 (((|#1|) . T)) 
 (|has| |#1| (-556)) 
 (|has| |#1| (-556)) 
@@ -255,21 +256,21 @@
 (((|#2|) . T) (($) . T) (((-407 (-564))) . T)) 
 (-12 (|has| |#1| (-1094)) (|has| |#2| (-1094))) 
 ((($) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) . T)) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) (($) . T)) 
-(((|#4| |#4|) -4012 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046))) (($ $) |has| |#4| (-172))) 
-(((|#3| |#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($ $) |has| |#3| (-172))) 
+(((|#4| |#4|) -2713 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046))) (($ $) |has| |#4| (-172))) 
+(((|#3| |#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($ $) |has| |#3| (-172))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 ((((-536)) |has| |#2| (-612 (-536))) (((-889 (-379))) |has| |#2| (-612 (-889 (-379)))) (((-889 (-564))) |has| |#2| (-612 (-889 (-564))))) 
 ((((-859)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
-((((-2 (|:| -3338 |#1|) (|:| -3078 |#2|))) . T) (((-859)) . T)) 
+((((-2 (|:| -1359 |#1|) (|:| -2954 |#2|))) . T) (((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536))) (((-889 (-379))) |has| |#1| (-612 (-889 (-379)))) (((-889 (-564))) |has| |#1| (-612 (-889 (-564))))) 
-(((|#4|) -4012 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046))) (($) |has| |#4| (-172))) 
-(((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($) |has| |#3| (-172))) 
-((((-2 (|:| -3338 |#1|) (|:| -3078 |#2|))) . T)) 
+(((|#4|) -2713 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046))) (($) |has| |#4| (-172))) 
+(((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($) |has| |#3| (-172))) 
+((((-2 (|:| -1359 |#1|) (|:| -2954 |#2|))) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-536)) . T) (((-564)) . T) (((-889 (-564))) . T) (((-379)) . T) (((-225)) . T)) 
@@ -277,14 +278,14 @@
 (((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564))))) 
 ((($) . T) (((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T)) 
 ((((-407 $) (-407 $)) |has| |#2| (-556)) (($ $) . T) ((|#2| |#2|) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))) . T)) 
 (((|#1|) . T)) 
 (|has| |#2| (-906)) 
 ((((-1152) (-52)) . T)) 
 ((((-564)) |has| #0=(-407 |#2|) (-637 (-564))) ((#0#) . T)) 
 ((((-536)) . T) (((-225)) . T) (((-379)) . T) (((-889 (-379))) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1| $) |has| |#1| (-286 |#1| |#1|))) 
 ((((-859)) . T)) 
@@ -296,15 +297,15 @@
 (((|#2|) . T) (((-564)) . T) (((-816 |#1|)) . T)) 
 (|has| |#1| (-1094)) 
 (((|#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
 ((((-859)) . T) (((-1175)) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 ((((-1175)) . T)) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (|has| |#1| (-233)) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1| (-531 (-815 (-1170)))) . T)) 
 (((|#1| (-968)) . T)) 
 (((#0=(-867 |#1|) $) |has| #0# (-286 #0# #0#))) 
@@ -313,7 +314,7 @@
 (((|#1|) . T)) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-1145)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (|has| (-1245 |#1| |#2| |#3| |#4|) (-145)) 
 (|has| (-1245 |#1| |#2| |#3| |#4|) (-147)) 
 (|has| |#1| (-145)) 
@@ -325,27 +326,27 @@
 (((|#2|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T) (((-564)) |has| |#2| (-637 (-564)))) 
-((((-1119 |#1| (-1170))) . T) (((-564)) . T) (((-815 (-1170))) . T) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-1170)) . T)) 
+((((-1119 |#1| (-1170))) . T) (((-564)) . T) (((-815 (-1170))) . T) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-1170)) . T)) 
 (|has| |#2| (-368)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((($) . T) ((|#1|) . T)) 
 (((|#2|) |has| |#2| (-1046))) 
 ((((-859)) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) #0#) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
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+((((-1259 (-339 (-1732) (-1732 (QUOTE X)) (-695)))) . T)) 
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 ((((-859)) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-536)) -12 (|has| |#1| (-612 (-536))) (|has| |#2| (-612 (-536)))) (((-889 (-379))) -12 (|has| |#1| (-612 (-889 (-379)))) (|has| |#2| (-612 (-889 (-379))))) (((-889 (-564))) -12 (|has| |#1| (-612 (-889 (-564)))) (|has| |#2| (-612 (-889 (-564)))))) 
 ((($) . T)) 
 ((((-859)) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
 ((((-859)) . T)) 
 ((($) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (|has| (-1244 |#2| |#3| |#4|) (-147)) 
@@ -356,16 +357,16 @@
 ((((-859)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
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 (((|#1|) . T)) 
 ((((-564) |#1|) . T)) 
 (((|#2|) |has| |#2| (-172))) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
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 ((((-859)) |has| |#1| (-1094))) 
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+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 ((((-907 |#1|)) . T)) 
 ((((-407 |#2|) |#3|) . T)) 
 (|has| |#1| (-15 * (|#1| (-564) |#1|))) 
@@ -377,7 +378,7 @@
 (((|#1|) . T)) 
 ((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556))) 
 (|has| |#1| (-363)) 
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 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) 
 (|has| |#1| (-363)) 
 ((((-564)) . T)) 
@@ -390,35 +391,35 @@
 ((((-564) |#1|) . T)) 
 ((((-859)) . T)) 
 (((|#2|) . T)) 
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 ((((-564)) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556))) 
 ((($) |has| |#1| (-556)) (((-564)) . T)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
-((((-1251 |#1| |#2| |#3|)) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) ((|#1|) |has| |#1| (-172))) 
-((((-1255 |#2|)) . T) (((-1251 |#1| |#2| |#3|)) . T) (((-1223 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
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+((((-1255 |#2|)) . T) (((-1251 |#1| |#2| |#3|)) . T) (((-1223 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
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 (((|#1|) . T)) 
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 ((($ $) |has| |#1| (-556))) 
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+(((|#1| |#1|) . T) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((#0=(-407 (-564)) #0#) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
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+(((|#1|) . T) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
 (((|#3|) |has| |#3| (-1046))) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-556))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
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 (|has| |#1| (-1094)) 
 (((|#2| (-816 |#1|)) . T)) 
 (((|#1|) . T)) 
@@ -431,39 +432,39 @@
 ((((-144)) . T)) 
 (((|#3|) |has| |#3| (-1094)) (((-564)) -12 (|has| |#3| (-1035 (-564))) (|has| |#3| (-1094))) (((-407 (-564))) -12 (|has| |#3| (-1035 (-407 (-564)))) (|has| |#3| (-1094)))) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
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 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 (|has| |#1| (-363)) 
 ((((-1175)) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
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 ((((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((|#1| |#1|) |has| |#1| (-309 |#1|))) 
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 (|has| |#1| (-845)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
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 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
 (((|#1| |#2|) . T)) 
 ((((-1170)) -12 (|has| |#1| (-363)) (|has| |#1| (-897 (-1170))))) 
 ((((-1152) |#1|) . T)) 
 (((|#1| |#2| |#3| (-531 |#3|)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
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 ((((-564)) . T)) 
 ((((-564)) . T)) 
 (((|#1|) . T) (((-564)) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
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 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (((-564)) . T) (($) . T)) 
@@ -474,10 +475,10 @@
 ((((-564) |#4|) . T)) 
 ((((-564) |#3|) . T)) 
 (((|#1|) . T) (((-564)) |has| |#1| (-637 (-564)))) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-1245 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#1| |#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
@@ -488,7 +489,7 @@
 ((((-564)) . T)) 
 ((($) . T) (((-564)) . T) (((-407 (-564))) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
-((((-564)) -4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (-12 (|has| |#2| (-1035 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-1046))) ((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-1094))) (((-407 (-564))) -12 (|has| |#2| (-1035 (-407 (-564)))) (|has| |#2| (-1094)))) 
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 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -507,45 +508,45 @@
 ((($) . T)) 
 ((($ $) . T) ((#0=(-1170) $) . T) ((#0# |#1|) . T)) 
 (((|#2|) |has| |#2| (-172))) 
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 ((((-144)) . T)) 
 (((|#1|) . T)) 
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 (((|#1|) . T)) 
 ((((-859)) . T)) 
 (|has| |#1| (-1094)) 
 (|has| $ (-147)) 
 ((((-1175)) . T)) 
 ((((-564) |#1|) . T)) 
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 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) (|has| |#1| (-897 (-1170))))) 
 (|has| |#1| (-363)) 
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 (|has| |#1| (-363)) 
 (|has| |#1| (-15 * (|#1| (-768) |#1|))) 
 (((|#1|) . T)) 
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 (((|#2| (-531 (-861 |#1|))) . T)) 
 ((((-859)) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1|) . T)) 
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 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
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@@ -690,34 +691,34 @@
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 ((((-859)) . T)) 
 ((((-1245 |#1| |#2| |#3| |#4|)) . T)) 
 (((|#1|) |has| |#1| (-1046)) (((-564)) -12 (|has| |#1| (-637 (-564))) (|has| |#1| (-1046)))) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
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 (|has| |#3| (-790)) 
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+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 (|has| |#3| (-845)) 
 (((|#1|) . T)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#2|) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
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+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 (((|#2|) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -732,22 +733,22 @@
 (|has| |#1| (-1094)) 
 (((|#2|) . T)) 
 ((((-536)) |has| |#2| (-612 (-536))) (((-889 (-379))) |has| |#2| (-612 (-889 (-379)))) (((-889 (-564))) |has| |#2| (-612 (-889 (-564))))) 
-(((|#4|) -4012 (|has| |#4| (-172)) (|has| |#4| (-363)))) 
-(((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
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+(((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-906))) 
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+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-906))) 
 ((($ $) . T) ((#0=(-1170) $) |has| |#1| (-233)) ((#0# |#1|) |has| |#1| (-233)) ((#1=(-815 (-1170)) |#1|) . T) ((#1# $) . T)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-906))) 
 ((((-564) |#2|) . T)) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
-((($) -4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) ((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046)))) 
+((($) -2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) ((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046)))) 
 ((((-564) |#1|) . T)) 
 (|has| (-407 |#2|) (-147)) 
 (|has| (-407 |#2|) (-145)) 
@@ -760,15 +761,15 @@
 (|has| |#1| (-556)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
-((((-388) (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-388) (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#2| (-1145)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
@@ -786,7 +787,7 @@
 ((((-388) (-1152)) . T)) 
 (|has| |#1| (-556)) 
 ((((-564) |#1|) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
 (((|#2|) . T)) 
@@ -802,7 +803,7 @@
 ((((-641 |#1|)) . T)) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 (((|#2|) |has| |#2| (-309 |#2|))) 
 (((#0=(-564) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) 
 (((|#1|) . T)) 
@@ -812,7 +813,7 @@
 (((#0=(-564) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) 
 ((($) . T) (((-564)) . T) (((-407 (-564))) . T)) 
 (|has| |#2| (-368)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
@@ -826,8 +827,8 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-((($) . T) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((($) . T) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
 ((($ $) . T)) 
 ((((-859)) . T)) 
 ((($ $) . T)) 
@@ -837,12 +838,12 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
 ((((-564) (-144)) . T)) 
 ((((-144)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
 ((((-112)) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((((-112)) . T)) 
@@ -851,26 +852,26 @@
 ((((-859)) . T)) 
 ((((-1175)) . T)) 
 (|has| |#1| (-817)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (|has| |#1| (-847)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 (|has| |#1| (-556)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) ((|#1|) . T) (((-564)) . T)) 
 (|has| |#1| (-906)) 
 (((|#1|) . T)) 
 (|has| |#1| (-1094)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
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+(-2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1| (-1259 |#1|) (-1259 |#1|)) . T)) 
 ((((-564) (-144)) . T)) 
 ((($) . T)) 
-(-4012 (|has| |#4| (-172)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
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+(-2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-1175)) . T) (((-859)) . T)) 
 ((((-1175)) . T)) 
 ((((-859)) . T)) 
@@ -878,14 +879,14 @@
 (((|#1| (-968)) . T)) 
 (((|#1| |#1|) . T)) 
 ((($) . T)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
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+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 (-12 (|has| |#1| (-473)) (|has| |#2| (-473))) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
-(-4012 (-12 (|has| |#1| (-473)) (|has| |#2| (-473))) (-12 (|has| |#1| (-723)) (|has| |#2| (-723)))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (-12 (|has| |#1| (-473)) (|has| |#2| (-473))) (-12 (|has| |#1| (-723)) (|has| |#2| (-723)))) 
 (((|#1|) . T)) 
 (|has| |#2| (-790)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 (((|#1| |#2|) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (|has| |#2| (-845)) 
@@ -901,8 +902,8 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
-((($) |has| |#1| (-556)) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-564)) . T)) 
-((($) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) . T)) 
+((($) |has| |#1| (-556)) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-564)) . T)) 
+((($) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) . T)) 
 (|has| |#1| (-825)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) |has| |#1| (-1035 (-564))) ((|#1|) . T)) 
 (|has| |#1| (-1094)) 
@@ -913,30 +914,30 @@
 (((|#3|) |has| |#3| (-1094))) 
 (|has| |#3| (-368)) 
 (((|#1|) . T) (((-859)) . T)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1251 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1251 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#2|) . T)) 
-(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1| |#1|) |has| |#1| (-172))) 
 (|has| |#2| (-363)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-556))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-556))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-556))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-556))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 ((((-144)) . T)) 
 (((|#1|) . T)) 
-((($) -4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) ((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046)))) 
+((($) -2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) ((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046)))) 
 ((((-144)) . T)) 
 ((((-144)) . T)) 
 ((((-407 (-564))) . #0=(|has| |#2| (-363))) (($) . #0#) ((|#2|) . T) (((-564)) . T)) 
 (((|#1| |#2| |#3|) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
 (|has| $ (-147)) 
 (|has| $ (-147)) 
 ((((-1175)) . T)) 
@@ -944,14 +945,14 @@
 ((((-859)) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-473)) (|has| |#1| (-556)) (|has| |#1| (-1046)) (|has| |#1| (-1106))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-473)) (|has| |#1| (-556)) (|has| |#1| (-1046)) (|has| |#1| (-1106))) 
 ((($ $) |has| |#1| (-286 $ $)) ((|#1| $) |has| |#1| (-286 |#1| |#1|))) 
 (((|#1| (-407 (-564))) . T)) 
 (((|#1|) . T)) 
 ((((-1170)) . T)) 
 (|has| |#1| (-556)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 (|has| |#1| (-556)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
@@ -962,7 +963,7 @@
 (|has| |#1| (-147)) 
 (|has| |#1| (-145)) 
 (|has| |#4| (-845)) 
-(((|#2| (-240 (-2779 |#1|) (-768)) (-861 |#1|)) . T)) 
+(((|#2| (-240 (-3435 |#1|) (-768)) (-861 |#1|)) . T)) 
 (|has| |#3| (-845)) 
 (((|#1| (-531 |#3|) |#3|) . T)) 
 (|has| |#1| (-147)) 
@@ -977,20 +978,20 @@
 (|has| |#1| (-145)) 
 ((((-407 (-564))) |has| |#2| (-363)) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-349)) (|has| |#1| (-368))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#1| (-349)) (|has| |#1| (-368))) 
 ((((-1136 |#2| |#1|)) . T) ((|#1|) . T)) 
 (|has| |#2| (-172)) 
 (((|#1| |#2|) . T)) 
 (-12 (|has| |#2| (-233)) (|has| |#2| (-1046))) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-(-4012 (|has| |#3| (-790)) (|has| |#3| (-845))) 
-(-4012 (|has| |#3| (-790)) (|has| |#3| (-845))) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T) (($) . T)) 
 ((((-695)) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (|has| |#1| (-556)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -1014,11 +1015,11 @@
 (((|#1| (-407 (-564))) . T)) 
 (((|#3|) . T) (((-610 $)) . T)) 
 (((|#1| |#2|) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-564)) -4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (-12 (|has| |#2| (-1035 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-1046))) ((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-1094))) (((-407 (-564))) -12 (|has| |#2| (-1035 (-407 (-564)))) (|has| |#2| (-1094)))) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-564)) -2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (-12 (|has| |#2| (-1035 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-1046))) ((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-1094))) (((-407 (-564))) -12 (|has| |#2| (-1035 (-407 (-564)))) (|has| |#2| (-1094)))) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 ((($ $) . T) ((|#2| $) . T)) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
@@ -1026,8 +1027,8 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1| |#1|) . T)) 
-(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
-(((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) (((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) |has| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (-309 (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))))) 
+(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
+(((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) (((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) |has| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (-309 (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
 (((|#3| |#3|) . T)) 
@@ -1038,10 +1039,10 @@
 ((($ $) . T) ((#0=(-861 |#1|) $) . T) ((#0# |#2|) . T)) 
 (|has| |#1| (-825)) 
 (|has| |#1| (-1094)) 
-(((|#2| |#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($ $) |has| |#2| (-172))) 
-(((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
-((((-564) (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T) ((|#1| |#2|) . T)) 
-(((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($) |has| |#2| (-172))) 
+(((|#2| |#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($ $) |has| |#2| (-172))) 
+(((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
+((((-564) (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T) ((|#1| |#2|) . T)) 
+(((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($) |has| |#2| (-172))) 
 ((((-1175)) . T)) 
 ((((-768)) . T)) 
 (|has| |#1| (-556)) 
@@ -1055,31 +1056,31 @@
 ((((-116 |#1|)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-147)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 ((((-889 (-564))) . T) (((-889 (-379))) . T) (((-536)) . T) (((-1170)) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-1175)) . T)) 
 ((($) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
 (((|#2|) |has| |#2| (-172))) 
-((($) -4012 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) ((|#2|) |has| |#2| (-172)) (((-407 (-564))) |has| |#2| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) ((|#2|) |has| |#2| (-172)) (((-407 (-564))) |has| |#2| (-38 (-407 (-564))))) 
 ((((-867 |#1|)) . T)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
 (-12 (|has| |#3| (-233)) (|has| |#3| (-1046))) 
 (|has| |#2| (-1145)) 
-(((#0=(-52)) . T) (((-2 (|:| -1350 (-1170)) (|:| -2575 #0#))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -2381 (-1170)) (|:| -3096 #0#))) . T)) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 (((|#1| (-564) (-1076)) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1| (-407 (-564)) (-1076)) . T)) 
-((($) -4012 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+((($) -2713 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
 ((((-564) |#2|) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1| |#2|) . T)) 
@@ -1087,39 +1088,39 @@
 (-12 (|has| |#1| (-368)) (|has| |#2| (-368))) 
 ((((-859)) . T)) 
 ((((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((|#1| |#1|) |has| |#1| (-309 |#1|))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (((|#1|) . T)) 
 ((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556))) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
-(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#4|) . T)) 
 (|has| |#1| (-349)) 
-((((-564)) -4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (-12 (|has| |#3| (-1035 (-564))) (|has| |#3| (-1094))) (|has| |#3| (-1046))) ((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-1094))) (((-407 (-564))) -12 (|has| |#3| (-1035 (-407 (-564)))) (|has| |#3| (-1094)))) 
+((((-564)) -2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (-12 (|has| |#3| (-1035 (-564))) (|has| |#3| (-1094))) (|has| |#3| (-1046))) ((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-1094))) (((-407 (-564))) -12 (|has| |#3| (-1035 (-407 (-564)))) (|has| |#3| (-1094)))) 
 (((|#1|) . T)) 
 (((|#4|) . T) (((-859)) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) #0#) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) #0#) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 (|has| |#1| (-556)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((((-859)) . T)) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-906))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-906))) 
 ((((-407 (-564))) . T) (((-564)) . T)) 
 ((((-564)) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 ((($) . T)) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
 ((((-867 |#1|)) . T) (($) . T) (((-407 (-564))) . T)) 
 ((((-859)) . T)) 
-(((|#3| |#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($ $) |has| |#3| (-172))) 
+(((|#3| |#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($ $) |has| |#3| (-172))) 
 (|has| |#1| (-1019)) 
 ((((-859)) . T)) 
-(((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($) |has| |#3| (-172))) 
+(((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046))) (($) |has| |#3| (-172))) 
 ((((-564) (-112)) . T)) 
 ((((-1175)) . T)) 
 (((|#1|) |has| |#1| (-309 |#1|))) 
@@ -1129,11 +1130,11 @@
 (|has| |#1| (-368)) 
 ((((-1170) $) |has| |#1| (-514 (-1170) $)) (($ $) |has| |#1| (-309 $)) ((|#1| |#1|) |has| |#1| (-309 |#1|)) (((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|))) 
 ((((-1170)) |has| |#1| (-897 (-1170)))) 
-(-4012 (-12 (|has| |#1| (-233)) (|has| |#1| (-363))) (|has| |#1| (-349))) 
+(-2713 (-12 (|has| |#1| (-233)) (|has| |#1| (-363))) (|has| |#1| (-349))) 
 (((|#1| |#4|) . T)) 
 (((|#1| |#3|) . T)) 
 ((((-388) |#1|) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 (|has| |#1| (-1094)) 
 (((|#2|) . T) (((-859)) . T)) 
 ((((-859)) . T)) 
@@ -1141,8 +1142,8 @@
 ((((-907 |#1|)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-1175)) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
-((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
@@ -1151,16 +1152,16 @@
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
 (((|#1| |#1|) . T)) 
 (((#0=(-867 |#1|)) |has| #0# (-309 #0#))) 
-((((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-1035 (-407 (-564))))) ((|#1|) . T)) 
+((((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-1035 (-407 (-564))))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 (((|#1|) . T)) 
 (-12 (|has| |#1| (-790)) (|has| |#2| (-790))) 
 (-12 (|has| |#1| (-790)) (|has| |#2| (-790))) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (((|#2|) . T) (($) . T)) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (|has| |#1| (-1194)) 
 (((#0=(-564) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
@@ -1171,8 +1172,8 @@
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 (|has| |#1| (-363)) 
 ((((-564)) . T) (((-407 (-564))) . T) (($) . T)) 
-((($ $) . T) ((#0=(-407 (-564)) #0#) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1| |#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((($ $) . T) ((#0=(-407 (-564)) #0#) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1| |#1|) . T)) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -1187,14 +1188,14 @@
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-845)) 
 (|has| |#1| (-845)) 
-((($) . T) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+((($) . T) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 ((($) . T)) 
-(((#0=(-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) #0#) |has| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))))) 
+(((#0=(-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) #0#) |has| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (-309 (-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))))) 
 (|has| |#2| (-847)) 
 ((($) . T)) 
 (((|#2|) |has| |#2| (-1094))) 
-((((-859)) -4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-611 (-859))) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) (((-1259 |#2|)) . T)) 
+((((-859)) -2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-611 (-859))) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) (((-1259 |#2|)) . T)) 
 (|has| |#1| (-847)) 
 (|has| |#1| (-847)) 
 ((((-1152) (-52)) . T)) 
@@ -1203,10 +1204,10 @@
 ((((-564)) |has| #0=(-407 |#2|) (-637 (-564))) ((#0#) . T)) 
 ((($) . T) (((-564)) . T)) 
 ((((-564) (-144)) . T)) 
-((((-564) (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T) ((|#1| |#2|) . T)) 
+((((-564) (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T) ((|#1| |#2|) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-859)) . T)) 
 ((((-907 |#1|)) . T)) 
 (|has| |#1| (-363)) 
@@ -1233,21 +1234,21 @@
 ((((-859)) . T)) 
 ((($) . T)) 
 (((|#2|) . T) (($) . T)) 
-((((-564) (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T) ((|#1| |#2|) . T)) 
+((((-564) (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T) ((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#3|) . T)) 
 (((|#1|) |has| |#1| (-172))) 
-((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
+((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906)))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-536)) |has| |#1| (-612 (-536))) (((-889 (-379))) |has| |#1| (-612 (-889 (-379)))) (((-889 (-564))) |has| |#1| (-612 (-889 (-564))))) 
 ((((-859)) . T)) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-506)) . T)) 
 (|has| |#2| (-845)) 
 ((((-506)) . T)) 
@@ -1255,39 +1256,39 @@
 (|has| |#1| (-556)) 
 ((((-1152) |#1|) . T)) 
 (|has| |#1| (-1145)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-955 |#1|)) . T)) 
-(((#0=(-407 (-564)) #0#) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1| |#1|) . T)) 
+(((#0=(-407 (-564)) #0#) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1| |#1|) . T)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-564))) (((-564)) |has| |#1| (-1035 (-564))) (((-1170)) |has| |#1| (-1035 (-1170))) ((|#1|) . T)) 
 ((((-564) |#2|) . T)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) |has| |#1| (-1035 (-564))) ((|#1|) . T)) 
 ((((-564)) |has| |#1| (-883 (-564))) (((-379)) |has| |#1| (-883 (-379)))) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1|) . T)) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-641 |#4|)) . T) (((-859)) . T)) 
 ((((-536)) |has| |#4| (-612 (-536)))) 
 ((((-536)) |has| |#4| (-612 (-536)))) 
 ((((-859)) . T) (((-641 |#4|)) . T)) 
 ((($) |has| |#1| (-845))) 
-((((-564)) -4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (-12 (|has| |#2| (-1035 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-1046))) ((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-1094))) (((-407 (-564))) -12 (|has| |#2| (-1035 (-407 (-564)))) (|has| |#2| (-1094)))) 
+((((-564)) -2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (-12 (|has| |#2| (-1035 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-1046))) ((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-1094))) (((-407 (-564))) -12 (|has| |#2| (-1035 (-407 (-564)))) (|has| |#2| (-1094)))) 
 (((|#1|) . T)) 
 ((((-641 |#4|)) . T) (((-859)) . T)) 
 ((((-536)) |has| |#4| (-612 (-536)))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 ((((-1170)) |has| (-407 |#2|) (-897 (-1170)))) 
-(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) #0#) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) #0#) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 ((($) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
-((((-859)) -4012 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-611 (-859))) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-368)) (|has| |#3| (-723)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046)) (|has| |#3| (-1094))) (((-1259 |#3|)) . T)) 
+((((-859)) -2713 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-611 (-859))) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-368)) (|has| |#3| (-723)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046)) (|has| |#3| (-1094))) (((-1259 |#3|)) . T)) 
 ((((-564) |#2|) . T)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
-(((|#2| |#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($ $) |has| |#2| (-172))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(((|#2| |#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($ $) |has| |#2| (-172))) 
 (((|#2|) . T) (((-564)) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T) ((|#2|) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T) ((|#2|) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-1152) (-1170) (-564) (-225) (-859)) . T)) 
@@ -1322,8 +1323,8 @@
 (|has| |#1| (-38 (-407 (-564)))) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-(((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($) |has| |#2| (-172))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+(((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-1046))) (($) |has| |#2| (-172))) 
 (|has| $ (-147)) 
 ((((-407 |#2|)) . T)) 
 ((((-890 |#1|)) . T) ((|#2|) . T) (((-564)) . T) (((-816 |#1|)) . T)) 
@@ -1335,11 +1336,11 @@
 (((|#3|) |has| |#3| (-172))) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-145)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
 (((|#1|) . T)) 
 (|has| |#2| (-233)) 
@@ -1376,7 +1377,7 @@
 ((((-996 |#1|)) . T) ((|#1|) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-407 (-564))) . T) (((-407 |#1|)) . T) ((|#1|) . T) (($) . T)) 
 (((|#1| (-1166 |#1|)) . T)) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
@@ -1384,9 +1385,9 @@
 (|has| |#1| (-847)) 
 (((|#2|) . T)) 
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 ((((-564) |#2|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#2|) . T)) 
 ((((-564) |#3|) . T)) 
 (((|#2|) . T)) 
@@ -1399,7 +1400,7 @@
 (|has| |#1| (-1094)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) #0#) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) #0#) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (((|#2|) . T)) 
@@ -1434,19 +1435,19 @@
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1| |#2|) . T)) 
 ((((-564) (-144)) . T)) 
-(((#0=(-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) #0#) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+(((#0=(-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) #0#) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (|has| |#1| (-847)) 
 (((|#2| (-768) (-1076)) . T)) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 (|has| |#1| (-788)) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#4|) . T)) 
 (((|#4|) . T)) 
 (((|#1| |#2|) . T)) 
-(-4012 (|has| |#1| (-147)) (-12 (|has| |#1| (-363)) (|has| |#2| (-147)))) 
-(-4012 (|has| |#1| (-145)) (-12 (|has| |#1| (-363)) (|has| |#2| (-145)))) 
+(-2713 (|has| |#1| (-147)) (-12 (|has| |#1| (-363)) (|has| |#2| (-147)))) 
+(-2713 (|has| |#1| (-145)) (-12 (|has| |#1| (-363)) (|has| |#2| (-145)))) 
 (((|#4|) . T)) 
 (|has| |#1| (-145)) 
 ((((-1152) |#1|) . T)) 
@@ -1460,10 +1461,10 @@
 (((|#3|) . T)) 
 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 (((|#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094))) (((-955 |#1|)) . T)) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094))) (((-955 |#1|)) . T)) 
 (|has| |#1| (-845)) 
 (|has| |#1| (-845)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
@@ -1477,8 +1478,8 @@
 ((($) . T)) 
 ((((-388) (-1152)) . T)) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((((-859)) -4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-611 (-859))) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) (((-1259 |#2|)) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -1350 (-1152)) (|:| -2575 #0#))) . T)) 
+((((-859)) -2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-611 (-859))) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) (((-1259 |#2|)) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -2381 (-1152)) (|:| -3096 #0#))) . T)) 
 (((|#1|) . T)) 
 ((((-859)) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
@@ -1486,7 +1487,7 @@
 (|has| |#2| (-145)) 
 (|has| |#2| (-147)) 
 (|has| |#1| (-473)) 
-(-4012 (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
+(-2713 (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
 (|has| |#1| (-363)) 
 ((((-859)) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
@@ -1497,8 +1498,8 @@
 (|has| |#1| (-845)) 
 ((((-859)) . T)) 
 (((|#2|) . T)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1251 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
-(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1251 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#2|) . T) (((-564)) . T) (((-816 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
@@ -1507,7 +1508,7 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (|has| |#1| (-1094)) 
-(((|#2| (-482 (-2779 |#1|) (-768)) (-861 |#1|)) . T)) 
+(((|#2| (-482 (-3435 |#1|) (-768)) (-861 |#1|)) . T)) 
 ((((-407 (-564))) . #0=(|has| |#2| (-363))) (($) . #0#)) 
 (((|#1| (-531 (-1170)) (-1170)) . T)) 
 (((|#1|) . T)) 
@@ -1527,16 +1528,16 @@
 (|has| |#1| (-147)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-(((|#1|) . T) (((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+(((|#1|) . T) (((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((((-1168 |#1| |#2| |#3|)) |has| |#1| (-363))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-1170) (-52)) . T)) 
 ((($ $) . T)) 
 (((|#1| (-564)) . T)) 
 ((((-907 |#1|)) . T)) 
-(((|#1|) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046))) (($) -4012 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)))) 
+(((|#1|) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046))) (($) -2713 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)))) 
 (((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564))))) 
 (|has| |#1| (-847)) 
 (|has| |#1| (-847)) 
@@ -1555,11 +1556,11 @@
 (((|#4| |#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) 
 (|has| |#2| (-847)) 
 (|has| |#1| (-847)) 
-(((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
-(-4012 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-906))) 
+(((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
+(-2713 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-906))) 
 ((($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 ((((-564) |#2|) . T)) 
-(((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
+(((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
 (|has| |#1| (-349)) 
 (((|#3| |#3|) -12 (|has| |#3| (-309 |#3|)) (|has| |#3| (-1094)))) 
 (((|#2|) . T) (((-564)) . T)) 
@@ -1568,7 +1569,7 @@
 (|has| |#1| (-817)) 
 (|has| |#1| (-817)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
 (|has| |#1| (-845)) 
 (|has| |#1| (-845)) 
 (|has| |#1| (-845)) 
@@ -1577,13 +1578,13 @@
 ((((-564)) . T) (($) . T) (((-407 (-564))) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-1170)) |has| |#1| (-897 (-1170))) (((-1076)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-845)) 
-(((#0=(-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) #0#) |has| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))))) 
+(((#0=(-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) #0#) |has| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (-309 (-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (|has| |#1| (-1094)) 
 ((((-859)) . T) (((-1175)) . T)) 
@@ -1602,11 +1603,11 @@
 (((|#1| (-768) (-1076)) . T)) 
 (((|#3|) . T)) 
 ((((-144)) . T)) 
-((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) -4012 (|has| |#1| (-845)) (|has| |#1| (-1035 (-564)))) ((|#1|) . T)) 
+((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) -2713 (|has| |#1| (-845)) (|has| |#1| (-1035 (-564)))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-144)) . T)) 
 (((|#2|) |has| |#2| (-172))) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
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 (((|#1|) . T)) 
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
@@ -1629,32 +1630,32 @@
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
-(((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((#0=(-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) #0#) |has| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (-309 (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))))) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
+(((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((#0=(-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) #0#) |has| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (-309 (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-906))) 
 (((|#1|) . T) (($) . T)) 
 (((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
+(((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)))) 
 (|has| |#1| (-847)) 
 (|has| |#1| (-556)) 
 ((((-581 |#1|)) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
-(-4012 (-12 (|has| |#1| (-363)) (|has| |#2| (-817))) (-12 (|has| |#1| (-363)) (|has| |#2| (-847)))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (-12 (|has| |#1| (-363)) (|has| |#2| (-817))) (-12 (|has| |#1| (-363)) (|has| |#2| (-847)))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 ((((-907 |#1|)) . T)) 
 (((|#1| (-496 |#1| |#3|) (-496 |#1| |#2|)) . T)) 
 (((|#1| |#4| |#5|) . T)) 
 (((|#1| (-768)) . T)) 
 ((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556))) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
-(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-1168 |#1| |#2| |#3|)) |has| |#1| (-363)) ((|#1|) |has| |#1| (-172))) 
+(((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((((-407 |#2|)) . T) (((-407 (-564))) . T) (($) . T)) 
 ((((-668 |#1|)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
@@ -1663,7 +1664,7 @@
 ((((-859)) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((((-859)) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 ((((-1175)) . T)) 
 ((((-407 (-564))) . T) (($) . T) (((-407 |#1|)) . T) ((|#1|) . T) (((-564)) . T)) 
 (((|#3|) . T) (((-564)) . T) (((-610 $)) . T)) 
@@ -1671,12 +1672,12 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#2|) . T)) 
-(-4012 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-368)) (|has| |#3| (-723)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046)) (|has| |#3| (-1094))) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-368)) (|has| |#3| (-723)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046)) (|has| |#3| (-1094))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) |has| |#1| (-1035 (-564))) ((|#1|) . T)) 
 (|has| |#1| (-1194)) 
 (|has| |#1| (-1194)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
 (|has| |#1| (-1194)) 
 (|has| |#1| (-1194)) 
 (((|#3| |#3|) . T)) 
@@ -1689,16 +1690,16 @@
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 ((((-1152) (-52)) . T)) 
 (|has| |#1| (-1094)) 
-(-4012 (|has| |#2| (-817)) (|has| |#2| (-847))) 
+(-2713 (|has| |#2| (-817)) (|has| |#2| (-847))) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-172)) (($) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
 ((($) . T)) 
 ((((-1168 |#1| |#2| |#3|)) -12 (|has| (-1168 |#1| |#2| |#3|) (-309 (-1168 |#1| |#2| |#3|))) (|has| |#1| (-363)))) 
 ((((-859)) . T)) 
 ((((-564)) . T) (($) . T)) 
 ((((-768)) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((((-859)) . T)) 
 ((($) . T) (((-564)) . T)) 
@@ -1706,30 +1707,30 @@
 (|has| |#2| (-906)) 
 (|has| |#1| (-363)) 
 (((|#2|) |has| |#2| (-1094))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 ((((-536)) . T) (((-407 (-1166 (-564)))) . T) (((-225)) . T) (((-379)) . T)) 
 ((((-379)) . T) (((-225)) . T) (((-859)) . T)) 
 (|has| |#1| (-906)) 
 (|has| |#1| (-906)) 
 (|has| |#1| (-906)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-906))) 
 ((($) . T) ((|#2|) . T)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-906))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 ((($ $) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((($ $) . T)) 
 ((((-564) (-112)) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-564)) . T)) 
 ((((-112)) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (((|#1| (-564)) . T)) 
 ((($) . T)) 
@@ -1751,7 +1752,7 @@
 (((|#1| (-1223 |#1| |#2| |#3|)) . T)) 
 (((|#1| (-768)) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-859)) . T)) 
 (|has| |#1| (-1094)) 
 ((((-1152) |#1|) . T)) 
@@ -1771,18 +1772,18 @@
 (((|#1|) . T)) 
 ((((-564)) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-349))) 
 (|has| |#1| (-147)) 
 ((((-859)) . T)) 
 (((|#3|) . T)) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-859)) . T)) 
 ((((-1244 |#2| |#3| |#4|)) . T) (((-1245 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-859)) . T)) 
-((((-48)) -12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (((-610 $)) . T) ((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) -4012 (-12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-407 (-949 |#1|))) |has| |#1| (-556)) (((-949 |#1|)) |has| |#1| (-1046)) (((-1170)) . T)) 
+((((-48)) -12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (((-610 $)) . T) ((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) -2713 (-12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-407 (-949 |#1|))) |has| |#1| (-556)) (((-949 |#1|)) |has| |#1| (-1046)) (((-1170)) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-768)) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
 (((|#1|) |has| |#1| (-309 |#1|))) 
 ((((-1245 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-564)) |has| |#1| (-883 (-564))) (((-379)) |has| |#1| (-883 (-379)))) 
@@ -1790,7 +1791,7 @@
 (|has| |#1| (-556)) 
 (((|#1|) . T)) 
 ((((-859)) . T)) 
-(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 (((|#1|) |has| |#1| (-172))) 
 ((($) |has| |#1| (-556)) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
@@ -1798,7 +1799,7 @@
 (((|#1|) . T)) 
 (((|#3|) |has| |#3| (-1094))) 
 ((((-907 |#1|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
-(((|#2|) -4012 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
+(((|#2|) -2713 (|has| |#2| (-172)) (|has| |#2| (-363)))) 
 ((((-1244 |#2| |#3| |#4|)) . T)) 
 ((((-112)) . T)) 
 (|has| |#1| (-817)) 
@@ -1808,8 +1809,8 @@
 (|has| |#1| (-845)) 
 (|has| |#1| (-845)) 
 (((|#1| (-564) (-1076)) . T)) 
-(-4012 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+(-2713 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1| (-407 (-564)) (-1076)) . T)) 
 (((|#1| (-768) (-1076)) . T)) 
 (|has| |#1| (-847)) 
@@ -1822,33 +1823,33 @@
 (|has| |#1| (-1094)) 
 ((((-907 |#1|)) . T) (($) . T) (((-407 (-564))) . T)) 
 (|has| |#1| (-1094)) 
-((((-564)) -4012 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)))) 
+((((-564)) -2713 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)))) 
 (((|#1|) . T)) 
 (|has| |#1| (-1094)) 
 ((((-564)) -12 (|has| |#1| (-363)) (|has| |#2| (-637 (-564)))) ((|#2|) |has| |#1| (-363))) 
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-((((-685 (-339 (-3725) (-3725 (QUOTE X) (QUOTE HESS)) (-695)))) . T)) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
+((((-685 (-339 (-1732) (-1732 (QUOTE X) (QUOTE HESS)) (-695)))) . T)) 
 (((|#2|) |has| |#2| (-172))) 
 (((|#1|) |has| |#1| (-172))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 ((((-859)) . T)) 
 (|has| |#3| (-845)) 
 ((((-859)) . T)) 
 ((((-1244 |#2| |#3| |#4|) (-319 |#2| |#3| |#4|)) . T)) 
 ((((-859)) . T)) 
-(((|#1| |#1|) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046)))) 
+(((|#1| |#1|) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046)))) 
 (((|#1|) . T)) 
 ((((-564)) . T)) 
 ((((-564)) . T)) 
-(((|#1|) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046)))) 
+(((|#1|) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-1046)))) 
 (((|#2|) |has| |#2| (-363))) 
 ((($) . T) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-363))) 
 (|has| |#1| (-847)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#2|) . T)) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) |has| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-906))) 
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+(-2713 (|has| |#1| (-452)) (|has| |#1| (-906))) 
 (((|#2|) . T) (((-564)) |has| |#2| (-637 (-564)))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -1879,25 +1880,25 @@
 (|has| |#1| (-145)) 
 ((((-564)) . T) ((|#1|) . T) (($) . T) (((-407 (-564))) . T) (((-1170)) |has| |#1| (-1035 (-1170)))) 
 (((|#1| |#2|) . T)) 
-((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) -4012 (|has| |#1| (-845)) (|has| |#1| (-1035 (-564)))) ((|#1|) . T)) 
+((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) -2713 (|has| |#1| (-845)) (|has| |#1| (-1035 (-564)))) ((|#1|) . T)) 
 ((((-144)) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) . T) (($ $) . T)) 
 (((|#2|) . T) ((|#1|) . T) (((-564)) . T)) 
 ((((-859)) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 ((($) . T) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
 (|has| (-407 |#2|) (-233)) 
 ((((-641 |#1|)) . T)) 
 (|has| |#1| (-906)) 
 (((|#2|) |has| |#2| (-1046))) 
-(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 (|has| |#1| (-363)) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1| |#1|) . T)) 
@@ -1924,7 +1925,7 @@
 (((|#1| (-407 (-564)) (-1076)) . T)) 
 (((|#1| (-768) (-1076)) . T)) 
 (((#0=(-407 |#2|) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) 
-(((|#1|) . T) (((-564)) -4012 (|has| (-407 (-564)) (-1035 (-564))) (|has| |#1| (-1035 (-564)))) (((-407 (-564))) . T)) 
+(((|#1|) . T) (((-564)) -2713 (|has| (-407 (-564)) (-1035 (-564))) (|has| |#1| (-1035 (-564)))) (((-407 (-564))) . T)) 
 (((|#1| (-600 |#1| |#3|) (-600 |#1| |#2|)) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
@@ -1945,25 +1946,25 @@
 (((|#2|) |has| |#2| (-172))) 
 (|has| |#2| (-845)) 
 ((((-564)) . T) ((|#2|) . T) (((-407 (-564))) |has| |#2| (-1035 (-407 (-564))))) 
-((((-112)) |has| |#1| (-1094)) (((-859)) -4012 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094)))) 
+((((-112)) |has| |#1| (-1094)) (((-859)) -2713 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094)))) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| |#2|) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))) . T)) 
 ((((-859)) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-859)) . T)) 
 ((((-695)) . T) (((-407 (-564))) . T) (((-564)) . T)) 
 (((|#1| |#1|) |has| |#1| (-172))) 
 (((|#2|) . T)) 
-(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|))))) 
 ((((-379)) . T)) 
 ((((-695)) . T)) 
 ((((-407 (-564))) . #0=(|has| |#2| (-363))) (($) . #0#)) 
 (((|#1|) |has| |#1| (-172))) 
 ((((-407 (-949 |#1|))) . T)) 
 (((|#2| |#2|) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
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+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-847)) 
@@ -1974,14 +1975,14 @@
 (((|#3|) |has| |#3| (-1046))) 
 ((((-1170)) |has| |#2| (-897 (-1170)))) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
 (|has| |#1| (-473)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-363)) 
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+(-2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-473)) (|has| |#1| (-556)) (|has| |#1| (-1046)) (|has| |#1| (-1106))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 ((((-116 |#1|)) . T)) 
 ((((-116 |#1|)) . T)) 
@@ -2002,11 +2003,11 @@
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 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-847)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-145)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) |has| (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)) (-309 (-2 (|:| -1350 |#1|) (|:| -2575 |#2|)))) ((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) |has| (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)) (-309 (-2 (|:| -2381 |#1|) (|:| -3096 |#2|)))) ((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 (((|#2|) . T)) 
 (((|#3|) . T)) 
 ((((-116 |#1|)) . T)) 
@@ -2024,11 +2025,11 @@
 ((((-536)) |has| |#1| (-612 (-536))) (((-889 (-564))) |has| |#1| (-612 (-889 (-564)))) (((-889 (-379))) |has| |#1| (-612 (-889 (-379)))) (((-379)) . #0=(|has| |#1| (-1019))) (((-225)) . #0#)) 
 (((|#1|) |has| |#1| (-363))) 
 ((((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((($ $) . T) (((-610 $) $) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 ((($) . T) (((-1245 |#1| |#2| |#3| |#4|)) . T) (((-407 (-564))) . T)) 
-((($) -4012 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-556))) 
+((($) -2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-556))) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
@@ -2039,11 +2040,11 @@
 ((((-379)) . T)) 
 (((|#3|) -12 (|has| |#3| (-309 |#3|)) (|has| |#3| (-1094)))) 
 ((((-859)) . T)) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-906))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-906))) 
 (((|#1|) . T)) 
 (|has| |#1| (-847)) 
 (|has| |#1| (-847)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
 (((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 ((((-768)) . T)) 
@@ -2054,13 +2055,13 @@
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
 ((((-564)) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 (((#0=(-1244 |#2| |#3| |#4|)) . T) (((-407 (-564))) |has| #0# (-38 (-407 (-564)))) (($) . T)) 
 ((((-564)) . T)) 
 (|has| |#1| (-363)) 
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-(-4012 (-12 (|has| (-1251 |#1| |#2| |#3|) (-145)) (|has| |#1| (-363))) (|has| |#1| (-145))) 
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 (|has| |#1| (-363)) 
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
@@ -2075,23 +2076,23 @@
 (((|#2|) . T)) 
 (|has| |#1| (-1094)) 
 (((|#1| |#2|) . T)) 
-((((-564)) . T) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-1035 (-407 (-564)))))) 
+((((-564)) . T) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-1035 (-407 (-564)))))) 
 (((|#1|) . T) (((-564)) |has| |#1| (-637 (-564)))) 
 (((|#3|) |has| |#3| (-172))) 
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 ((((-859)) . T)) 
 ((((-564)) . T)) 
 (((|#1| $) |has| |#1| (-286 |#1| |#1|))) 
 ((((-407 (-564))) . T) (($) . T) (((-407 |#1|)) . T) ((|#1|) . T)) 
 ((((-949 |#1|)) . T) (((-859)) . T)) 
 (((|#3|) . T)) 
-(((|#1| |#1|) . T) (($ $) -4012 (|has| |#1| (-290)) (|has| |#1| (-363))) ((#0=(-407 (-564)) #0#) |has| |#1| (-363))) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+(((|#1| |#1|) . T) (($ $) -2713 (|has| |#1| (-290)) (|has| |#1| (-363))) ((#0=(-407 (-564)) #0#) |has| |#1| (-363))) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((((-949 |#1|)) . T)) 
 ((($) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-1170)) |has| (-407 |#2|) (-897 (-1170)))) 
-(((|#1|) . T) (($) -4012 (|has| |#1| (-290)) (|has| |#1| (-363))) (((-407 (-564))) |has| |#1| (-363))) 
+(((|#1|) . T) (($) -2713 (|has| |#1| (-290)) (|has| |#1| (-363))) (((-407 (-564))) |has| |#1| (-363))) 
 ((((-536)) |has| |#2| (-612 (-536)))) 
 ((((-685 |#2|)) . T) (((-859)) . T)) 
 (((|#1|) . T)) 
@@ -2099,8 +2100,8 @@
 (((|#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) 
 ((((-867 |#1|)) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
-(-4012 (|has| |#4| (-790)) (|has| |#4| (-845))) 
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+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) 
@@ -2116,17 +2117,17 @@
 ((((-407 (-564))) . T) (($) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-1213))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-1213))) 
 ((($) . T)) 
 ((((-407 (-564))) |has| #0=(-407 |#2|) (-1035 (-407 (-564)))) (((-564)) |has| #0# (-1035 (-564))) ((#0#) . T)) 
 (((|#2|) . T) (((-564)) |has| |#2| (-637 (-564)))) 
 (((|#1| (-768)) . T)) 
 (|has| |#1| (-847)) 
 (((|#1|) . T) (((-564)) |has| |#1| (-637 (-564)))) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
 ((((-564)) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))) |has| (-2 (|:| -1350 (-1152)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))))) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))) |has| (-2 (|:| -2381 (-1152)) (|:| -3096 (-52))) (-309 (-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))))) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (|has| |#1| (-845)) 
 (|has| |#1| (-38 (-407 (-564)))) 
@@ -2150,29 +2151,29 @@
 (|has| |#1| (-38 (-407 (-564)))) 
 ((((-1152)) . T) (((-506)) . T) (((-225)) . T) (((-564)) . T)) 
 ((((-859)) . T)) 
-(((|#2|) . T) (((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
+(((|#2|) . T) (((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
 (((|#1| |#2|) . T)) 
 ((((-144)) . T)) 
 ((((-777 |#1| (-861 |#2|))) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (|has| |#1| (-1194)) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-368)) (|has| |#3| (-723)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046)) (|has| |#3| (-1094))) 
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 ((((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|))) 
 (((|#2|) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
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 ((((-907 |#1|)) . T)) 
 ((($) . T)) 
 ((((-407 (-949 |#1|))) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
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+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-536)) |has| |#4| (-612 (-536)))) 
 ((((-859)) . T) (((-641 |#4|)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-845)) 
-(((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) (((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) |has| (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|)) (-309 (-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))))) 
+(((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) (((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) |has| (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|)) (-309 (-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))))) 
 (|has| |#1| (-1094)) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-847)) 
@@ -2181,16 +2182,16 @@
 (((|#1|) . T)) 
 ((((-668 |#1|)) . T)) 
 ((($) . T) (((-407 (-564))) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
-(-4012 (-12 (|has| (-1168 |#1| |#2| |#3|) (-147)) (|has| |#1| (-363))) (|has| |#1| (-147))) 
-(-4012 (-12 (|has| (-1168 |#1| |#2| |#3|) (-145)) (|has| |#1| (-363))) (|has| |#1| (-145))) 
+(-2713 (-12 (|has| (-1168 |#1| |#2| |#3|) (-147)) (|has| |#1| (-363))) (|has| |#1| (-147))) 
+(-2713 (-12 (|has| (-1168 |#1| |#2| |#3|) (-145)) (|has| |#1| (-363))) (|has| |#1| (-145))) 
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-145)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 (|has| |#1| (-845)) 
 (((|#1| |#2|) . T)) 
@@ -2214,9 +2215,9 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((|#1| |#1|) |has| |#1| (-309 |#1|))) 
-(((|#1|) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)))) 
+(((|#1|) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)))) 
 ((((-316 |#1|)) . T)) 
 (((|#2|) |has| |#2| (-363))) 
 (((|#2|) . T)) 
@@ -2238,13 +2239,13 @@
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
 ((($ $) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094))) 
 (|has| |#1| (-556)) 
 (((|#2|) . T)) 
 ((((-564)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
 (((|#1| (-59 |#1|) (-59 |#1|)) . T)) 
 ((((-581 |#1|)) . T)) 
 ((($) . T)) 
@@ -2260,7 +2261,7 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-1244 |#2| |#3| |#4|)) . T) (((-564)) . T) (((-1245 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-407 (-564))) . T)) 
-((((-48)) -12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (((-564)) -4012 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1035 (-564))) (|has| |#1| (-1046))) ((|#1|) . T) (((-610 $)) . T) (($) |has| |#1| (-556)) (((-407 (-564))) -4012 (|has| |#1| (-556)) (|has| |#1| (-1035 (-407 (-564))))) (((-407 (-949 |#1|))) |has| |#1| (-556)) (((-949 |#1|)) |has| |#1| (-1046)) (((-1170)) . T)) 
+((((-48)) -12 (|has| |#1| (-556)) (|has| |#1| (-1035 (-564)))) (((-564)) -2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1035 (-564))) (|has| |#1| (-1046))) ((|#1|) . T) (((-610 $)) . T) (($) |has| |#1| (-556)) (((-407 (-564))) -2713 (|has| |#1| (-556)) (|has| |#1| (-1035 (-407 (-564))))) (((-407 (-949 |#1|))) |has| |#1| (-556)) (((-949 |#1|)) |has| |#1| (-1046)) (((-1170)) . T)) 
 ((((-407 (-564))) |has| |#2| (-1035 (-407 (-564)))) (((-564)) |has| |#2| (-1035 (-564))) ((|#2|) . T) (((-861 |#1|)) . T)) 
 ((($) . T) (((-116 |#1|)) . T) (((-407 (-564))) . T)) 
 ((((-1119 |#1| |#2|)) . T) ((|#2|) . T) ((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564))))) 
@@ -2273,12 +2274,12 @@
 (((|#1| |#2|) . T)) 
 ((((-1170) |#1|) . T)) 
 (((|#4|) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 ((((-1170) (-52)) . T)) 
 ((((-1244 |#2| |#3| |#4|) (-319 |#2| |#3| |#4|)) . T)) 
 ((((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-564)) |has| |#1| (-1035 (-564))) ((|#1|) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-723)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046)) (|has| |#2| (-1094))) 
 (((#0=(-1245 |#1| |#2| |#3| |#4|) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) 
 (((|#1| |#1|) |has| |#1| (-172)) ((#0=(-407 (-564)) #0#) |has| |#1| (-556)) (($ $) |has| |#1| (-556))) 
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
@@ -2298,14 +2299,14 @@
 (((|#1|) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 (((|#2| |#3|) . T)) 
-(-4012 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
 (((|#1| (-531 |#2|)) . T)) 
 (((|#1| (-768)) . T)) 
 (((|#1| (-531 (-1082 (-1170)))) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
 (|has| |#2| (-906)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 ((((-859)) . T)) 
 ((($ $) . T) ((#0=(-1244 |#2| |#3| |#4|) #0#) . T) ((#1=(-407 (-564)) #1#) |has| #0# (-38 (-407 (-564))))) 
 ((((-907 |#1|)) . T)) 
@@ -2314,14 +2315,14 @@
 ((((-859)) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-4012 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-556))) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) ((#0=(-1244 |#2| |#3| |#4|)) . T) (((-407 (-564))) |has| #0# (-38 (-407 (-564))))) 
 ((((-1168 |#1| |#2| |#3|)) |has| |#1| (-363))) 
-(-4012 (-12 (|has| |#1| (-307)) (|has| |#1| (-906))) (|has| |#1| (-363)) (|has| |#1| (-349))) 
-(-4012 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
+(-2713 (-12 (|has| |#1| (-307)) (|has| |#1| (-906))) (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046))) 
 ((((-564)) |has| |#1| (-637 (-564))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-859)) . T)) 
@@ -2354,27 +2355,27 @@
 (((|#1|) |has| |#1| (-172))) 
 ((((-859)) . T)) 
 (((|#4| |#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) 
-(((|#2|) -4012 (|has| |#2| (-6 (-4414 "*"))) (|has| |#2| (-172)))) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(((|#2|) -2713 (|has| |#2| (-6 (-4414 "*"))) (|has| |#2| (-172)))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (|has| |#2| (-847)) 
 (|has| |#2| (-906)) 
 (|has| |#1| (-906)) 
 (((|#2|) |has| |#2| (-172))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-536)) . T) (((-564)) . T) (((-889 (-564))) . T) (((-379)) . T) (((-225)) . T)) 
 (((|#1| |#2|) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))) . T)) 
 (((|#1|) . T)) 
 ((((-859)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1| (-407 (-564))) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-290)) (|has| |#1| (-363))) 
+(-2713 (|has| |#1| (-290)) (|has| |#1| (-363))) 
 ((((-144)) . T)) 
 ((((-407 |#2|)) . T) (((-407 (-564))) . T) (($) . T)) 
 (|has| |#1| (-845)) 
@@ -2390,7 +2391,7 @@
 ((((-859)) . T)) 
 ((((-859)) . T)) 
 ((((-187)) . T) (((-859)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#2| |#2|) . T) ((|#1| |#1|) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -2403,7 +2404,7 @@
 ((((-859)) . T)) 
 ((((-1152)) . T)) 
 ((((-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((|#1| |#1|) |has| |#1| (-309 |#1|))) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (|has| |#1| (-847)) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
@@ -2415,16 +2416,16 @@
 (((|#2|) . T)) 
 ((((-907 |#1|)) . T) (((-407 (-564))) . T) (($) . T)) 
 ((($) . T) (((-564)) . T) (((-407 (-564))) . T) (((-610 $)) . T)) 
-(-4012 (|has| |#4| (-172)) (|has| |#4| (-723)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#4| (-172)) (|has| |#4| (-723)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-1170) (-52)) . T)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (|has| |#1| (-906)) 
 ((((-907 |#1|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
 (|has| |#1| (-906)) 
@@ -2441,12 +2442,12 @@
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (|has| |#1| (-817)) 
 (((#0=(-907 |#1|) #0#) . T) (($ $) . T) ((#1=(-407 (-564)) #1#) . T)) 
 ((((-407 |#2|)) . T)) 
 (|has| |#1| (-845)) 
-((((-1195 |#1|)) . T) (((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-1195 |#1|)) . T) (((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) . T) ((#1=(-564) #1#) . T) (($ $) . T)) 
 ((((-907 |#1|)) . T) (($) . T) (((-407 (-564))) . T)) 
 (((|#2|) |has| |#2| (-1046)) (((-564)) -12 (|has| |#2| (-637 (-564))) (|has| |#2| (-1046)))) 
@@ -2457,11 +2458,11 @@
 (((|#2|) . T)) 
 ((((-859)) . T)) 
 ((((-407 (-564))) . T) (((-695)) . T) (($) . T) (((-564)) . T)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -1350 (-1170)) (|:| -2575 #0#))) . T)) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -2381 (-1170)) (|:| -3096 #0#))) . T)) 
 (|has| |#1| (-349)) 
 ((((-564)) . T)) 
 ((((-859)) . T)) 
@@ -2469,15 +2470,15 @@
 (((#0=(-1245 |#1| |#2| |#3| |#4|) $) |has| #0# (-286 #0# #0#))) 
 (|has| |#1| (-363)) 
 (((#0=(-1076) |#1|) . T) ((#0# $) . T) (($ $) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 (((#0=(-407 (-564)) #0#) . T) ((#1=(-695) #1#) . T) (($ $) . T)) 
 ((((-316 |#1|)) . T) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) |has| |#1| (-363))) 
 ((((-859)) . T)) 
 (|has| |#1| (-1094)) 
 (((|#1|) . T)) 
-(((|#1|) -4012 (|has| |#2| (-367 |#1|)) (|has| |#2| (-417 |#1|)))) 
-(((|#1|) -4012 (|has| |#2| (-367 |#1|)) (|has| |#2| (-417 |#1|)))) 
+(((|#1|) -2713 (|has| |#2| (-367 |#1|)) (|has| |#2| (-417 |#1|)))) 
+(((|#1|) -2713 (|has| |#2| (-367 |#1|)) (|has| |#2| (-417 |#1|)))) 
 (((|#2|) . T)) 
 ((((-407 (-564))) . T) (((-695)) . T) (($) . T)) 
 ((((-579)) . T)) 
@@ -2500,7 +2501,7 @@
 (((|#1|) . T)) 
 ((((-564)) . T)) 
 (((|#2|) . T) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) ((|#1|) . T) (($) . T) (((-564)) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (((|#2|) . T) (((-564)) |has| |#2| (-637 (-564)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
@@ -2538,7 +2539,7 @@
 (|has| |#2| (-1019)) 
 ((($) . T)) 
 (|has| |#1| (-906)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
@@ -2546,9 +2547,9 @@
 ((($) . T)) 
 (|has| |#1| (-363)) 
 ((((-907 |#1|)) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
-(-4012 (|has| |#1| (-368)) (|has| |#1| (-847))) 
+(-2713 (|has| |#1| (-368)) (|has| |#1| (-847))) 
 (((|#1|) . T)) 
 ((((-768)) . T)) 
 ((((-859)) . T)) 
@@ -2559,16 +2560,16 @@
 ((((-564)) . T) (($) . T)) 
 ((((-564)) . T) (($) . T)) 
 ((((-768) |#1|) . T)) 
-(((|#2| (-240 (-2779 |#1|) (-768))) . T)) 
+(((|#2| (-240 (-3435 |#1|) (-768))) . T)) 
 (((|#1| (-531 |#3|)) . T)) 
 ((((-407 (-564))) . T)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 ((((-1152)) . T) (((-859)) . T)) 
-(((#0=(-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) #0#) |has| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))))) 
+(((#0=(-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) #0#) |has| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (-309 (-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))))) 
 ((((-1152)) . T)) 
 (|has| |#1| (-906)) 
 (|has| |#2| (-363)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-169 (-379))) . T) (((-225)) . T) (((-379)) . T)) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
@@ -2585,11 +2586,11 @@
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (-12 (|has| |#1| (-545)) (|has| |#1| (-825))) 
 ((((-859)) . T)) 
-((((-1170)) -4012 (-12 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (|has| |#1| (-897 (-1170)))) (-12 (|has| |#1| (-363)) (|has| |#2| (-897 (-1170)))))) 
+((((-1170)) -2713 (-12 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (|has| |#1| (-897 (-1170)))) (-12 (|has| |#1| (-363)) (|has| |#2| (-897 (-1170)))))) 
 (|has| |#1| (-363)) 
 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) (|has| |#1| (-897 (-1170))))) 
 (|has| |#1| (-363)) 
@@ -2600,7 +2601,7 @@
 (((|#2|) |has| |#1| (-363))) 
 (((|#2|) |has| |#1| (-363))) 
 ((((-564)) . T) (($) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
@@ -2625,9 +2626,9 @@
 ((((-379)) -12 (|has| |#1| (-363)) (|has| |#2| (-883 (-379)))) (((-564)) -12 (|has| |#1| (-363)) (|has| |#2| (-883 (-564))))) 
 (|has| |#1| (-363)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 (|has| |#1| (-363)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-556)) 
 (((|#1|) . T)) 
@@ -2636,22 +2637,22 @@
 ((((-1152)) . T) (((-506)) . T) (((-225)) . T) (((-564)) . T)) 
 (((|#1|) . T)) 
 ((((-407 |#2|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
 ((((-1152) |#1|) . T)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-368))) 
 (|has| |#1| (-147)) 
 ((((-581 |#1|)) . T)) 
 ((($) . T)) 
@@ -2659,7 +2660,7 @@
 (|has| |#1| (-556)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 (|has| |#1| (-38 (-407 (-564)))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-349))) 
 (|has| |#1| (-147)) 
 ((((-859)) . T)) 
 ((($) . T)) 
@@ -2686,7 +2687,7 @@
 ((((-859)) . T)) 
 ((((-907 |#1|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((((-114)) . T) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -2708,7 +2709,7 @@
 ((((-564)) . T)) 
 ((((-859)) . T)) 
 ((((-564)) . T)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
+(-2713 (|has| |#2| (-790)) (|has| |#2| (-845))) 
 ((((-169 (-379))) . T) (((-225)) . T) (((-379)) . T)) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -2720,9 +2721,9 @@
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-473)) (|has| |#1| (-723)) (|has| |#1| (-897 (-1170))) (|has| |#1| (-1046)) (|has| |#1| (-1106)) (|has| |#1| (-1094))) 
 (|has| |#1| (-1145)) 
 ((((-564) |#1|) . T)) 
 (((|#1|) . T)) 
@@ -2742,8 +2743,8 @@
 (((|#1|) . T)) 
 (|has| |#1| (-556)) 
 ((((-407 |#2|)) . T) (((-407 (-564))) . T) (($) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
 ((((-379)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -2752,7 +2753,7 @@
 (|has| |#1| (-556)) 
 (|has| |#1| (-1094)) 
 ((((-777 |#1| (-861 |#2|))) |has| (-777 |#1| (-861 |#2|)) (-309 (-777 |#1| (-861 |#2|))))) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
 (((|#1|) . T)) 
 (((|#2| |#3|) . T)) 
 (((|#1|) . T)) 
@@ -2764,13 +2765,13 @@
 (|has| |#2| (-363)) 
 ((((-581 |#1|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
 ((((-564)) . T) (((-407 (-564))) . T) (($) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 (-52)))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-564)) . T)) 
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#3| (-790)) (|has| |#3| (-845))) 
+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 ((((-859)) . T)) 
 ((((-1114)) . T) (((-859)) . T)) 
 ((((-536)) . T) (((-859)) . T)) 
@@ -2781,12 +2782,12 @@
 ((((-564)) . T)) 
 (((|#3|) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
-((((-564)) . T) (((-407 (-564))) -4012 (|has| |#2| (-38 (-407 (-564)))) (|has| |#2| (-1035 (-407 (-564))))) ((|#2|) . T) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) (((-861 |#1|)) . T)) 
-((((-1119 |#1| |#2|)) . T) ((|#2|) . T) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-564)) . T)) 
-((((-1166 |#1|)) . T) (((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
-(-4012 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
-((((-1119 |#1| (-1170))) . T) (((-564)) . T) (((-1082 (-1170))) . T) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-1170)) . T)) 
+(-2713 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349))) 
+((((-564)) . T) (((-407 (-564))) -2713 (|has| |#2| (-38 (-407 (-564)))) (|has| |#2| (-1035 (-407 (-564))))) ((|#2|) . T) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) (((-861 |#1|)) . T)) 
+((((-1119 |#1| |#2|)) . T) ((|#2|) . T) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-564)) . T)) 
+((((-1166 |#1|)) . T) (((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) (((-1076)) . T) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564)))))) 
+(-2713 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1046))) 
+((((-1119 |#1| (-1170))) . T) (((-564)) . T) (((-1082 (-1170))) . T) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) (((-1170)) . T)) 
 (((#0=(-581 |#1|) #0#) . T) (($ $) . T) ((#1=(-407 (-564)) #1#) . T)) 
 ((($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 (((|#1|) |has| |#1| (-172))) 
@@ -2800,7 +2801,7 @@
 (((|#1|) . T)) 
 ((((-859)) . T)) 
 ((((-294 |#3|)) . T)) 
-(((#0=(-407 (-564)) #0#) |has| |#2| (-38 (-407 (-564)))) ((|#2| |#2|) . T) (($ $) -4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+(((#0=(-407 (-564)) #0#) |has| |#2| (-38 (-407 (-564)))) ((|#2| |#2|) . T) (($ $) -2713 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 (((|#2| |#2|) . T) ((|#6| |#6|) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T)) 
@@ -2808,21 +2809,21 @@
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
 (((|#2|) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T) (($) -4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T) (($) -2713 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 (((|#2|) . T) ((|#6|) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
 ((((-859)) . T)) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (|has| |#2| (-906)) 
 (|has| |#1| (-906)) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -1350 (-1152)) (|:| -2575 |#1|))) . T)) 
+((((-2 (|:| -2381 (-1152)) (|:| -3096 |#1|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -2837,10 +2838,10 @@
 (((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) 
 (((#0=(-407 (-564)) #0#) . T)) 
 ((((-407 (-564))) . T)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-407 (-564))) . T) (((-564)) . T) (($) . T)) 
 ((((-536)) . T)) 
 ((((-859)) . T)) 
@@ -2857,12 +2858,12 @@
 ((($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 ((((-1170)) |has| |#1| (-897 (-1170)))) 
 ((((-907 |#1|)) . T) (((-407 (-564))) . T) (($) . T)) 
-((($) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) . T)) 
-(((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564)))) ((|#1| |#1|) . T) (($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-556)))) 
+((($) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) . T)) 
+(((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564)))) ((|#1| |#1|) . T) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-556)))) 
 ((($) . T) (((-407 (-564))) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (((-564)) . T) (($) . T)) 
 (((|#2|) |has| |#2| (-1046)) (((-564)) -12 (|has| |#2| (-637 (-564))) (|has| |#2| (-1046)))) 
-((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T) (($) -4012 (|has| |#1| (-172)) (|has| |#1| (-556)))) 
+((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-556)))) 
 (|has| |#1| (-556)) 
 (((|#1|) |has| |#1| (-363))) 
 ((((-564)) . T)) 
@@ -2881,8 +2882,8 @@
 ((((-859)) . T)) 
 (|has| |#2| (-817)) 
 (|has| |#2| (-817)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#2|) |has| |#1| (-363)) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) . T)) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#2|) |has| |#1| (-363)) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564))))) 
 ((((-564)) |has| |#1| (-883 (-564))) (((-379)) |has| |#1| (-883 (-379)))) 
@@ -2908,12 +2909,12 @@
 (((|#2| (-768)) . T)) 
 ((((-1170)) . T)) 
 ((((-867 |#1|)) . T)) 
-(-4012 (|has| |#3| (-25)) (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
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+(-2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-790)) (|has| |#2| (-845))) 
-(-4012 (-12 (|has| |#1| (-790)) (|has| |#2| (-790))) (-12 (|has| |#1| (-847)) (|has| |#2| (-847)))) 
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 ((((-867 |#1|)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-368)) 
@@ -2939,7 +2940,7 @@
 (((|#1|) . T)) 
 ((((-859)) . T)) 
 (|has| |#2| (-906)) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((((-536)) |has| |#2| (-612 (-536))) (((-889 (-379))) |has| |#2| (-612 (-889 (-379)))) (((-889 (-564))) |has| |#2| (-612 (-889 (-564))))) 
 ((((-859)) . T)) 
 ((((-859)) . T)) 
@@ -2980,12 +2981,12 @@
 ((((-407 |#2|) |#3|) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-1094)) 
-(((|#2| (-482 (-2779 |#1|) (-768))) . T)) 
+(((|#2| (-482 (-3435 |#1|) (-768))) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-1152)) . T) (((-859)) . T)) 
 (((|#2| |#2|) . T)) 
 (((|#1| (-531 (-1170))) . T)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-564)) . T)) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
@@ -2995,9 +2996,9 @@
 ((($) . T) (((-407 (-564))) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-4012 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
+(-2713 (|has| |#1| (-847)) (|has| |#1| (-1094))) 
 (((|#1|) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-859)) . T)) 
 ((((-144)) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T)) 
@@ -3036,31 +3037,31 @@
 (((|#1|) . T)) 
 (|has| |#1| (-233)) 
 (((|#1| (-531 |#3|)) . T)) 
-(((|#2| (-240 (-2779 |#1|) (-768))) . T)) 
+(((|#2| (-240 (-3435 |#1|) (-768))) . T)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 (|has| |#1| (-368)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-531 |#2|)) . T)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
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 (((|#1| (-768)) . T)) 
 (|has| |#1| (-556)) 
-(-4012 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
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 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) 
 ((((-859)) . T)) 
 ((((-564)) . T) (((-407 (-564))) . T) (($) . T)) 
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 (((|#1|) |has| |#1| (-172))) 
 (((|#4|) |has| |#4| (-1046))) 
 (((|#3|) |has| |#3| (-1046))) 
 (-12 (|has| |#1| (-363)) (|has| |#2| (-817))) 
 (-12 (|has| |#1| (-363)) (|has| |#2| (-817))) 
-((((-564)) . T) (((-407 (-564))) -4012 (|has| |#2| (-38 (-407 (-564)))) (|has| |#2| (-1035 (-407 (-564))))) ((|#2|) . T) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) (((-861 |#1|)) . T)) 
-((((-1119 |#1| |#2|)) . T) (((-564)) . T) ((|#3|) . T) (($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) ((|#2|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+((((-564)) . T) (((-407 (-564))) -2713 (|has| |#2| (-38 (-407 (-564)))) (|has| |#2| (-1035 (-407 (-564))))) ((|#2|) . T) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) (((-861 |#1|)) . T)) 
+((((-1119 |#1| |#2|)) . T) (((-564)) . T) ((|#3|) . T) (($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1035 (-407 (-564))))) ((|#2|) . T)) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
 (((|#1|) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
@@ -3079,14 +3080,14 @@
 (((|#2|) |has| |#2| (-1046)) (((-564)) -12 (|has| |#2| (-637 (-564))) (|has| |#2| (-1046)))) 
 (((|#1|) . T)) 
 (|has| |#2| (-363)) 
-(((#0=(-407 (-564)) #0#) |has| |#2| (-38 (-407 (-564)))) ((|#2| |#2|) . T) (($ $) -4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
+(((#0=(-407 (-564)) #0#) |has| |#2| (-38 (-407 (-564)))) ((|#2| |#2|) . T) (($ $) -2713 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1| |#1|) . T) ((#0=(-407 (-564)) #0#) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-407 (-564)) #0#) . T)) 
 (((|#2| |#2|) . T)) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T) (($) -4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T) (($) -2713 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((($) -2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
 (((|#1|) . T) (($) . T) (((-407 (-564))) . T)) 
@@ -3109,7 +3110,7 @@
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
 ((((-859)) . T) (((-1175)) . T)) 
-((((-641 |#1|)) . T) (((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+((((-641 |#1|)) . T) (((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
@@ -3122,23 +3123,23 @@
 ((((-1208)) . T) (((-859)) . T) (((-1175)) . T)) 
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) |has| (-2 (|:| -1350 (-1170)) (|:| -2575 (-52))) (-309 (-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))))) 
-(-4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) |has| (-2 (|:| -2381 (-1170)) (|:| -3096 (-52))) (-309 (-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))))) 
+(-2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
 ((((-564) |#1|) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-564) |#1|) . T)) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 ((((-564) |#1|) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#1|) |has| |#1| (-172))) 
 ((((-1170)) |has| |#1| (-897 (-1170))) (((-815 (-1170))) . T)) 
-(-4012 (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#3| (-131)) (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-790)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-816 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
 ((((-859)) . T)) 
@@ -3146,19 +3147,19 @@
 (((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556)) (((-407 (-564))) |has| |#1| (-556))) 
 (((|#2|) . T) (((-564)) |has| |#2| (-637 (-564)))) 
 (|has| |#1| (-363)) 
-(-4012 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (-12 (|has| |#1| (-363)) (|has| |#2| (-233)))) 
+(-2713 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (-12 (|has| |#1| (-363)) (|has| |#2| (-233)))) 
 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) 
 (|has| |#1| (-363)) 
 (((|#1|) . T)) 
-(((#0=(-407 (-564)) #0#) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1| |#1|) . T)) 
+(((#0=(-407 (-564)) #0#) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1| |#1|) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-316 |#1|)) . T)) 
 (((#0=(-695) (-1166 #0#)) . T)) 
-((((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1|) . T)) 
+((((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((|#1|) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (|has| |#1| (-845)) 
-(((|#2|) . T) (((-1170)) -12 (|has| |#1| (-363)) (|has| |#2| (-1035 (-1170)))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) ((|#1|) |has| |#1| (-172))) 
-(((|#2|) . T) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-564)) . T) (($) -4012 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
+(((|#2|) . T) (((-1170)) -12 (|has| |#1| (-363)) (|has| |#2| (-1035 (-1170)))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556))) (((-564)) . T) ((|#1|) |has| |#1| (-172))) 
+(((|#2|) . T) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) (((-564)) . T) (($) -2713 (|has| |#1| (-363)) (|has| |#1| (-556)))) 
 ((($ $) . T) ((#0=(-861 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((((-1119 |#1| (-1170))) . T) (((-815 (-1170))) . T) ((|#1|) . T) (((-564)) |has| |#1| (-1035 (-564))) (((-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) (((-1170)) . T)) 
 ((($) . T)) 
@@ -3174,12 +3175,12 @@
 (((#0=(-1245 |#1| |#2| |#3| |#4|)) |has| #0# (-309 #0#))) 
 ((($) . T)) 
 (((|#1|) . T)) 
-((($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((#0=(-407 (-564)) #0#) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#2| |#2|) |has| |#1| (-363)) ((|#1| |#1|) . T)) 
-(((|#1| |#1|) . T) (($ $) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((#0=(-407 (-564)) #0#) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
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+(((|#1| |#1|) . T) (($ $) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) ((#0=(-407 (-564)) #0#) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
 (|has| |#2| (-233)) 
 (|has| $ (-147)) 
 ((((-859)) . T)) 
-((($) . T) (((-407 (-564))) -4012 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
+((($) . T) (((-407 (-564))) -2713 (|has| |#1| (-363)) (|has| |#1| (-349))) ((|#1|) . T)) 
 ((((-859)) . T)) 
 (|has| |#1| (-845)) 
 ((((-129)) . T)) 
@@ -3193,24 +3194,24 @@
 (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094)))) 
 (((|#4|) . T)) 
 (|has| |#1| (-556)) 
-((($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363))) ((|#2|) |has| |#1| (-363)) ((|#1|) . T)) 
-((((-1170)) -4012 (-12 (|has| (-1251 |#1| |#2| |#3|) (-897 (-1170))) (|has| |#1| (-363))) (-12 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (|has| |#1| (-897 (-1170)))))) 
-(((|#1|) . T) (($) -4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -4012 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
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+(((|#1|) . T) (($) -2713 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-556))) (((-407 (-564))) -2713 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-363)))) 
 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) (|has| |#1| (-897 (-1170))))) 
 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-768) |#1|))) (|has| |#1| (-897 (-1170))))) 
 (((|#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) 
 ((((-564) |#1|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906))) 
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 (((|#1|) . T)) 
 (((|#1| (-531 (-815 (-1170)))) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
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 ((((-564)) . T) ((|#2|) . T) (($) . T) (((-407 (-564))) . T) (((-1170)) |has| |#2| (-1035 (-1170)))) 
 (((|#1|) . T)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
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 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 ((($) . T) (((-867 |#1|)) . T) (((-407 (-564))) . T)) 
 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
@@ -3219,15 +3220,15 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-407 |#2|)) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
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 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
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+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
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 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 (((|#1|) . T)) 
 (((|#2| |#2|) . T) ((#0=(-407 (-564)) #0#) . T) (($ $) . T)) 
 ((((-564)) . T)) 
@@ -3257,17 +3258,17 @@
 ((((-129)) . T)) 
 ((((-859)) . T)) 
 ((((-1251 |#1| |#2| |#3|)) |has| |#1| (-363))) 
-((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -4012 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
+((((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) |has| |#2| (-172)) (($) -2713 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-906)))) 
 (((|#2|) . T) ((|#6|) . T)) 
 ((($) . T) (((-407 (-564))) |has| |#2| (-38 (-407 (-564)))) ((|#2|) . T)) 
 (|has| |#1| (-363)) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-1098)) . T)) 
 ((((-859)) . T)) 
-((($) -4012 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-363)) (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((($) . T) (((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) . T)) 
 ((($) . T)) 
-((($) -4012 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
+((($) -2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) ((|#1|) |has| |#1| (-172)) (((-407 (-564))) |has| |#1| (-38 (-407 (-564))))) 
 ((((-1251 |#1| |#2| |#3|)) . T) (((-1223 |#1| |#2| |#3|)) . T)) 
 ((((-1170)) . T) (((-859)) . T)) 
 (|has| |#2| (-906)) 
@@ -3277,7 +3278,7 @@
 (((|#1|) . T)) 
 (((|#1| |#1|) |has| |#1| (-172))) 
 ((((-695)) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 ((((-1175)) . T)) 
 (((|#1|) |has| |#1| (-172))) 
 ((((-1175)) . T)) 
@@ -3289,13 +3290,13 @@
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-349))) 
 ((((-1175)) . T)) 
 ((((-1175)) . T)) 
 (|has| |#1| (-363)) 
 (|has| |#1| (-363)) 
-(-4012 (|has| |#1| (-172)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-172)) (|has| |#1| (-556))) 
 (((|#1| (-564)) . T)) 
 (((|#1| (-407 (-564))) . T)) 
 (((|#1| (-768)) . T)) 
@@ -3310,16 +3311,16 @@
 ((((-889 (-379))) . T) (((-889 (-564))) . T) (((-1170)) . T) (((-536)) . T)) 
 (((|#1|) . T)) 
 ((((-859)) . T)) 
-(-4012 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
-(-4012 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-131)) (|has| |#2| (-131))) (-12 (|has| |#1| (-790)) (|has| |#2| (-790)))) 
+(-2713 (|has| |#2| (-131)) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-790)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-131)) (|has| |#2| (-131))) (-12 (|has| |#1| (-790)) (|has| |#2| (-790)))) 
 ((((-564)) . T)) 
 ((((-564)) . T)) 
-((((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
-(-4012 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
+(-2713 (|has| |#2| (-172)) (|has| |#2| (-723)) (|has| |#2| (-845)) (|has| |#2| (-1046))) 
 ((((-1170)) -12 (|has| |#2| (-897 (-1170))) (|has| |#2| (-1046)))) 
-(-4012 (-12 (|has| |#1| (-473)) (|has| |#2| (-473))) (-12 (|has| |#1| (-723)) (|has| |#2| (-723)))) 
+(-2713 (-12 (|has| |#1| (-473)) (|has| |#2| (-473))) (-12 (|has| |#1| (-723)) (|has| |#2| (-723)))) 
 (|has| |#1| (-145)) 
 (|has| |#1| (-147)) 
 (|has| |#1| (-363)) 
@@ -3345,7 +3346,7 @@
 (((|#1| |#2|) . T)) 
 ((((-564)) . T) ((|#2|) |has| |#2| (-172))) 
 ((((-114)) . T) ((|#1|) . T) (((-564)) . T)) 
-(-4012 (|has| |#1| (-349)) (|has| |#1| (-368))) 
+(-2713 (|has| |#1| (-349)) (|has| |#1| (-368))) 
 (((|#1| |#2|) . T)) 
 ((((-225)) . T)) 
 ((((-407 (-564))) . T) (($) . T) (((-564)) . T)) 
@@ -3357,7 +3358,7 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-536)) |has| |#1| (-612 (-536)))) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-847)) (|has| |#1| (-1094)))) 
 ((($) . T) (((-407 (-564))) . T)) 
 (|has| |#1| (-906)) 
 (|has| |#1| (-906)) 
@@ -3368,14 +3369,14 @@
 (((|#1| |#1|) |has| |#1| (-172))) 
 (((|#1|) . T) (((-564)) . T)) 
 ((((-1175)) . T)) 
-(-4012 (|has| |#1| (-363)) (|has| |#1| (-556))) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
+(-2713 (|has| |#1| (-363)) (|has| |#1| (-556))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-845))) 
 (((|#2|) . T)) 
-(-4012 (|has| |#1| (-21)) (|has| |#1| (-845))) 
+(-2713 (|has| |#1| (-21)) (|has| |#1| (-845))) 
 (((|#1|) |has| |#1| (-172))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-859)) -4012 (-12 (|has| |#1| (-611 (-859))) (|has| |#2| (-611 (-859)))) (-12 (|has| |#1| (-1094)) (|has| |#2| (-1094))))) 
+((((-859)) -2713 (-12 (|has| |#1| (-611 (-859))) (|has| |#2| (-611 (-859)))) (-12 (|has| |#1| (-1094)) (|has| |#2| (-1094))))) 
 ((((-407 |#2|) |#3|) . T)) 
 ((((-407 (-564))) . T) (($) . T)) 
 (|has| |#1| (-38 (-407 (-564)))) 
@@ -3387,19 +3388,19 @@
 (((|#1|) . T) (((-407 (-564))) . T) (((-564)) . T) (($) . T)) 
 (((#0=(-564) #0#) . T)) 
 ((($) . T) (((-407 (-564))) . T)) 
-(-4012 (|has| |#4| (-172)) (|has| |#4| (-723)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
-(-4012 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
+(-2713 (|has| |#4| (-172)) (|has| |#4| (-723)) (|has| |#4| (-845)) (|has| |#4| (-1046))) 
+(-2713 (|has| |#3| (-172)) (|has| |#3| (-723)) (|has| |#3| (-845)) (|has| |#3| (-1046))) 
 ((((-859)) . T) (((-1175)) . T)) 
 (|has| |#4| (-790)) 
-(-4012 (|has| |#4| (-790)) (|has| |#4| (-845))) 
+(-2713 (|has| |#4| (-790)) (|has| |#4| (-845))) 
 (|has| |#4| (-845)) 
 (|has| |#3| (-790)) 
 ((((-1175)) . T)) 
-(-4012 (|has| |#3| (-790)) (|has| |#3| (-845))) 
+(-2713 (|has| |#3| (-790)) (|has| |#3| (-845))) 
 (|has| |#3| (-845)) 
 ((((-564)) . T)) 
 (((|#2|) . T)) 
-((((-1170)) -4012 (-12 (|has| (-1168 |#1| |#2| |#3|) (-897 (-1170))) (|has| |#1| (-363))) (-12 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (|has| |#1| (-897 (-1170)))))) 
+((((-1170)) -2713 (-12 (|has| (-1168 |#1| |#2| |#3|) (-897 (-1170))) (|has| |#1| (-363))) (-12 (|has| |#1| (-15 * (|#1| (-564) |#1|))) (|has| |#1| (-897 (-1170)))))) 
 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) (|has| |#1| (-897 (-1170))))) 
 ((((-1170)) -12 (|has| |#1| (-15 * (|#1| (-768) |#1|))) (|has| |#1| (-897 (-1170))))) 
 (((|#1| |#1|) . T) (($ $) . T)) 
@@ -3414,11 +3415,11 @@
 ((((-1168 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 ((((-1134 |#1| |#2|)) . T)) 
 ((((-1168 |#1| |#2| |#3|)) |has| |#1| (-363))) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((($) . T)) 
 (|has| |#1| (-1019)) 
-(((|#2|) . T) (((-2 (|:| -1350 |#1|) (|:| -2575 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 ((((-859)) . T)) 
 ((((-536)) |has| |#2| (-612 (-536))) (((-889 (-564))) |has| |#2| (-612 (-889 (-564)))) (((-889 (-379))) |has| |#2| (-612 (-889 (-379)))) (((-379)) . #0=(|has| |#2| (-1019))) (((-225)) . #0#)) 
 ((((-294 |#3|)) . T)) 
@@ -3434,15 +3435,15 @@
 ((((-1168 |#1| |#2| |#3|)) . T)) 
 ((((-1168 |#1| |#2| |#3|)) . T) (((-1161 |#1| |#2| |#3|)) . T)) 
 ((((-859)) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 ((((-564) |#1|) . T)) 
 ((((-1168 |#1| |#2| |#3|)) |has| |#1| (-363))) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-363)) 
-(((|#3|) . T) ((|#2|) . T) (($) -4012 (|has| |#4| (-172)) (|has| |#4| (-845)) (|has| |#4| (-1046))) ((|#4|) -4012 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046)))) 
-(((|#2|) . T) (($) -4012 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) ((|#3|) -4012 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046)))) 
+(((|#3|) . T) ((|#2|) . T) (($) -2713 (|has| |#4| (-172)) (|has| |#4| (-845)) (|has| |#4| (-1046))) ((|#4|) -2713 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1046)))) 
+(((|#2|) . T) (($) -2713 (|has| |#3| (-172)) (|has| |#3| (-845)) (|has| |#3| (-1046))) ((|#3|) -2713 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1046)))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-363)) 
@@ -3457,7 +3458,7 @@
 ((((-187)) . T) (((-859)) . T)) 
 ((((-859)) . T)) 
 (((|#1|) . T)) 
-((((-859)) -4012 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
 ((((-129)) . T) (((-859)) . T)) 
 ((((-564) |#1|) . T)) 
 ((((-129)) . T)) 
@@ -3466,13 +3467,13 @@
 (((|#1|) . T)) 
 (((|#2| $) -12 (|has| |#1| (-363)) (|has| |#2| (-286 |#2| |#2|))) (($ $) . T)) 
 ((($ $) . T)) 
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 ((((-859)) . T)) 
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-((((-2 (|:| -1350 (-1170)) (|:| -2575 (-52)))) . T)) 
+((((-2 (|:| -2381 (-1170)) (|:| -3096 (-52)))) . T)) 
 ((((-564) (-129)) . T)) 
 (((|#1| (-564)) . T)) 
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@@ -3486,8 +3487,8 @@
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 ((((-859)) . T) (((-1175)) . T)) 
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+(-2713 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-906))) 
 ((($) . T)) 
 (((|#2| (-531 (-861 |#1|))) . T)) 
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@@ -3502,13 +3503,13 @@
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 ((((-859)) . T) (((-1175)) . T)) 
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+((((-859)) -2713 (|has| |#1| (-611 (-859))) (|has| |#1| (-1094)))) 
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+((((-2 (|:| -2381 |#1|) (|:| -3096 |#2|))) . T)) 
 (|has| |#1| (-556)) 
 (|has| |#1| (-556)) 
 ((($) . T) ((|#2|) . T)) 
@@ -3517,14 +3518,14 @@
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 (|has| |#1| (-1094)) 
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@@ -3536,10 +3537,10 @@
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 ((($ $) . T)) 
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 ((($ $) . T) ((#0=(-861 |#1|) $) . T) ((#0# |#2|) . T)) 
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-452) T) ((-359 . -131) T) ((-316 . -400) 141389) ((-313 . -400) 141350) ((-353 . -131) T) ((-345 . -131) T) ((-1175 . -1094) T) ((-1114 . -38) 141337) ((-1088 . -611) 141304) ((-108 . -131) T) ((-951 . -1094) T) ((-918 . -1094) T) ((-768 . -1094) T) ((-668 . -1094) T) ((-697 . -147) T) ((-116 . -147) T) ((-1281 . -21) T) ((-1281 . -25) T) ((-1279 . -21) T) ((-1279 . -25) T) ((-660 . -1052) 141288) ((-531 . -847) T) ((-500 . -847) T) ((-355 . -1052) 141240) ((-352 . -1052) 141192) ((-344 . -1052) 141144) ((-251 . -1209) T) ((-250 . -1209) T) ((-264 . -1052) 140987) ((-247 . -1052) 140830) ((-660 . -111) 140809) ((-547 . -841) T) ((-355 . -111) 140747) ((-352 . -111) 140685) ((-344 . -111) 140623) ((-264 . -111) 140452) ((-247 . -111) 140281) ((-814 . -1213) 140260) ((-621 . -411) 140244) ((-44 . -21) T) ((-44 . -25) T) ((-812 . -637) 140150) ((-814 . -556) 140129) ((-251 . -1035) 139956) ((-250 . -1035) 139783) ((-126 . -119) 139767) ((-907 . -1052) 139732) ((-709 . -102) T) ((-695 . -1053) T) ((-536 . -616) 139635) ((-343 . -172) T) ((-88 . -611) 139617) ((-152 . -21) T) ((-152 . -25) T) ((-907 . -111) 139573) ((-40 . -714) 139518) ((-867 . -1094) T) ((-660 . -614) 139495) ((-642 . -614) 139476) ((-355 . -614) 139413) ((-352 . -614) 139350) ((-547 . -1094) T) ((-344 . -614) 139287) ((-327 . -612) 139248) ((-327 . -611) 139160) ((-264 . -614) 138913) ((-247 . -614) 138698) ((-1222 . -789) 138651) ((-1222 . -792) 138604) ((-251 . -377) 138573) ((-250 . -377) 138542) ((-650 . -38) 138512) ((-606 . -34) T) ((-482 . -1106) 138422) ((-475 . -34) T) ((-1107 . -131) 138292) ((-961 . -25) 138103) ((-907 . -614) 138053) ((-871 . -611) 138035) ((-961 . -21) 137990) ((-812 . -21) 137900) ((-812 . -25) 137751) ((-1215 . -368) T) ((-621 . -1053) T) ((-1172 . -556) 137730) ((-1166 . -47) 137707) ((-355 . -1046) T) ((-352 . -1046) T) ((-482 . -23) 137577) ((-344 . -1046) T) ((-247 . -1046) T) ((-264 . -1046) T) ((-1119 . -47) 137549) ((-117 . -1053) T) ((-1031 . -644) 137523) 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-1094) T) ((-1119 . -883) 136653) ((-129 . -847) T) ((-1166 . -1035) 136533) ((-1119 . -1035) 136416) ((-183 . -611) 136398) ((-851 . -1035) 136294) ((-779 . -286) 136221) ((-814 . -1106) T) ((-1031 . -723) T) ((-600 . -647) 136205) ((-1043 . -973) 136134) ((-996 . -102) T) ((-814 . -23) T) ((-709 . -1145) 136112) ((-690 . -1053) T) ((-600 . -373) 136096) ((-351 . -452) T) ((-343 . -290) T) ((-1260 . -1094) T) ((-248 . -1094) T) ((-399 . -102) T) ((-289 . -21) T) ((-289 . -25) T) ((-361 . -723) T) ((-707 . -1094) T) ((-695 . -1094) T) ((-361 . -473) T) ((-1203 . -611) 136078) ((-1166 . -377) 136062) ((-1119 . -377) 136046) ((-1021 . -411) 136008) ((-141 . -229) 135990) ((-379 . -791) T) ((-379 . -788) T) ((-867 . -172) T) ((-379 . -723) T) ((-708 . -611) 135972) ((-709 . -38) 135801) ((-1259 . -1257) 135785) ((-351 . -402) T) ((-1259 . -1094) 135735) ((-580 . -714) 135722) ((-564 . -714) 135709) ((-495 . -714) 135674) ((-316 . -627) 135653) ((-833 . -723) T) ((-824 . -723) T) ((-641 . -1209) T) ((-1074 . -637) 135601) ((-1166 . -897) 135544) ((-1119 . -897) 135528) ((-658 . -1052) 135512) ((-108 . -637) 135494) ((-482 . -131) 135364) ((-1172 . -1106) T) ((-949 . -47) 135333) ((-621 . -1094) T) ((-658 . -111) 135312) ((-491 . -611) 135278) ((-327 . -288) 135255) ((-481 . -47) 135212) ((-1172 . -23) T) ((-117 . -1094) T) ((-103 . -102) 135190) ((-1271 . -1106) T) ((-548 . -847) T) ((-1050 . -131) T) ((-1021 . -1053) T) ((-816 . -1035) 135174) ((-1000 . -721) 135146) ((-1271 . -23) T) ((-695 . -714) 135111) ((-585 . -611) 135093) ((-386 . -1035) 135077) ((-354 . -1053) T) ((-385 . -131) T) ((-324 . -1035) 135061) ((-225 . -883) 135043) ((-1001 . -917) T) ((-91 . -34) T) ((-1001 . -817) T) ((-911 . -917) T) ((-1189 . -611) 135025) ((-1114 . -825) T) ((-487 . -1213) T) ((-1099 . -1094) T) ((-1074 . -21) T) ((-1074 . -25) T) ((-217 . -1213) T) ((-996 . -309) 134990) ((-225 . -1035) 134950) ((-40 . -290) T) ((-711 . -644) 134910) ((-677 . -614) 134891) ((-672 . -614) 134872) ((-487 . -556) T) ((-478 . -614) 134853) ((-359 . -25) T) ((-359 . -21) T) ((-353 . -25) T) ((-217 . -556) T) ((-353 . -21) T) ((-345 . -25) T) ((-345 . -21) T) ((-245 . -614) 134830) ((-138 . -614) 134811) ((-137 . -614) 134792) ((-133 . -614) 134773) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1053) T) ((-580 . -172) T) ((-564 . -172) T) ((-495 . -172) T) ((-654 . -611) 134755) ((-734 . -733) 134739) ((-336 . -611) 134721) ((-68 . -383) T) ((-68 . -395) T) ((-1096 . -107) 134705) ((-1057 . -883) 134687) ((-949 . -883) 134612) ((-649 . -1106) T) ((-621 . -714) 134599) ((-481 . -883) NIL) ((-1140 . -102) T) ((-1088 . -616) 134583) ((-1057 . -1035) 134565) ((-97 . -611) 134547) ((-477 . -147) T) ((-949 . -1035) 134427) ((-117 . -714) 134372) ((-649 . -23) T) ((-481 . -1035) 134248) ((-1081 . -612) NIL) ((-1081 . -611) 134230) ((-779 . -612) NIL) ((-779 . -611) 134191) ((-777 . -612) 133825) ((-777 . -611) 133739) ((-1107 . -637) 133645) ((-461 . -611) 133627) ((-454 . -611) 133609) ((-454 . -612) 133470) ((-1032 . -229) 133416) ((-869 . -906) 133395) ((-126 . -34) T) ((-814 . -131) T) ((-645 . -611) 133377) ((-578 . -102) T) ((-355 . -1278) 133361) ((-352 . -1278) 133345) ((-344 . -1278) 133329) ((-127 . -514) 133262) ((-121 . -514) 133195) ((-511 . -789) T) ((-511 . -792) T) ((-510 . -791) T) ((-103 . -309) 133133) ((-222 . -102) 133111) ((-690 . -1094) T) ((-695 . -172) T) ((-869 . -644) 133063) ((-65 . -384) T) ((-275 . -611) 133045) ((-65 . -395) T) ((-949 . -377) 133029) ((-867 . -290) T) ((-50 . -611) 133011) ((-996 . -38) 132959) ((-581 . -611) 132941) ((-481 . -377) 132925) ((-581 . -612) 132907) ((-518 . -611) 132889) ((-907 . -1278) 132876) ((-868 . -1209) T) ((-697 . -452) T) ((-495 . -514) 132842) ((-487 . -363) T) ((-355 . -368) 132821) ((-352 . -368) 132800) ((-344 . -368) 132779) ((-711 . -723) T) ((-217 . -363) T) ((-116 . -452) T) ((-1282 . -1273) 132763) ((-868 . -881) 132740) ((-868 . -883) NIL) ((-961 . -847) 132639) ((-812 . -847) 132590) ((-1216 . -102) T) ((-650 . -652) 132574) ((-1195 . -34) T) ((-171 . -611) 132556) ((-1107 . -21) 132466) ((-1107 . -25) 132317) ((-868 . -1035) 132294) ((-949 . -897) 132275) ((-1232 . -47) 132252) ((-907 . -368) T) ((-59 . -647) 132236) ((-516 . -647) 132220) ((-481 . -897) 132197) ((-71 . -441) T) ((-71 . -395) T) ((-496 . -647) 132181) ((-59 . -373) 132165) ((-621 . -172) T) ((-516 . -373) 132149) ((-496 . -373) 132133) ((-824 . -705) 132117) ((-1166 . -307) 132096) ((-1172 . -131) T) ((-117 . -172) T) ((-1140 . -309) 132034) ((-169 . -1209) T) ((-633 . -741) 132018) ((-605 . -741) 132002) ((-1271 . -131) T) ((-1244 . -917) 131981) ((-1223 . -917) 131960) ((-1223 . -817) NIL) ((-690 . -714) 131910) ((-1222 . -906) 131863) ((-1021 . -1094) T) ((-868 . -377) 131840) ((-868 . -338) 131817) ((-902 . -1106) T) ((-169 . -881) 131801) ((-169 . -883) 131726) ((-487 . -1106) T) ((-354 . -1094) T) ((-217 . -1106) T) ((-76 . -441) T) ((-76 . -395) T) ((-169 . -1035) 131622) ((-319 . -847) T) ((-1259 . -514) 131555) ((-1243 . -644) 131452) ((-1222 . -644) 131322) ((-869 . -791) 131301) ((-869 . -788) 131280) ((-869 . -723) T) ((-487 . -23) T) ((-223 . -611) 131262) ((-174 . -452) T) ((-222 . -309) 131200) ((-86 . -441) T) ((-86 . -395) T) ((-217 . -23) T) ((-1283 . -1276) 131179) ((-580 . -290) T) ((-564 . -290) T) ((-673 . -1035) 131163) ((-495 . -290) T) ((-136 . -470) 131118) ((-48 . -1094) T) ((-709 . -231) 131102) ((-868 . -897) NIL) ((-1232 . -883) NIL) ((-886 . -102) T) ((-882 . -102) T) ((-388 . -1094) T) ((-169 . -377) 131086) ((-169 . -338) 131070) ((-1232 . -1035) 130950) ((-852 . -1035) 130846) ((-1136 . -102) T) ((-649 . -131) T) ((-117 . -514) 130754) ((-658 . -789) 130733) ((-658 . -792) 130712) ((-571 . -1035) 130694) ((-294 . -1266) 130664) ((-863 . -102) T) ((-960 . -556) 130643) ((-1203 . -1052) 130526) ((-482 . -637) 130432) ((-901 . -1094) T) ((-1021 . -714) 130369) ((-708 . -1052) 130334) ((-615 . -102) T) ((-600 . -34) T) ((-1141 . -1209) T) 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((-708 . -1046) T) ((-385 . -21) T) ((-385 . -25) T) ((-690 . -514) NIL) ((-1021 . -172) T) ((-708 . -243) T) ((-1057 . -545) T) ((-506 . -102) T) ((-502 . -102) T) ((-354 . -172) T) ((-343 . -611) 129049) ((-394 . -611) 129031) ((-474 . -723) T) ((-1114 . -845) T) ((-889 . -1035) 128999) ((-108 . -847) T) ((-654 . -1052) 128983) ((-487 . -131) T) ((-1245 . -1053) T) ((-217 . -131) T) ((-1150 . -102) 128961) ((-99 . -1094) T) ((-245 . -662) 128945) ((-245 . -647) 128929) ((-654 . -111) 128908) ((-585 . -614) 128892) ((-316 . -411) 128876) ((-245 . -373) 128860) ((-1153 . -235) 128807) ((-996 . -231) 128791) ((-74 . -1209) T) ((-48 . -172) T) ((-697 . -387) T) ((-697 . -143) T) ((-1282 . -102) T) ((-1189 . -614) 128773) ((-1081 . -1052) 128616) ((-264 . -906) 128595) ((-247 . -906) 128574) ((-779 . -1052) 128397) ((-777 . -1052) 128240) ((-606 . -1209) T) ((-1158 . -611) 128222) ((-1081 . -111) 128051) ((-1043 . -102) T) ((-475 . -1209) T) ((-461 . -1052) 128022) ((-454 . -1052) 127865) 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. -243) T) ((-48 . -233) T) ((-650 . -286) 110051) ((-550 . -235) 110001) ((-139 . -611) 109968) ((-136 . -611) 109950) ((-114 . -611) 109932) ((-477 . -38) 109897) ((-1283 . -1280) 109876) ((-1274 . -131) T) ((-1282 . -1053) T) ((-1076 . -102) T) ((-88 . -1209) T) ((-500 . -309) NIL) ((-997 . -107) 109860) ((-886 . -1094) T) ((-882 . -1094) T) ((-1259 . -647) 109844) ((-1259 . -373) 109828) ((-327 . -1209) T) ((-592 . -847) T) ((-1136 . -1094) T) ((-1136 . -1049) 109768) ((-103 . -514) 109701) ((-924 . -611) 109683) ((-343 . -723) T) ((-30 . -611) 109665) ((-863 . -1094) T) ((-840 . -1053) 109644) ((-40 . -644) 109589) ((-225 . -1213) T) ((-407 . -1053) T) ((-1152 . -151) 109571) ((-996 . -290) 109522) ((-615 . -1094) T) ((-225 . -556) T) ((-319 . -1240) 109506) ((-319 . -1237) 109476) ((-1182 . -1185) 109455) ((-1069 . -611) 109437) ((-643 . -151) 109421) ((-630 . -151) 109367) ((-1182 . -107) 109317) ((-479 . -1185) 109296) ((-487 . -147) T) ((-487 . -145) NIL) ((-1114 . -612) 109211) ((-438 . -611) 109193) ((-217 . -147) T) ((-217 . -145) NIL) ((-1114 . -611) 109175) ((-129 . -102) T) ((-52 . -102) T) ((-1223 . -637) 109127) ((-479 . -107) 109077) ((-990 . -23) T) ((-1283 . -38) 109047) ((-1166 . -1106) T) ((-1119 . -1106) T) ((-1057 . -1213) T) ((-311 . -102) T) ((-851 . -1106) T) ((-949 . -1213) 109026) ((-481 . -1213) 109005) ((-728 . -847) 108984) ((-1057 . -556) T) ((-949 . -556) 108915) ((-1166 . -23) T) ((-1119 . -23) T) ((-851 . -23) T) ((-481 . -556) 108846) ((-1136 . -714) 108778) ((-1140 . -514) 108711) ((-1032 . -612) NIL) ((-1032 . -611) 108693) ((-96 . -1077) T) ((-863 . -714) 108663) ((-1203 . -47) 108632) ((-251 . -131) T) ((-250 . -131) T) ((-1098 . -1094) T) ((-1000 . -1094) T) ((-62 . -611) 108614) ((-1161 . -847) NIL) ((-1021 . -789) T) ((-1021 . -792) T) ((-1287 . -1052) 108601) ((-1287 . -111) 108586) ((-867 . -644) 108573) ((-1251 . -25) T) ((-1251 . -21) T) ((-1244 . -21) T) ((-1244 . -25) T) ((-1223 . -21) T) ((-1223 . -25) T) 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107870) ((-294 . -1053) 107812) ((-169 . -1213) 107717) ((-225 . -1106) T) ((-324 . -23) T) ((-1161 . -989) 107669) ((-840 . -1094) T) ((-1245 . -1052) 107574) ((-1120 . -737) 107553) ((-1243 . -917) 107532) ((-1222 . -917) 107511) ((-867 . -723) T) ((-169 . -556) 107422) ((-580 . -644) 107409) ((-564 . -644) 107396) ((-407 . -1094) T) ((-263 . -1094) T) ((-213 . -611) 107378) ((-495 . -644) 107343) ((-225 . -23) T) ((-1222 . -817) 107296) ((-1281 . -102) T) ((-354 . -1278) 107273) ((-1279 . -102) T) ((-1245 . -111) 107165) ((-144 . -611) 107147) ((-990 . -131) T) ((-44 . -102) T) ((-240 . -847) 107098) ((-1232 . -1213) 107077) ((-103 . -489) 107061) ((-1282 . -714) 107031) ((-1081 . -47) 106992) ((-1057 . -1106) T) ((-949 . -1106) T) ((-127 . -34) T) ((-121 . -34) T) ((-779 . -47) 106969) ((-777 . -47) 106941) ((-1232 . -556) 106852) ((-354 . -368) T) ((-481 . -1106) T) ((-1166 . -131) T) ((-1119 . -131) T) ((-454 . -47) 106831) ((-868 . -363) T) ((-851 . -131) T) ((-152 . -102) T) 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-883) NIL) ((-868 . -1106) T) ((-117 . -906) NIL) ((-1281 . -1280) 105427) ((-1279 . -1280) 105406) ((-779 . -883) NIL) ((-777 . -883) 105265) ((-1274 . -25) T) ((-1274 . -21) T) ((-1206 . -102) 105243) ((-1100 . -395) T) ((-621 . -644) 105230) ((-454 . -883) NIL) ((-671 . -102) 105208) ((-1081 . -1035) 105035) ((-868 . -23) T) ((-779 . -1035) 104894) ((-777 . -1035) 104751) ((-117 . -644) 104696) ((-454 . -1035) 104572) ((-316 . -614) 104136) ((-313 . -614) 104019) ((-645 . -1035) 104003) ((-625 . -102) T) ((-222 . -489) 103987) ((-1259 . -34) T) ((-136 . -614) 103971) ((-633 . -714) 103955) ((-605 . -714) 103939) ((-666 . -38) 103899) ((-319 . -102) T) ((-85 . -611) 103881) ((-50 . -1035) 103865) ((-1114 . -1052) 103852) ((-1081 . -377) 103836) ((-779 . -377) 103820) ((-695 . -723) T) ((-695 . -791) T) ((-695 . -788) T) ((-581 . -1035) 103807) ((-518 . -1035) 103784) ((-60 . -57) 103746) ((-324 . -131) T) ((-316 . -1046) 103636) ((-313 . -1046) T) ((-169 . -1106) T) ((-777 . -377) 103620) ((-45 . -151) 103570) ((-1001 . -989) 103552) ((-454 . -377) 103536) ((-407 . -172) T) ((-316 . -243) 103515) ((-313 . -243) T) ((-313 . -233) NIL) ((-294 . -1094) 103297) ((-225 . -131) T) ((-1114 . -111) 103282) ((-169 . -23) T) ((-796 . -147) 103261) ((-796 . -145) 103240) ((-251 . -637) 103146) ((-250 . -637) 103052) ((-319 . -284) 103018) ((-1150 . -514) 102951) ((-1127 . -1094) T) ((-225 . -1055) T) ((-812 . -309) 102889) ((-1081 . -897) 102824) ((-779 . -897) 102767) ((-777 . -897) 102751) ((-1281 . -38) 102721) ((-1279 . -38) 102691) ((-1232 . -1106) T) ((-852 . -1106) T) ((-454 . -897) 102668) ((-855 . -1094) T) ((-1232 . -23) T) ((-1114 . -614) 102640) ((-571 . -1106) T) ((-852 . -23) T) ((-621 . -723) T) ((-355 . -917) T) ((-352 . -917) T) ((-289 . -102) T) ((-344 . -917) T) ((-1057 . -131) T) ((-967 . -1077) T) ((-949 . -131) T) ((-117 . -791) NIL) ((-117 . -788) NIL) ((-117 . -723) T) ((-690 . -906) NIL) ((-1043 . -514) 102541) ((-481 . -131) T) ((-571 . -23) T) 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101734) ((-1021 . -644) 101671) ((-523 . -1094) 101649) ((-359 . -102) T) ((-353 . -102) T) ((-345 . -102) T) ((-108 . -102) T) ((-504 . -1094) T) ((-354 . -644) 101594) ((-1166 . -637) 101542) ((-1119 . -637) 101490) ((-385 . -509) 101469) ((-830 . -845) 101448) ((-379 . -1213) T) ((-690 . -723) T) ((-339 . -1053) T) ((-1223 . -989) 101400) ((-174 . -1053) T) ((-103 . -611) 101332) ((-1168 . -145) 101311) ((-1168 . -147) 101290) ((-379 . -556) T) ((-1167 . -147) 101269) ((-1167 . -145) 101248) ((-1161 . -145) 101155) ((-407 . -290) T) ((-1161 . -147) 101062) ((-1120 . -147) 101041) ((-1120 . -145) 101020) ((-319 . -38) 100861) ((-169 . -131) T) ((-313 . -792) NIL) ((-313 . -789) NIL) ((-650 . -1046) T) ((-48 . -644) 100826) ((-890 . -614) 100803) ((-1160 . -102) T) ((-991 . -102) T) ((-990 . -21) T) ((-127 . -1007) 100787) ((-121 . -1007) 100771) ((-990 . -25) T) ((-898 . -119) 100755) ((-1152 . -102) T) ((-813 . -847) 100734) ((-1232 . -131) T) ((-1166 . -25) T) ((-1166 . -21) T) 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((-581 . -307) T) ((-518 . -307) T) ((-294 . -514) 99759) ((-108 . -309) NIL) ((-72 . -395) T) ((-1107 . -102) 99549) ((-830 . -411) 99533) ((-1114 . -792) T) ((-1114 . -789) T) ((-697 . -1094) T) ((-578 . -611) 99515) ((-379 . -363) T) ((-169 . -493) 99493) ((-222 . -611) 99425) ((-134 . -1094) T) ((-116 . -1094) T) ((-48 . -723) T) ((-1043 . -489) 99390) ((-141 . -425) 99372) ((-141 . -368) T) ((-1024 . -102) T) ((-512 . -509) 99351) ((-709 . -614) 99107) ((-476 . -102) T) ((-463 . -102) T) ((-1031 . -1106) T) ((-1216 . -611) 99089) ((-1175 . -1035) 99025) ((-1168 . -35) 98991) ((-1168 . -95) 98957) ((-1168 . -1197) 98923) ((-1168 . -1194) 98889) ((-1152 . -309) NIL) ((-89 . -396) T) ((-89 . -395) T) ((-1074 . -1145) 98868) ((-1167 . -1194) 98834) ((-1167 . -1197) 98800) ((-1031 . -23) T) ((-1167 . -95) 98766) ((-571 . -493) T) ((-1167 . -35) 98732) ((-1161 . -1194) 98698) ((-1161 . -1197) 98664) ((-1161 . -95) 98630) ((-361 . -1106) T) ((-359 . -1145) 98609) ((-353 . -1145) 98588) ((-345 . -1145) 98567) ((-1161 . -35) 98533) ((-1120 . -35) 98499) ((-1120 . -95) 98465) ((-108 . -1145) T) ((-1120 . -1197) 98431) ((-830 . -1053) 98410) ((-643 . -309) 98348) ((-630 . -309) 98199) ((-1120 . -1194) 98165) ((-709 . -1046) T) ((-1057 . -637) 98147) ((-1074 . -38) 98015) ((-949 . -637) 97963) ((-1001 . -147) T) ((-1001 . -145) NIL) ((-379 . -1106) T) ((-324 . -25) T) ((-322 . -23) T) ((-940 . -847) 97942) ((-709 . -326) 97919) ((-481 . -637) 97867) ((-40 . -1035) 97755) ((-709 . -233) T) ((-697 . -714) 97742) ((-339 . -1094) T) ((-174 . -1094) T) ((-331 . -847) T) ((-418 . -452) 97692) ((-379 . -23) T) ((-359 . -38) 97657) ((-353 . -38) 97622) ((-345 . -38) 97587) ((-80 . -441) T) ((-80 . -395) T) ((-225 . -25) T) ((-225 . -21) T) ((-833 . -1106) T) ((-108 . -38) 97537) ((-824 . -1106) T) ((-771 . -1094) T) ((-116 . -714) 97524) ((-668 . -1035) 97508) ((-610 . -102) T) ((-833 . -23) T) ((-824 . -23) T) ((-1150 . -286) 97485) ((-1107 . -309) 97423) ((-1096 . -235) 97407) 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((-482 . -102) 96041) ((-99 . -473) T) ((-116 . -172) T) ((-1107 . -38) 96011) ((-169 . -637) 95959) ((-1050 . -102) T) ((-996 . -614) 95849) ((-868 . -25) T) ((-812 . -238) 95828) ((-868 . -21) T) ((-815 . -102) T) ((-414 . -102) T) ((-385 . -102) T) ((-110 . -309) NIL) ((-227 . -102) 95806) ((-127 . -1209) T) ((-121 . -1209) T) ((-1031 . -131) T) ((-666 . -367) 95790) ((-996 . -1046) T) ((-1232 . -637) 95738) ((-1098 . -611) 95720) ((-1000 . -611) 95702) ((-515 . -23) T) ((-510 . -23) T) ((-343 . -307) T) ((-508 . -23) T) ((-322 . -131) T) ((-3 . -1094) T) ((-1000 . -612) 95686) ((-996 . -243) 95665) ((-996 . -233) 95644) ((-1287 . -723) T) ((-1251 . -145) 95623) ((-830 . -1094) T) ((-1251 . -147) 95602) ((-1244 . -147) 95581) ((-1244 . -145) 95560) ((-1243 . -1213) 95539) ((-1223 . -145) 95446) ((-1223 . -147) 95353) ((-1222 . -1213) 95332) ((-379 . -131) T) ((-564 . -883) 95314) ((0 . -1094) T) ((-174 . -172) T) ((-169 . -21) T) ((-169 . -25) T) ((-49 . -1094) T) ((-1245 . -644) 95219) ((-1243 . -556) 95170) ((-711 . -1106) T) ((-1222 . -556) 95121) ((-564 . -1035) 95103) ((-594 . -147) 95082) ((-594 . -145) 95061) ((-495 . -1035) 95004) ((-1129 . -1131) T) ((-87 . -384) T) ((-87 . -395) T) ((-869 . -363) T) ((-833 . -131) T) ((-824 . -131) T) ((-711 . -23) T) ((-506 . -611) 94970) ((-502 . -611) 94952) ((-1283 . -1053) T) ((-379 . -1055) T) ((-1023 . -1094) 94930) ((-55 . -1035) 94912) ((-898 . -34) T) ((-482 . -309) 94850) ((-591 . -102) T) ((-1150 . -612) 94811) ((-1150 . -611) 94743) ((-1166 . -847) 94722) ((-45 . -102) T) ((-1119 . -847) 94701) ((-814 . -102) T) ((-1232 . -25) T) ((-1232 . -21) T) ((-852 . -25) T) ((-44 . -367) 94685) ((-852 . -21) T) ((-728 . -452) 94636) ((-1282 . -611) 94618) ((-1050 . -309) 94556) ((-667 . -1077) T) ((-604 . -1077) T) ((-390 . -1094) T) ((-571 . -25) T) ((-571 . -21) T) ((-180 . -1077) T) ((-161 . -1077) T) ((-156 . -1077) T) ((-154 . -1077) T) ((-619 . -1094) T) ((-695 . -883) 94538) ((-1259 . -1209) T) ((-227 . -309) 94476) ((-144 . -368) T) ((-1043 . -612) 94418) ((-1043 . -611) 94361) ((-313 . -906) NIL) ((-1217 . -841) T) ((-695 . -1035) 94306) ((-708 . -917) T) ((-474 . -1213) 94285) ((-1167 . -452) 94264) ((-1161 . -452) 94243) ((-330 . -102) T) ((-869 . -1106) T) ((-316 . -644) 94064) ((-313 . -644) 93993) ((-474 . -556) 93944) ((-339 . -514) 93910) ((-550 . -151) 93860) ((-40 . -307) T) ((-840 . -611) 93842) ((-697 . -290) T) ((-869 . -23) T) ((-379 . -493) T) ((-1074 . -231) 93812) ((-512 . -102) T) ((-407 . -612) 93619) ((-407 . -611) 93601) ((-263 . -611) 93583) ((-116 . -290) T) ((-1245 . -723) T) ((-1243 . -363) 93562) ((-1222 . -363) 93541) ((-1272 . -34) T) ((-1217 . -1094) T) ((-117 . -1209) T) ((-108 . -231) 93523) ((-1172 . -102) T) ((-477 . -1094) T) ((-523 . -489) 93507) ((-734 . -34) T) ((-482 . -38) 93477) ((-141 . -34) T) ((-117 . -881) 93454) ((-117 . -883) NIL) ((-621 . -1035) 93337) ((-641 . -847) 93316) ((-1271 . -102) T) ((-295 . -102) T) ((-709 . -368) 93295) 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-23) T) ((-715 . -1106) T) ((-711 . -131) T) ((-649 . -102) T) ((-477 . -714) 92048) ((-45 . -282) 91998) ((-105 . -1094) T) ((-68 . -611) 91980) ((-967 . -102) T) ((-861 . -102) T) ((-621 . -897) 91939) ((-1283 . -1094) T) ((-381 . -1094) T) ((-1208 . -1094) T) ((-1107 . -231) 91908) ((-82 . -1209) T) ((-1057 . -847) T) ((-949 . -847) 91887) ((-117 . -897) NIL) ((-779 . -917) 91866) ((-710 . -847) T) ((-531 . -1094) T) ((-500 . -1094) T) ((-355 . -1213) T) ((-352 . -1213) T) ((-344 . -1213) T) ((-264 . -1213) 91845) ((-247 . -1213) 91824) ((-533 . -857) T) ((-481 . -847) 91803) ((-1152 . -825) T) ((-1136 . -1052) 91787) ((-390 . -758) T) ((-690 . -1209) T) ((-687 . -1035) 91771) ((-355 . -556) T) ((-352 . -556) T) ((-344 . -556) T) ((-264 . -556) 91702) ((-247 . -556) 91633) ((-525 . -1077) T) ((-1136 . -111) 91612) ((-453 . -741) 91582) ((-863 . -1052) 91552) ((-814 . -38) 91494) ((-690 . -881) 91476) ((-690 . -883) 91458) ((-295 . -309) 91262) ((-907 . -1213) T) ((-666 . -411) 91246) ((-863 . -111) 91211) ((-690 . -1035) 91156) ((-1001 . -452) T) ((-907 . -556) T) ((-533 . -611) 91138) ((-581 . -917) T) ((-474 . -1106) T) ((-518 . -917) T) ((-1150 . -288) 91115) ((-911 . -452) T) ((-65 . -611) 91097) ((-630 . -229) 91043) ((-474 . -23) T) ((-1114 . -791) T) ((-869 . -131) T) ((-1114 . -788) T) ((-1274 . -1276) 91022) ((-1114 . -723) T) ((-650 . -644) 90996) ((-294 . -611) 90737) ((-1136 . -614) 90655) ((-1032 . -34) T) ((-812 . -845) 90634) ((-580 . -307) T) ((-564 . -307) T) ((-495 . -307) T) ((-1283 . -714) 90604) ((-690 . -377) 90586) ((-690 . -338) 90568) ((-477 . -172) T) ((-381 . -714) 90538) ((-863 . -614) 90473) ((-868 . -847) NIL) ((-564 . -1019) T) ((-495 . -1019) T) ((-1127 . -611) 90455) ((-1107 . -238) 90434) ((-214 . -102) T) ((-1144 . -102) T) ((-71 . -611) 90416) ((-1136 . -1046) T) ((-1172 . -38) 90313) ((-855 . -611) 90295) ((-564 . -545) T) ((-666 . -1053) T) ((-728 . -946) 90248) ((-1136 . -233) 90227) ((-1076 . -1094) T) ((-1031 . -25) T) ((-1031 . -21) T) ((-1000 . -1052) 90172) ((-902 . -102) T) ((-863 . -1046) T) ((-690 . -897) NIL) ((-355 . -329) 90156) ((-355 . -363) T) ((-352 . -329) 90140) ((-352 . -363) T) ((-344 . -329) 90124) ((-344 . -363) T) ((-487 . -102) T) ((-1271 . -38) 90094) ((-546 . -847) T) ((-523 . -683) 90044) ((-217 . -102) T) ((-1021 . -1035) 89924) ((-1000 . -111) 89853) ((-1168 . -970) 89822) ((-1167 . -970) 89784) ((-520 . -151) 89768) ((-1074 . -370) 89747) ((-351 . -611) 89729) ((-322 . -21) T) ((-354 . -1035) 89706) ((-322 . -25) T) ((-1161 . -970) 89675) ((-1120 . -970) 89642) ((-76 . -611) 89624) ((-695 . -307) T) ((-169 . -847) 89603) ((-129 . -841) T) ((-907 . -363) T) ((-379 . -25) T) ((-379 . -21) T) ((-907 . -329) 89590) ((-86 . -611) 89572) ((-695 . -1019) T) ((-673 . -847) T) ((-1243 . -131) T) ((-1222 . -131) T) ((-898 . -1007) 89556) ((-833 . -21) T) ((-48 . -1035) 89499) ((-833 . -25) T) ((-824 . -25) T) ((-824 . -21) T) ((-1281 . -1053) T) ((-549 . -102) T) ((-1279 . -1053) T) ((-650 . -723) T) ((-1098 . -616) 89402) ((-1000 . -614) 89332) ((-1282 . -1052) 89316) ((-1232 . -847) 89295) ((-812 . -411) 89264) ((-103 . -119) 89248) ((-129 . -1094) T) ((-52 . -1094) T) ((-923 . -611) 89230) ((-868 . -989) 89207) ((-820 . -102) T) ((-1282 . -111) 89186) ((-649 . -38) 89156) ((-571 . -847) T) ((-355 . -1106) T) ((-352 . -1106) T) ((-344 . -1106) T) ((-264 . -1106) T) ((-247 . -1106) T) ((-621 . -307) 89135) ((-1144 . -309) 88939) ((-524 . -1077) T) ((-311 . -1094) T) ((-660 . -23) T) ((-482 . -231) 88908) ((-152 . -1053) T) ((-355 . -23) T) ((-352 . -23) T) ((-344 . -23) T) ((-117 . -307) T) ((-264 . -23) T) ((-247 . -23) T) ((-1000 . -1046) T) ((-709 . -906) 88887) ((-1150 . -614) 88864) ((-1000 . -233) 88836) ((-1000 . -243) T) ((-117 . -1019) NIL) ((-907 . -1106) T) ((-1244 . -452) 88815) ((-1223 . -452) 88794) ((-523 . -611) 88726) ((-709 . -644) 88651) ((-407 . -1052) 88603) ((-504 . -611) 88585) ((-907 . -23) T) ((-487 . -309) NIL) ((-1282 . -614) 88541) 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-1219) 87595) ((-407 . -1046) T) ((-319 . -1053) T) ((-690 . -307) T) ((-108 . -845) T) ((-709 . -723) T) ((-407 . -243) T) ((-407 . -233) 87574) ((-487 . -38) 87524) ((-217 . -38) 87474) ((-474 . -493) 87440) ((-1216 . -368) T) ((-1152 . -1138) T) ((-1095 . -102) T) ((-697 . -611) 87422) ((-697 . -612) 87337) ((-711 . -21) T) ((-711 . -25) T) ((-1129 . -102) T) ((-134 . -611) 87319) ((-116 . -611) 87301) ((-157 . -25) T) ((-1281 . -1094) T) ((-869 . -637) 87249) ((-1279 . -1094) T) ((-960 . -102) T) ((-732 . -102) T) ((-712 . -102) T) ((-453 . -102) T) ((-813 . -452) 87200) ((-44 . -1094) T) ((-1082 . -847) T) ((-660 . -131) T) ((-1058 . -309) 87051) ((-666 . -714) 87035) ((-289 . -1053) T) ((-355 . -131) T) ((-352 . -131) T) ((-344 . -131) T) ((-264 . -131) T) ((-247 . -131) T) ((-418 . -102) T) ((-152 . -1094) T) ((-45 . -229) 86985) ((-955 . -847) 86964) ((-996 . -644) 86902) ((-240 . -1266) 86872) ((-1021 . -307) T) ((-294 . -1052) 86793) ((-907 . -131) T) ((-40 . -917) T) ((-487 . -400) 86775) ((-354 . -307) T) ((-217 . -400) 86757) ((-1074 . -411) 86741) ((-294 . -111) 86657) ((-1177 . -847) T) ((-1176 . -847) T) ((-869 . -25) T) ((-869 . -21) T) ((-339 . -611) 86639) ((-1245 . -47) 86583) ((-225 . -147) T) ((-174 . -611) 86565) ((-1107 . -845) 86544) ((-771 . -611) 86526) ((-128 . -847) T) ((-606 . -235) 86473) ((-475 . -235) 86423) ((-1281 . -714) 86393) ((-48 . -307) T) ((-1279 . -714) 86363) ((-65 . -614) 86292) ((-961 . -1094) T) ((-812 . -1094) 86082) ((-312 . -102) T) ((-898 . -1209) T) ((-48 . -1019) T) ((-1222 . -637) 85990) ((-685 . -102) 85968) ((-44 . -714) 85952) ((-550 . -102) T) ((-294 . -614) 85883) ((-67 . -383) T) ((-67 . -395) T) ((-658 . -23) T) ((-666 . -758) T) ((-1206 . -1094) 85861) ((-351 . -1052) 85806) ((-671 . -1094) 85784) ((-1057 . -147) T) ((-949 . -147) 85763) ((-949 . -145) 85742) ((-796 . -102) T) ((-152 . -714) 85726) ((-481 . -147) 85705) ((-481 . -145) 85684) ((-351 . -111) 85613) ((-1074 . -1053) T) ((-322 . -847) 85592) ((-1251 . -970) 85561) ((-625 . -1094) T) ((-1244 . -970) 85523) ((-511 . -131) T) ((-507 . -131) T) ((-295 . -229) 85473) ((-359 . -1053) T) ((-353 . -1053) T) ((-345 . -1053) T) ((-294 . -1046) 85415) ((-1223 . -970) 85384) ((-379 . -847) T) ((-108 . -1053) T) ((-996 . -723) T) ((-867 . -917) T) ((-840 . -792) 85363) ((-840 . -789) 85342) ((-418 . -309) 85281) ((-468 . -102) T) ((-594 . -970) 85250) ((-319 . -1094) T) ((-407 . -792) 85229) ((-407 . -789) 85208) ((-500 . -489) 85190) ((-1245 . -1035) 85156) ((-1243 . -21) T) ((-1243 . -25) T) ((-1222 . -21) T) ((-1222 . -25) T) ((-812 . -714) 85098) ((-351 . -614) 85028) ((-695 . -404) T) ((-1272 . -1209) T) ((-604 . -102) T) ((-1107 . -411) 84997) ((-1000 . -368) NIL) ((-667 . -102) T) ((-180 . -102) T) ((-161 . -102) T) ((-156 . -102) T) ((-154 . -102) T) ((-103 . -34) T) ((-734 . -1209) T) ((-44 . -758) T) ((-592 . -102) T) ((-77 . -396) T) ((-77 . -395) T) ((-649 . -652) 84981) ((-141 . -1209) T) ((-868 . -147) T) ((-868 . -145) NIL) ((-1208 . -93) T) ((-351 . -1046) T) ((-70 . -383) T) ((-70 . -395) T) ((-1159 . -102) T) ((-666 . -514) 84914) ((-685 . -309) 84852) ((-960 . -38) 84749) ((-732 . -38) 84719) ((-550 . -309) 84523) ((-316 . -1209) T) ((-351 . -233) T) ((-351 . -243) T) ((-313 . -1209) T) ((-289 . -1094) T) ((-1174 . -611) 84505) ((-708 . -1213) T) ((-1150 . -647) 84489) ((-1203 . -556) 84468) ((-708 . -556) T) ((-316 . -881) 84452) ((-316 . -883) 84377) ((-313 . -881) 84338) ((-313 . -883) NIL) ((-796 . -309) 84303) ((-319 . -714) 84144) ((-324 . -323) 84121) ((-485 . -102) T) ((-474 . -25) T) ((-474 . -21) T) ((-418 . -38) 84095) ((-316 . -1035) 83758) ((-225 . -1194) T) ((-225 . -1197) T) ((-3 . -611) 83740) ((-313 . -1035) 83670) ((-2 . -1094) T) ((-2 . |RecordCategory|) T) ((-830 . -611) 83652) ((-1107 . -1053) 83582) ((-580 . -917) T) ((-564 . -817) T) ((-564 . -917) T) ((-495 . -917) T) ((-136 . -1035) 83566) ((-225 . -95) T) ((-75 . -441) T) ((-75 . -395) T) ((0 . -611) 83548) ((-169 . -147) 83527) ((-169 . -145) 83478) ((-225 . -35) T) ((-49 . -611) 83460) ((-477 . -1053) T) ((-487 . -231) 83442) ((-484 . -965) 83426) ((-482 . -845) 83405) ((-217 . -231) 83387) ((-81 . -441) T) ((-81 . -395) T) ((-1140 . -34) T) ((-812 . -172) 83366) ((-728 . -102) T) ((-1023 . -611) 83333) ((-500 . -286) 83308) ((-316 . -377) 83277) ((-313 . -377) 83238) ((-313 . -338) 83199) ((-1079 . -611) 83181) ((-813 . -946) 83128) ((-658 . -131) T) ((-1232 . -145) 83107) ((-1232 . -147) 83086) ((-1168 . -102) T) ((-1167 . -102) T) ((-1161 . -102) T) ((-1153 . -1094) T) ((-1120 . -102) T) ((-222 . -34) T) ((-289 . -714) 83073) ((-1153 . -608) 83049) ((-592 . -309) NIL) ((-484 . -1094) 83027) ((-390 . -611) 83009) ((-510 . -847) T) ((-1144 . -229) 82959) ((-1251 . -1250) 82943) ((-1251 . -1237) 82920) ((-1244 . -1242) 82881) ((-1244 . -1237) 82851) ((-1244 . -1240) 82835) ((-1223 . -1221) 82796) ((-1223 . -1237) 82773) ((-619 . -611) 82755) ((-1223 . -1219) 82739) ((-695 . -917) T) ((-1168 . -284) 82705) ((-1167 . -284) 82671) ((-1161 . -284) 82637) ((-1074 . -1094) T) ((-1056 . -1094) T) ((-48 . -302) T) ((-316 . -897) 82603) ((-313 . -897) NIL) ((-1056 . -1063) 82582) ((-1114 . -883) 82564) ((-796 . -38) 82548) ((-264 . -637) 82496) ((-247 . -637) 82444) ((-697 . -1052) 82431) ((-594 . -1237) 82408) ((-1120 . -284) 82374) ((-319 . -172) 82305) ((-359 . -1094) T) ((-353 . -1094) T) ((-345 . -1094) T) ((-500 . -19) 82287) ((-1114 . -1035) 82269) ((-1096 . -151) 82253) ((-108 . -1094) T) ((-116 . -1052) 82240) ((-708 . -363) T) ((-500 . -602) 82215) ((-697 . -111) 82200) ((-436 . -102) T) ((-45 . -1143) 82150) ((-116 . -111) 82135) ((-633 . -717) T) ((-605 . -717) T) ((-812 . -514) 82068) ((-1032 . -1209) T) ((-940 . -151) 82052) ((-1217 . -611) 82034) ((-1166 . -452) 81965) ((-1160 . -1094) T) ((-1152 . -1094) T) ((-525 . -102) T) ((-520 . -102) 81915) ((-1136 . -644) 81889) ((-1119 . -452) 81840) ((-1081 . -1213) 81819) ((-779 . -1213) 81798) ((-777 . -1213) 81777) ((-62 . -1209) T) ((-477 . -611) 81729) ((-477 . -612) 81651) ((-1081 . -556) 81582) ((-991 . -1094) T) ((-779 . -556) 81493) ((-777 . -556) 81424) ((-482 . -411) 81393) ((-621 . -917) 81372) ((-454 . -1213) 81351) ((-728 . -309) 81338) ((-697 . -614) 81310) ((-398 . -611) 81292) ((-671 . -514) 81225) ((-660 . -25) T) ((-660 . -21) T) ((-454 . -556) 81156) ((-355 . -25) T) ((-355 . -21) T) ((-117 . -917) T) ((-117 . -817) NIL) ((-352 . -25) T) ((-352 . -21) T) ((-344 . -25) T) ((-344 . -21) T) ((-264 . -25) T) ((-264 . -21) T) ((-247 . -25) T) ((-247 . -21) T) ((-83 . -384) T) ((-83 . -395) T) ((-134 . -614) 81138) ((-116 . -614) 81110) ((-1261 . -611) 81092) ((-1215 . -847) T) ((-1203 . -1106) T) ((-1203 . -23) T) ((-1161 . -309) 80977) ((-1120 . -309) 80964) ((-1074 . -714) 80832) ((-863 . -644) 80792) ((-940 . -977) 80776) ((-907 . -21) T) ((-289 . -172) T) ((-907 . -25) T) ((-311 . -93) T) ((-869 . -847) 80727) ((-708 . -1106) T) ((-708 . -23) T) ((-697 . -1046) T) ((-643 . -1094) 80705) 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79594) ((-73 . -1209) T) ((-105 . -611) 79576) ((-1283 . -611) 79558) ((-381 . -611) 79540) ((-339 . -614) 79492) ((-174 . -614) 79409) ((-1208 . -490) 79390) ((-728 . -38) 79239) ((-571 . -1197) T) ((-571 . -1194) T) ((-531 . -611) 79221) ((-520 . -309) 79159) ((-500 . -611) 79141) ((-500 . -612) 79123) ((-1208 . -611) 79089) ((-1161 . -1145) NIL) ((-1024 . -1066) 79058) ((-1024 . -1094) T) ((-1001 . -102) T) ((-968 . -102) T) ((-911 . -102) T) ((-890 . -1035) 79035) ((-1136 . -723) T) ((-1000 . -644) 78980) ((-476 . -1094) T) ((-463 . -1094) T) ((-585 . -23) T) ((-571 . -35) T) ((-571 . -95) T) ((-427 . -102) T) ((-1058 . -229) 78926) ((-1168 . -38) 78823) ((-863 . -723) T) ((-690 . -917) T) ((-511 . -25) T) ((-507 . -21) T) ((-507 . -25) T) ((-1167 . -38) 78664) ((-339 . -1046) T) ((-1161 . -38) 78460) ((-1074 . -172) T) ((-174 . -1046) T) ((-1120 . -38) 78357) ((-709 . -47) 78334) ((-359 . -172) T) ((-353 . -172) T) ((-519 . -57) 78308) ((-497 . -57) 78258) ((-351 . -1278) 78235) 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. -611) 77339) ((-1076 . -612) 77320) ((-407 . -906) 77299) ((-50 . -1106) T) ((-1021 . -917) T) ((-1000 . -723) T) ((-709 . -883) NIL) ((-581 . -1106) T) ((-518 . -1106) T) ((-840 . -644) 77272) ((-1203 . -131) T) ((-1161 . -400) 77224) ((-1001 . -309) NIL) ((-812 . -489) 77208) ((-354 . -917) T) ((-1150 . -34) T) ((-407 . -644) 77160) ((-50 . -23) T) ((-708 . -131) T) ((-709 . -1035) 77040) ((-581 . -23) T) ((-108 . -514) NIL) ((-518 . -23) T) ((-169 . -409) 77011) ((-1134 . -1094) T) ((-1274 . -1273) 76995) ((-697 . -792) T) ((-697 . -789) T) ((-1114 . -307) T) ((-379 . -147) T) ((-280 . -611) 76977) ((-1222 . -989) 76947) ((-48 . -917) T) ((-671 . -489) 76931) ((-251 . -1266) 76901) ((-250 . -1266) 76871) ((-1170 . -847) T) ((-1107 . -172) 76850) ((-1114 . -1019) T) ((-1043 . -34) T) ((-833 . -147) 76829) ((-833 . -145) 76808) ((-734 . -107) 76792) ((-610 . -132) T) ((-482 . -1094) 76582) ((-1172 . -1053) T) ((-868 . -452) T) ((-85 . -1209) T) ((-240 . -38) 76552) ((-141 . -107) 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. -102) T) ((-1119 . -102) T) ((-851 . -102) T) ((-227 . -489) 67106) ((-1281 . -111) 67085) ((-1279 . -111) 67064) ((-44 . -1052) 67048) ((-1232 . -1235) 67032) ((-852 . -849) 67016) ((-1281 . -614) 66962) ((-1172 . -290) 66941) ((-110 . -286) 66916) ((-1214 . -1094) T) ((-128 . -151) 66898) ((-1136 . -897) 66857) ((-44 . -111) 66836) ((-1175 . -1254) T) ((-1160 . -490) 66817) ((-1160 . -611) 66783) ((-1152 . -612) NIL) ((-666 . -1046) T) ((-1152 . -611) 66765) ((-1058 . -608) 66740) ((-1058 . -1094) T) ((-991 . -490) 66721) ((-991 . -611) 66687) ((-74 . -441) T) ((-74 . -395) T) ((-699 . -1094) T) ((-152 . -1052) 66671) ((-666 . -233) 66650) ((-571 . -554) 66634) ((-355 . -147) 66613) ((-355 . -145) 66564) ((-352 . -147) 66543) ((-352 . -145) 66494) ((-344 . -147) 66473) ((-344 . -145) 66424) ((-264 . -145) 66403) ((-264 . -147) 66382) ((-251 . -38) 66352) ((-247 . -147) 66331) ((-117 . -363) T) ((-247 . -145) 66310) ((-250 . -38) 66280) ((-152 . -111) 66259) ((-1000 . -1035) 66147) 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-\ No newline at end of file
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153194) ((-327 . -514) 153127) ((-496 . -286) 153104) ((-379 . -243) T) ((-379 . -233) T) ((-833 . -1046) T) ((-824 . -1046) T) ((-709 . -946) 153073) ((-697 . -847) T) ((-474 . -611) 153055) ((-824 . -233) 153034) ((-134 . -847) T) ((-654 . -1094) T) ((-1182 . -602) 153013) ((-550 . -1185) 152992) ((-336 . -1094) T) ((-319 . -363) 152971) ((-407 . -147) 152950) ((-407 . -145) 152929) ((-961 . -1106) 152828) ((-240 . -897) 152760) ((-812 . -1106) 152670) ((-650 . -849) 152654) ((-479 . -602) 152633) ((-550 . -107) 152583) ((-1001 . -377) 152565) ((-1001 . -338) 152547) ((-97 . -1094) T) ((-961 . -23) 152358) ((-477 . -21) T) ((-477 . -25) T) ((-812 . -23) 152228) ((-1170 . -611) 152210) ((-59 . -19) 152194) ((-1170 . -612) 152116) ((-1166 . -723) T) ((-1119 . -723) T) ((-516 . -19) 152100) ((-496 . -19) 152084) ((-59 . -602) 152061) ((-1081 . -1094) T) ((-898 . -102) 152039) ((-851 . -723) T) ((-779 . -1094) T) ((-516 . -602) 152016) ((-496 . -602) 151993) ((-777 . -1094) T) ((-777 . 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-556) T) ((-654 . -714) 151400) ((-1161 . -1019) NIL) ((-218 . -614) 151381) ((-319 . -23) T) ((-67 . -1209) T) ((-997 . -611) 151313) ((-690 . -231) 151295) ((-711 . -111) 151260) ((-641 . -34) T) ((-245 . -489) 151244) ((-1096 . -1092) 151228) ((-171 . -1094) T) ((-949 . -906) 151207) ((-515 . -614) 151191) ((-1287 . -1145) T) ((-1283 . -21) T) ((-481 . -906) 151170) ((-1283 . -25) T) ((-1281 . -131) T) ((-1279 . -131) T) ((-1272 . -102) T) ((-1255 . -611) 151136) ((-1244 . -1035) 151071) ((-1081 . -714) 150920) ((-1057 . -644) 150907) ((-949 . -644) 150832) ((-779 . -714) 150661) ((-536 . -611) 150643) ((-536 . -612) 150624) ((-777 . -714) 150473) ((-1223 . -1209) 150452) ((-1071 . -102) T) ((-381 . -25) T) ((-381 . -21) T) ((-481 . -644) 150377) ((-461 . -714) 150348) ((-454 . -714) 150197) ((-984 . -102) T) ((-1223 . -883) NIL) ((-1223 . -881) 150149) ((-1182 . -612) NIL) ((-734 . -102) T) ((-1182 . -611) 150131) ((-603 . -614) 150113) ((-1136 . -1117) 150058) ((-1043 . -1202) 149987) ((-531 . -25) T) ((-898 . -309) 149925) ((-711 . -614) 149879) ((-343 . -1053) T) ((-642 . -490) 149860) ((-141 . -102) T) ((-44 . -131) T) ((-289 . -1106) T) ((-677 . -93) T) ((-672 . -93) T) ((-660 . -611) 149842) ((-642 . -611) 149795) ((-478 . -93) T) ((-355 . -611) 149777) ((-352 . -611) 149759) ((-344 . -611) 149741) ((-264 . -612) 149489) ((-264 . -611) 149471) ((-247 . -611) 149453) ((-247 . -612) 149314) ((-133 . -93) T) ((-138 . -93) T) ((-137 . -93) T) ((-1223 . -1035) 149280) ((-1203 . -514) 149247) ((-1135 . -611) 149229) ((-816 . -854) T) ((-816 . -723) T) ((-600 . -288) 149206) ((-581 . -714) 149171) ((-479 . -612) NIL) ((-479 . -611) 149153) ((-518 . -714) 149098) ((-316 . -102) T) ((-313 . -102) T) ((-289 . -23) T) ((-152 . -131) T) ((-907 . -611) 149080) ((-386 . -723) T) ((-869 . -1052) 149032) ((-907 . -612) 149014) ((-869 . -111) 148952) ((-711 . -1046) T) ((-709 . -1235) 148936) ((-139 . -102) T) ((-136 . -102) T) ((-114 . -102) T) ((-690 . -349) NIL) 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147203) ((-1251 . -897) 147116) ((-481 . -723) T) ((-1244 . -897) 147022) ((-1243 . -1052) 146857) ((-1223 . -897) 146690) ((-1222 . -1052) 146498) ((-1203 . -290) 146477) ((-1179 . -1209) T) ((-1177 . -368) T) ((-1176 . -368) T) ((-1140 . -151) 146461) ((-1114 . -102) T) ((-1112 . -1094) T) ((-1074 . -23) T) ((-1069 . -102) T) ((-924 . -952) T) ((-734 . -309) 146399) ((-75 . -1209) T) ((-30 . -952) T) ((-169 . -906) 146352) ((-660 . -382) 146324) ((-112 . -841) T) ((-1 . -611) 146306) ((-1074 . -1106) T) ((-128 . -647) 146288) ((-50 . -618) 146272) ((-1000 . -409) 146244) ((-594 . -897) 146157) ((-438 . -102) T) ((-141 . -309) NIL) ((-128 . -373) 146139) ((-869 . -1046) T) ((-830 . -847) 146118) ((-81 . -1209) T) ((-708 . -290) T) ((-40 . -1053) T) ((-581 . -172) T) ((-518 . -172) T) ((-511 . -611) 146100) ((-169 . -644) 146010) ((-507 . -611) 145992) ((-351 . -147) 145974) ((-351 . -145) T) ((-359 . -1106) T) ((-353 . -1106) T) ((-345 . -1106) T) ((-1001 . -307) T) ((-911 . -307) T) 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-1053) T) ((-536 . -616) 139654) ((-343 . -172) T) ((-88 . -611) 139636) ((-152 . -21) T) ((-152 . -25) T) ((-907 . -111) 139592) ((-40 . -714) 139537) ((-867 . -1094) T) ((-660 . -614) 139514) ((-642 . -614) 139495) ((-355 . -614) 139432) ((-352 . -614) 139369) ((-547 . -1094) T) ((-344 . -614) 139306) ((-327 . -612) 139267) ((-327 . -611) 139179) ((-264 . -614) 138932) ((-247 . -614) 138717) ((-1222 . -789) 138670) ((-1222 . -792) 138623) ((-251 . -377) 138592) ((-250 . -377) 138561) ((-650 . -38) 138531) ((-606 . -34) T) ((-482 . -1106) 138441) ((-475 . -34) T) ((-1107 . -131) 138311) ((-961 . -25) 138122) ((-907 . -614) 138072) ((-871 . -611) 138054) ((-961 . -21) 138009) ((-812 . -21) 137919) ((-812 . -25) 137770) ((-1215 . -368) T) ((-621 . -1053) T) ((-1172 . -556) 137749) ((-1166 . -47) 137726) ((-355 . -1046) T) ((-352 . -1046) T) ((-482 . -23) 137596) ((-344 . -1046) T) ((-247 . -1046) T) ((-264 . -1046) T) ((-1119 . -47) 137568) ((-117 . -1053) T) ((-1031 . -644) 137542) 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134891) ((-487 . -556) T) ((-478 . -614) 134872) ((-359 . -25) T) ((-359 . -21) T) ((-353 . -25) T) ((-217 . -556) T) ((-353 . -21) T) ((-345 . -25) T) ((-345 . -21) T) ((-245 . -614) 134849) ((-138 . -614) 134830) ((-137 . -614) 134811) ((-133 . -614) 134792) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1053) T) ((-580 . -172) T) ((-564 . -172) T) ((-495 . -172) T) ((-654 . -611) 134774) ((-734 . -733) 134758) ((-336 . -611) 134740) ((-68 . -383) T) ((-68 . -395) T) ((-1096 . -107) 134724) ((-1057 . -883) 134706) ((-949 . -883) 134631) ((-649 . -1106) T) ((-621 . -714) 134618) ((-481 . -883) NIL) ((-1140 . -102) T) ((-1088 . -616) 134602) ((-1057 . -1035) 134584) ((-97 . -611) 134566) ((-477 . -147) T) ((-949 . -1035) 134446) ((-117 . -714) 134391) ((-649 . -23) T) ((-481 . -1035) 134267) ((-1081 . -612) NIL) ((-1081 . -611) 134249) ((-779 . -612) NIL) ((-779 . -611) 134210) ((-777 . -612) 133844) ((-777 . -611) 133758) ((-1107 . -637) 133664) ((-461 . -611) 133646) ((-454 . -611) 133628) ((-454 . -612) 133489) ((-1032 . -229) 133435) ((-869 . -906) 133414) ((-126 . -34) T) ((-814 . -131) T) ((-645 . -611) 133396) ((-578 . -102) T) ((-355 . -1278) 133380) ((-352 . -1278) 133364) ((-344 . -1278) 133348) ((-127 . -514) 133281) ((-121 . -514) 133214) ((-511 . -789) T) ((-511 . -792) T) ((-510 . -791) T) ((-103 . -309) 133152) ((-222 . -102) 133130) ((-690 . -1094) T) ((-695 . -172) T) ((-869 . -644) 133082) ((-65 . -384) T) ((-275 . -611) 133064) ((-65 . -395) T) ((-949 . -377) 133048) ((-867 . -290) T) ((-50 . -611) 133030) ((-996 . -38) 132978) ((-581 . -611) 132960) ((-481 . -377) 132944) ((-581 . -612) 132926) ((-518 . -611) 132908) ((-907 . -1278) 132895) ((-868 . -1209) T) ((-697 . -452) T) ((-495 . -514) 132861) ((-487 . -363) T) ((-355 . -368) 132840) ((-352 . -368) 132819) ((-344 . -368) 132798) ((-711 . -723) T) ((-217 . -363) T) ((-116 . -452) T) ((-1282 . -1273) 132782) ((-868 . -881) 132759) ((-868 . -883) NIL) ((-961 . -847) 132658) ((-812 . -847) 132609) ((-1216 . -102) T) ((-650 . -652) 132593) ((-1195 . -34) T) ((-171 . -611) 132575) ((-1107 . -21) 132485) ((-1107 . -25) 132336) ((-868 . -1035) 132313) ((-949 . -897) 132294) ((-1232 . -47) 132271) ((-907 . -368) T) ((-59 . -647) 132255) ((-516 . -647) 132239) ((-481 . -897) 132216) ((-71 . -441) T) ((-71 . -395) T) ((-496 . -647) 132200) ((-59 . -373) 132184) ((-621 . -172) T) ((-516 . -373) 132168) ((-496 . -373) 132152) ((-824 . -705) 132136) ((-1166 . -307) 132115) ((-1172 . -131) T) ((-117 . -172) T) ((-1140 . -309) 132053) ((-169 . -1209) T) ((-633 . -741) 132037) ((-605 . -741) 132021) ((-1271 . -131) T) ((-1244 . -917) 132000) ((-1223 . -917) 131979) ((-1223 . -817) NIL) ((-690 . -714) 131929) ((-1222 . -906) 131882) ((-1021 . -1094) T) ((-868 . -377) 131859) ((-868 . -338) 131836) ((-902 . -1106) T) ((-169 . -881) 131820) ((-169 . -883) 131745) ((-487 . -1106) T) ((-354 . -1094) T) ((-217 . -1106) T) ((-76 . -441) T) ((-76 . -395) T) ((-169 . -1035) 131641) ((-319 . -847) T) ((-1259 . -514) 131574) ((-1243 . -644) 131471) ((-1222 . -644) 131341) ((-869 . -791) 131320) ((-869 . -788) 131299) ((-869 . -723) T) ((-487 . -23) T) ((-223 . -611) 131281) ((-174 . -452) T) ((-222 . -309) 131219) ((-86 . -441) T) ((-86 . -395) T) ((-217 . -23) T) ((-1283 . -1276) 131198) ((-580 . -290) T) ((-564 . -290) T) ((-673 . -1035) 131182) ((-495 . -290) T) ((-136 . -470) 131137) ((-48 . -1094) T) ((-709 . -231) 131121) ((-868 . -897) NIL) ((-1232 . -883) NIL) ((-886 . -102) T) ((-882 . -102) T) ((-388 . -1094) T) ((-169 . -377) 131105) ((-169 . -338) 131089) ((-1232 . -1035) 130969) ((-852 . -1035) 130865) ((-1136 . -102) T) ((-649 . -131) T) ((-117 . -514) 130773) ((-658 . -789) 130752) ((-658 . -792) 130731) ((-571 . -1035) 130713) ((-294 . -1266) 130683) ((-863 . -102) T) ((-960 . -556) 130662) ((-1203 . -1052) 130545) ((-482 . -637) 130451) ((-901 . -1094) T) ((-1021 . -714) 130388) ((-708 . -1052) 130353) ((-615 . -102) T) ((-600 . -34) T) ((-1141 . -1209) T) 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123918) ((-1279 . -1276) 123897) ((-1245 . -1094) T) ((-867 . -611) 123879) ((-833 . -1035) 123848) ((-203 . -784) T) ((-202 . -784) T) ((-201 . -784) T) ((-200 . -784) T) ((-199 . -784) T) ((-198 . -784) T) ((-197 . -784) T) ((-196 . -784) T) ((-195 . -784) T) ((-194 . -784) T) ((-547 . -611) 123830) ((-495 . -999) T) ((-274 . -836) T) ((-273 . -836) T) ((-272 . -836) T) ((-271 . -836) T) ((-48 . -290) T) ((-270 . -836) T) ((-269 . -836) T) ((-268 . -836) T) ((-193 . -784) T) ((-610 . -847) T) ((-650 . -411) 123814) ((-223 . -614) 123776) ((-110 . -847) T) ((-649 . -21) T) ((-649 . -25) T) ((-1282 . -38) 123746) ((-117 . -286) 123697) ((-1259 . -19) 123681) ((-1259 . -602) 123658) ((-1272 . -1094) T) ((-1071 . -1094) T) ((-984 . -1094) T) ((-960 . -131) T) ((-734 . -1094) T) ((-732 . -131) T) ((-712 . -131) T) ((-511 . -790) T) ((-407 . -1145) 123636) ((-453 . -131) T) ((-511 . -791) T) ((-223 . -1046) T) ((-294 . -102) 123418) ((-141 . -1094) T) ((-695 . -999) T) ((-91 . -1209) T) 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121788) ((-898 . -514) 121721) ((-343 . -1046) T) ((-117 . -612) NIL) ((-117 . -611) 121703) ((-869 . -1209) T) ((-666 . -417) 121687) ((-666 . -1117) 121632) ((-500 . -151) 121614) ((-343 . -233) T) ((-343 . -243) T) ((-40 . -1052) 121559) ((-869 . -881) 121543) ((-869 . -883) 121468) ((-709 . -1053) T) ((-690 . -999) NIL) ((-3 . |UnionCategory|) T) ((-1243 . -47) 121438) ((-1222 . -47) 121415) ((-1135 . -1007) 121386) ((-225 . -917) T) ((-40 . -111) 121315) ((-869 . -1035) 121179) ((-1114 . -714) 121166) ((-1099 . -611) 121148) ((-1074 . -147) 121127) ((-1074 . -145) 121078) ((-1001 . -363) T) ((-319 . -1197) 121044) ((-379 . -307) T) ((-319 . -1194) 121010) ((-316 . -172) 120989) ((-313 . -172) T) ((-1000 . -231) 120966) ((-911 . -363) T) ((-581 . -1278) 120953) ((-518 . -1278) 120930) ((-359 . -147) 120909) ((-359 . -145) 120860) ((-353 . -147) 120839) ((-353 . -145) 120790) ((-606 . -1185) 120766) ((-345 . -147) 120745) ((-345 . -145) 120696) ((-319 . -35) 120662) ((-475 . -1185) 120641) ((0 . |EnumerationCategory|) T) ((-319 . -95) 120607) ((-379 . -1019) T) ((-108 . -147) T) ((-108 . -145) NIL) ((-45 . -235) 120557) ((-650 . -1094) T) ((-606 . -107) 120504) ((-485 . -131) T) ((-475 . -107) 120454) ((-240 . -1106) 120364) ((-869 . -377) 120348) ((-869 . -338) 120332) ((-240 . -23) 120202) ((-40 . -614) 120132) ((-1057 . -917) T) ((-1057 . -817) T) ((-581 . -368) T) ((-518 . -368) T) ((-351 . -1145) T) ((-327 . -34) T) ((-44 . -417) 120116) ((-1175 . -614) 120052) ((-870 . -1209) T) ((-390 . -741) 120036) ((-1272 . -514) 119969) ((-728 . -131) T) ((-668 . -614) 119953) ((-1251 . -556) 119932) ((-1244 . -1213) 119911) ((-1244 . -556) 119862) ((-1223 . -1213) 119841) ((-311 . -1077) T) ((-1223 . -556) 119792) ((-734 . -514) 119725) ((-1222 . -1209) 119704) ((-1222 . -883) 119577) ((-890 . -1094) T) ((-144 . -841) T) ((-1222 . -881) 119547) ((-687 . -611) 119529) ((-1168 . -131) T) ((-523 . -309) 119467) ((-1167 . -131) T) ((-141 . -514) NIL) ((-1161 . -131) T) 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. -131) T) ((-654 . -644) 116294) ((-245 . -1007) 116278) ((-869 . -307) T) ((-1283 . -1273) 116262) ((-768 . -789) T) ((-768 . -792) T) ((-697 . -38) 116249) ((-564 . -233) T) ((-495 . -243) T) ((-495 . -233) T) ((-1144 . -235) 116199) ((-1081 . -906) 116178) ((-116 . -38) 116165) ((-209 . -797) T) ((-208 . -797) T) ((-207 . -797) T) ((-206 . -797) T) ((-869 . -1019) 116143) ((-1272 . -489) 116127) ((-779 . -906) 116106) ((-777 . -906) 116085) ((-1182 . -1209) T) ((-454 . -906) 116064) ((-734 . -489) 116048) ((-1081 . -644) 115973) ((-695 . -614) 115908) ((-779 . -644) 115833) ((-621 . -1052) 115820) ((-479 . -1209) T) ((-343 . -368) T) ((-141 . -489) 115802) ((-777 . -644) 115727) ((-1135 . -1209) T) ((-549 . -847) T) ((-461 . -644) 115698) ((-264 . -883) 115557) ((-247 . -883) NIL) ((-117 . -1052) 115502) ((-454 . -644) 115427) ((-660 . -1035) 115404) ((-621 . -111) 115389) ((-355 . -1035) 115373) ((-352 . -1035) 115357) ((-344 . -1035) 115341) ((-264 . -1035) 115185) ((-247 . 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T) ((-1099 . -616) 113949) ((-264 . -897) 113895) ((-247 . -897) 113872) ((-117 . -1046) T) ((-813 . -1106) T) ((-1081 . -723) T) ((-621 . -233) 113851) ((-619 . -102) T) ((-779 . -723) T) ((-777 . -723) T) ((-413 . -1106) T) ((-117 . -243) T) ((-40 . -368) NIL) ((-117 . -233) NIL) ((-1214 . -847) T) ((-454 . -723) T) ((-813 . -23) T) ((-728 . -25) T) ((-728 . -21) T) ((-699 . -847) T) ((-1071 . -286) 113830) ((-78 . -396) T) ((-78 . -395) T) ((-533 . -764) 113812) ((-690 . -1052) 113762) ((-1251 . -131) T) ((-1244 . -131) T) ((-1223 . -131) T) ((-1168 . -25) T) ((-1136 . -411) 113746) ((-633 . -367) 113678) ((-605 . -367) 113610) ((-1150 . -1143) 113594) ((-103 . -1094) 113572) ((-1168 . -21) T) ((-1167 . -21) T) ((-862 . -611) 113554) ((-996 . -714) 113502) ((-223 . -644) 113469) ((-690 . -111) 113403) ((-50 . -723) T) ((-1167 . -25) T) ((-351 . -349) T) ((-1161 . -21) T) ((-1074 . -452) 113354) ((-1161 . -25) T) ((-709 . -514) 113301) ((-581 . -723) T) ((-518 . -723) T) ((-1120 . -21) T) ((-1120 . -25) T) ((-595 . -131) T) ((-594 . -131) T) ((-359 . -452) T) ((-353 . -452) T) ((-345 . -452) T) ((-474 . -307) 113280) ((-1217 . -102) T) ((-313 . -286) 113215) ((-108 . -452) T) ((-79 . -441) T) ((-79 . -395) T) ((-477 . -102) T) ((-687 . -614) 113199) ((-1287 . -611) 113181) ((-1287 . -612) 113163) ((-1074 . -402) 113142) ((-1032 . -489) 113073) ((-564 . -792) T) ((-564 . -789) T) ((-1058 . -235) 113019) ((-359 . -402) 112970) ((-353 . -402) 112921) ((-345 . -402) 112872) ((-1274 . -1106) T) ((-690 . -614) 112807) ((-1274 . -23) T) ((-1261 . -102) T) ((-175 . -611) 112789) ((-1136 . -1053) T) ((-547 . -368) T) ((-666 . -741) 112773) ((-1172 . -145) 112752) ((-1172 . -147) 112731) ((-1140 . -1094) T) ((-1140 . -1066) 112700) ((-69 . -1209) T) ((-1021 . -1052) 112637) ((-863 . -1053) T) ((-240 . -637) 112543) ((-690 . -1046) T) ((-354 . -1052) 112488) ((-61 . -1209) T) ((-1021 . -111) 112404) ((-898 . -611) 112315) ((-690 . -243) T) ((-690 . -233) NIL) ((-840 . -845) 112294) ((-695 . -792) T) ((-695 . -789) T) ((-1000 . -411) 112271) ((-354 . -111) 112200) ((-379 . -917) T) ((-407 . -845) 112179) ((-709 . -290) 112090) ((-223 . -723) T) ((-1251 . -493) 112056) ((-1244 . -493) 112022) ((-1223 . -493) 111988) ((-578 . -1094) T) ((-316 . -999) 111967) ((-222 . -1094) 111945) ((-1216 . -841) T) ((-319 . -970) 111907) ((-105 . -102) T) ((-48 . -1052) 111872) ((-1283 . -102) T) ((-381 . -102) T) ((-48 . -111) 111828) ((-1001 . -637) 111810) ((-1245 . -611) 111792) ((-531 . -102) T) ((-500 . -102) T) ((-1127 . -1128) 111776) ((-152 . -1266) 111760) ((-245 . -1209) T) ((-1208 . -102) T) ((-1021 . -614) 111697) ((-1166 . -1213) 111676) ((-354 . -614) 111606) ((-1119 . -1213) 111585) ((-240 . -21) 111495) ((-240 . -25) 111346) ((-127 . -119) 111330) ((-121 . -119) 111314) ((-44 . -741) 111298) ((-1166 . -556) 111209) ((-1119 . -556) 111140) ((-1216 . -1094) T) ((-1032 . -286) 111115) ((-1160 . -1077) T) ((-991 . -1077) T) ((-813 . -131) T) ((-117 . -792) NIL) ((-117 . -789) NIL) ((-355 . -307) T) ((-352 . -307) T) ((-344 . -307) T) ((-251 . -1106) 111025) ((-250 . -1106) 110935) ((-1021 . -1046) T) ((-1000 . -1053) T) ((-48 . -614) 110868) ((-343 . -644) 110813) ((-619 . -38) 110797) ((-1272 . -611) 110759) ((-1272 . -612) 110720) ((-1071 . -611) 110702) ((-1021 . -243) T) ((-354 . -1046) T) ((-812 . -1266) 110672) ((-251 . -23) T) ((-250 . -23) T) ((-984 . -611) 110654) ((-734 . -612) 110615) ((-734 . -611) 110597) ((-796 . -847) 110576) ((-1153 . -151) 110523) ((-996 . -514) 110435) ((-354 . -233) T) ((-354 . -243) T) ((-388 . -614) 110416) ((-1001 . -25) T) ((-141 . -611) 110398) ((-141 . -612) 110357) ((-907 . -307) T) ((-1001 . -21) T) ((-968 . -25) T) ((-911 . -21) T) ((-911 . -25) T) ((-427 . -21) T) ((-427 . -25) T) ((-840 . -411) 110341) ((-48 . -1046) T) ((-1281 . -1273) 110325) ((-1279 . -1273) 110309) ((-1032 . -602) 110284) ((-316 . -612) 110145) ((-316 . -611) 110127) ((-313 . -612) NIL) ((-313 . -611) 110109) ((-48 . -243) T) ((-48 . -233) T) ((-650 . -286) 110070) ((-550 . -235) 110020) ((-139 . -611) 109987) ((-136 . -611) 109969) ((-114 . -611) 109951) ((-477 . -38) 109916) ((-1283 . -1280) 109895) ((-1274 . -131) T) ((-1282 . -1053) T) ((-1076 . -102) T) ((-88 . -1209) T) ((-500 . -309) NIL) ((-997 . -107) 109879) ((-886 . -1094) T) ((-882 . -1094) T) ((-1259 . -647) 109863) ((-1259 . -373) 109847) ((-327 . -1209) T) ((-592 . -847) T) ((-1136 . -1094) T) ((-1136 . -1049) 109787) ((-103 . -514) 109720) ((-924 . -611) 109702) ((-343 . -723) T) ((-30 . -611) 109684) ((-863 . -1094) T) ((-840 . -1053) 109663) ((-40 . -644) 109608) ((-225 . -1213) T) ((-407 . -1053) T) ((-1152 . -151) 109590) ((-996 . -290) 109541) ((-615 . -1094) T) ((-225 . -556) T) ((-319 . -1240) 109525) ((-319 . -1237) 109495) ((-1182 . -1185) 109474) ((-1069 . -611) 109456) ((-643 . -151) 109440) ((-630 . -151) 109386) ((-1182 . -107) 109336) ((-479 . -1185) 109315) ((-487 . -147) T) ((-487 . -145) NIL) ((-1114 . -612) 109230) ((-438 . -611) 109212) ((-217 . -147) T) ((-217 . -145) NIL) ((-1114 . -611) 109194) ((-129 . -102) T) ((-52 . -102) T) ((-1223 . -637) 109146) ((-479 . -107) 109096) ((-990 . -23) T) ((-1283 . -38) 109066) ((-1166 . -1106) T) ((-1119 . -1106) T) ((-1057 . -1213) T) ((-311 . -102) T) ((-851 . -1106) T) ((-949 . -1213) 109045) ((-481 . -1213) 109024) ((-728 . -847) 109003) ((-1057 . -556) T) ((-949 . -556) 108934) ((-1166 . -23) T) ((-1119 . -23) T) ((-851 . -23) T) ((-481 . -556) 108865) ((-1136 . -714) 108797) ((-1140 . -514) 108730) ((-1032 . -612) NIL) ((-1032 . -611) 108712) ((-96 . -1077) T) ((-863 . -714) 108682) ((-1203 . -47) 108651) ((-251 . -131) T) ((-250 . -131) T) ((-1098 . -1094) T) ((-1000 . -1094) T) ((-62 . -611) 108633) ((-1161 . -847) NIL) ((-1021 . -789) T) ((-1021 . -792) T) ((-1287 . -1052) 108620) ((-1287 . -111) 108605) ((-867 . -644) 108592) ((-1251 . -25) T) ((-1251 . -21) T) ((-1244 . -21) T) ((-1244 . -25) T) ((-1223 . -21) T) ((-1223 . -25) T) 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107889) ((-294 . -1053) 107831) ((-169 . -1213) 107736) ((-225 . -1106) T) ((-324 . -23) T) ((-1161 . -989) 107688) ((-840 . -1094) T) ((-1245 . -1052) 107593) ((-1120 . -737) 107572) ((-1243 . -917) 107551) ((-1222 . -917) 107530) ((-867 . -723) T) ((-169 . -556) 107441) ((-580 . -644) 107428) ((-564 . -644) 107415) ((-407 . -1094) T) ((-263 . -1094) T) ((-213 . -611) 107397) ((-495 . -644) 107362) ((-225 . -23) T) ((-1222 . -817) 107315) ((-1281 . -102) T) ((-354 . -1278) 107292) ((-1279 . -102) T) ((-1245 . -111) 107184) ((-144 . -611) 107166) ((-990 . -131) T) ((-44 . -102) T) ((-240 . -847) 107117) ((-1232 . -1213) 107096) ((-103 . -489) 107080) ((-1282 . -714) 107050) ((-1081 . -47) 107011) ((-1057 . -1106) T) ((-949 . -1106) T) ((-127 . -34) T) ((-121 . -34) T) ((-779 . -47) 106988) ((-777 . -47) 106960) ((-1232 . -556) 106871) ((-354 . -368) T) ((-481 . -1106) T) ((-1166 . -131) T) ((-1119 . -131) T) ((-454 . -47) 106850) ((-868 . -363) T) ((-851 . -131) T) ((-152 . -102) T) 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-883) NIL) ((-868 . -1106) T) ((-117 . -906) NIL) ((-1281 . -1280) 105446) ((-1279 . -1280) 105425) ((-779 . -883) NIL) ((-777 . -883) 105284) ((-1274 . -25) T) ((-1274 . -21) T) ((-1206 . -102) 105262) ((-1100 . -395) T) ((-621 . -644) 105249) ((-454 . -883) NIL) ((-671 . -102) 105227) ((-1081 . -1035) 105054) ((-868 . -23) T) ((-779 . -1035) 104913) ((-777 . -1035) 104770) ((-117 . -644) 104715) ((-454 . -1035) 104591) ((-316 . -614) 104155) ((-313 . -614) 104038) ((-645 . -1035) 104022) ((-625 . -102) T) ((-222 . -489) 104006) ((-1259 . -34) T) ((-136 . -614) 103990) ((-633 . -714) 103974) ((-605 . -714) 103958) ((-666 . -38) 103918) ((-319 . -102) T) ((-85 . -611) 103900) ((-50 . -1035) 103884) ((-1114 . -1052) 103871) ((-1081 . -377) 103855) ((-779 . -377) 103839) ((-695 . -723) T) ((-695 . -791) T) ((-695 . -788) T) ((-581 . -1035) 103826) ((-518 . -1035) 103803) ((-60 . -57) 103765) ((-324 . -131) T) ((-316 . -1046) 103655) ((-313 . -1046) T) ((-169 . -1106) T) ((-777 . -377) 103639) ((-45 . -151) 103589) ((-1001 . -989) 103571) ((-454 . -377) 103555) ((-407 . -172) T) ((-316 . -243) 103534) ((-313 . -243) T) ((-313 . -233) NIL) ((-294 . -1094) 103316) ((-225 . -131) T) ((-1114 . -111) 103301) ((-169 . -23) T) ((-796 . -147) 103280) ((-796 . -145) 103259) ((-251 . -637) 103165) ((-250 . -637) 103071) ((-319 . -284) 103037) ((-1150 . -514) 102970) ((-1127 . -1094) T) ((-225 . -1055) T) ((-812 . -309) 102908) ((-1081 . -897) 102843) ((-779 . -897) 102786) ((-777 . -897) 102770) ((-1281 . -38) 102740) ((-1279 . -38) 102710) ((-1232 . -1106) T) ((-852 . -1106) T) ((-454 . -897) 102687) ((-855 . -1094) T) ((-1232 . -23) T) ((-1114 . -614) 102659) ((-571 . -1106) T) ((-852 . -23) T) ((-621 . -723) T) ((-355 . -917) T) ((-352 . -917) T) ((-289 . -102) T) ((-344 . -917) T) ((-1057 . -131) T) ((-967 . -1077) T) ((-949 . -131) T) ((-117 . -791) NIL) ((-117 . -788) NIL) ((-117 . -723) T) ((-690 . -906) NIL) ((-1043 . -514) 102560) ((-481 . -131) T) ((-571 . -23) T) 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101753) ((-1021 . -644) 101690) ((-523 . -1094) 101668) ((-359 . -102) T) ((-353 . -102) T) ((-345 . -102) T) ((-108 . -102) T) ((-504 . -1094) T) ((-354 . -644) 101613) ((-1166 . -637) 101561) ((-1119 . -637) 101509) ((-385 . -509) 101488) ((-830 . -845) 101467) ((-379 . -1213) T) ((-690 . -723) T) ((-339 . -1053) T) ((-1223 . -989) 101419) ((-174 . -1053) T) ((-103 . -611) 101351) ((-1168 . -145) 101330) ((-1168 . -147) 101309) ((-379 . -556) T) ((-1167 . -147) 101288) ((-1167 . -145) 101267) ((-1161 . -145) 101174) ((-407 . -290) T) ((-1161 . -147) 101081) ((-1120 . -147) 101060) ((-1120 . -145) 101039) ((-319 . -38) 100880) ((-169 . -131) T) ((-313 . -792) NIL) ((-313 . -789) NIL) ((-650 . -1046) T) ((-48 . -644) 100845) ((-890 . -614) 100822) ((-1160 . -102) T) ((-991 . -102) T) ((-990 . -21) T) ((-127 . -1007) 100806) ((-121 . -1007) 100790) ((-990 . -25) T) ((-898 . -119) 100774) ((-1152 . -102) T) ((-813 . -847) 100753) ((-1232 . -131) T) ((-1166 . -25) T) ((-1166 . -21) T) 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91265) ((-863 . -111) 91230) ((-690 . -1035) 91175) ((-1001 . -452) T) ((-907 . -556) T) ((-533 . -611) 91157) ((-581 . -917) T) ((-474 . -1106) T) ((-518 . -917) T) ((-1150 . -288) 91134) ((-911 . -452) T) ((-65 . -611) 91116) ((-630 . -229) 91062) ((-474 . -23) T) ((-1114 . -791) T) ((-869 . -131) T) ((-1114 . -788) T) ((-1274 . -1276) 91041) ((-1114 . -723) T) ((-650 . -644) 91015) ((-294 . -611) 90756) ((-1136 . -614) 90674) ((-1032 . -34) T) ((-812 . -845) 90653) ((-580 . -307) T) ((-564 . -307) T) ((-495 . -307) T) ((-1283 . -714) 90623) ((-690 . -377) 90605) ((-690 . -338) 90587) ((-477 . -172) T) ((-381 . -714) 90557) ((-863 . -614) 90492) ((-868 . -847) NIL) ((-564 . -1019) T) ((-495 . -1019) T) ((-1127 . -611) 90474) ((-1107 . -238) 90453) ((-214 . -102) T) ((-1144 . -102) T) ((-71 . -611) 90435) ((-1136 . -1046) T) ((-1172 . -38) 90332) ((-855 . -611) 90314) ((-564 . -545) T) ((-666 . -1053) T) ((-728 . -946) 90267) ((-1136 . -233) 90246) ((-1076 . -1094) T) ((-1031 . -25) 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T) ((-650 . -723) T) ((-1098 . -616) 89421) ((-1000 . -614) 89351) ((-1282 . -1052) 89335) ((-1232 . -847) 89314) ((-812 . -411) 89283) ((-103 . -119) 89267) ((-129 . -1094) T) ((-52 . -1094) T) ((-923 . -611) 89249) ((-868 . -989) 89226) ((-820 . -102) T) ((-1282 . -111) 89205) ((-649 . -38) 89175) ((-571 . -847) T) ((-355 . -1106) T) ((-352 . -1106) T) ((-344 . -1106) T) ((-264 . -1106) T) ((-247 . -1106) T) ((-621 . -307) 89154) ((-1144 . -309) 88958) ((-524 . -1077) T) ((-311 . -1094) T) ((-660 . -23) T) ((-482 . -231) 88927) ((-152 . -1053) T) ((-355 . -23) T) ((-352 . -23) T) ((-344 . -23) T) ((-117 . -307) T) ((-264 . -23) T) ((-247 . -23) T) ((-1000 . -1046) T) ((-709 . -906) 88906) ((-1150 . -614) 88883) ((-1000 . -233) 88855) ((-1000 . -243) T) ((-117 . -1019) NIL) ((-907 . -1106) T) ((-1244 . -452) 88834) ((-1223 . -452) 88813) ((-523 . -611) 88745) ((-709 . -644) 88670) ((-407 . -1052) 88622) ((-504 . -611) 88604) ((-907 . -23) T) ((-487 . -309) NIL) ((-1282 . -614) 88560) 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-1219) 87614) ((-407 . -1046) T) ((-319 . -1053) T) ((-690 . -307) T) ((-108 . -845) T) ((-709 . -723) T) ((-407 . -243) T) ((-407 . -233) 87593) ((-487 . -38) 87543) ((-217 . -38) 87493) ((-474 . -493) 87459) ((-1216 . -368) T) ((-1152 . -1138) T) ((-1095 . -102) T) ((-697 . -611) 87441) ((-697 . -612) 87356) ((-711 . -21) T) ((-711 . -25) T) ((-1129 . -102) T) ((-134 . -611) 87338) ((-116 . -611) 87320) ((-157 . -25) T) ((-1281 . -1094) T) ((-869 . -637) 87268) ((-1279 . -1094) T) ((-960 . -102) T) ((-732 . -102) T) ((-712 . -102) T) ((-453 . -102) T) ((-813 . -452) 87219) ((-44 . -1094) T) ((-1082 . -847) T) ((-660 . -131) T) ((-1058 . -309) 87070) ((-666 . -714) 87054) ((-289 . -1053) T) ((-355 . -131) T) ((-352 . -131) T) ((-344 . -131) T) ((-264 . -131) T) ((-247 . -131) T) ((-418 . -102) T) ((-152 . -1094) T) ((-45 . -229) 87004) ((-955 . -847) 86983) ((-996 . -644) 86921) ((-240 . -1266) 86891) ((-1021 . -307) T) ((-294 . -1052) 86812) ((-907 . -131) T) ((-40 . -917) T) ((-487 . -400) 86794) ((-354 . -307) T) ((-217 . -400) 86776) ((-1074 . -411) 86760) ((-294 . -111) 86676) ((-1177 . -847) T) ((-1176 . -847) T) ((-869 . -25) T) ((-869 . -21) T) ((-339 . -611) 86658) ((-1245 . -47) 86602) ((-225 . -147) T) ((-174 . -611) 86584) ((-1107 . -845) 86563) ((-771 . -611) 86545) ((-128 . -847) T) ((-606 . -235) 86492) ((-475 . -235) 86442) ((-1281 . -714) 86412) ((-48 . -307) T) ((-1279 . -714) 86382) ((-65 . -614) 86311) ((-961 . -1094) T) ((-812 . -1094) 86101) ((-312 . -102) T) ((-898 . -1209) T) ((-48 . -1019) T) ((-1222 . -637) 86009) ((-685 . -102) 85987) ((-44 . -714) 85971) ((-550 . -102) T) ((-294 . -614) 85902) ((-67 . -383) T) ((-67 . -395) T) ((-658 . -23) T) ((-666 . -758) T) ((-1206 . -1094) 85880) ((-351 . -1052) 85825) ((-671 . -1094) 85803) ((-1057 . -147) T) ((-949 . -147) 85782) ((-949 . -145) 85761) ((-796 . -102) T) ((-152 . -714) 85745) ((-481 . -147) 85724) ((-481 . -145) 85703) ((-351 . -111) 85632) ((-1074 . -1053) T) ((-322 . -847) 85611) 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NIL) ((-1208 . -93) T) ((-351 . -1046) T) ((-70 . -383) T) ((-70 . -395) T) ((-1159 . -102) T) ((-666 . -514) 84933) ((-685 . -309) 84871) ((-960 . -38) 84768) ((-732 . -38) 84738) ((-550 . -309) 84542) ((-316 . -1209) T) ((-351 . -233) T) ((-351 . -243) T) ((-313 . -1209) T) ((-289 . -1094) T) ((-1174 . -611) 84524) ((-708 . -1213) T) ((-1150 . -647) 84508) ((-1203 . -556) 84487) ((-708 . -556) T) ((-316 . -881) 84471) ((-316 . -883) 84396) ((-313 . -881) 84357) ((-313 . -883) NIL) ((-796 . -309) 84322) ((-319 . -714) 84163) ((-324 . -323) 84140) ((-485 . -102) T) ((-474 . -25) T) ((-474 . -21) T) ((-418 . -38) 84114) ((-316 . -1035) 83777) ((-225 . -1194) T) ((-225 . -1197) T) ((-3 . -611) 83759) ((-313 . -1035) 83689) ((-2 . -1094) T) ((-2 . |RecordCategory|) T) ((-830 . -611) 83671) ((-1107 . -1053) 83601) ((-580 . -917) T) ((-564 . -817) T) ((-564 . -917) T) ((-495 . -917) T) ((-136 . -1035) 83585) ((-225 . -95) T) ((-75 . -441) T) ((-75 . -395) T) ((0 . -611) 83567) ((-169 . 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-284) 82724) ((-1167 . -284) 82690) ((-1161 . -284) 82656) ((-1074 . -1094) T) ((-1056 . -1094) T) ((-48 . -302) T) ((-316 . -897) 82622) ((-313 . -897) NIL) ((-1056 . -1063) 82601) ((-1114 . -883) 82583) ((-796 . -38) 82567) ((-264 . -637) 82515) ((-247 . -637) 82463) ((-697 . -1052) 82450) ((-594 . -1237) 82427) ((-1120 . -284) 82393) ((-319 . -172) 82324) ((-359 . -1094) T) ((-353 . -1094) T) ((-345 . -1094) T) ((-500 . -19) 82306) ((-1114 . -1035) 82288) ((-1096 . -151) 82272) ((-108 . -1094) T) ((-116 . -1052) 82259) ((-708 . -363) T) ((-500 . -602) 82234) ((-697 . -111) 82219) ((-436 . -102) T) ((-45 . -1143) 82169) ((-116 . -111) 82154) ((-633 . -717) T) ((-605 . -717) T) ((-812 . -514) 82087) ((-1032 . -1209) T) ((-940 . -151) 82071) ((-1217 . -611) 82053) ((-1166 . -452) 81984) ((-1160 . -1094) T) ((-1152 . -1094) T) ((-525 . -102) T) ((-520 . -102) 81934) ((-1136 . -644) 81908) ((-1119 . -452) 81859) ((-1081 . -1213) 81838) ((-779 . -1213) 81817) ((-777 . -1213) 81796) ((-62 . -1209) T) ((-477 . -611) 81748) ((-477 . -612) 81670) ((-1081 . -556) 81601) ((-991 . -1094) T) ((-779 . -556) 81512) ((-777 . -556) 81443) ((-482 . -411) 81412) ((-621 . -917) 81391) ((-454 . -1213) 81370) ((-728 . -309) 81357) ((-697 . -614) 81329) ((-398 . -611) 81311) ((-671 . -514) 81244) ((-660 . -25) T) ((-660 . -21) T) ((-454 . -556) 81175) ((-355 . -25) T) ((-355 . -21) T) ((-117 . -917) T) ((-117 . -817) NIL) ((-352 . -25) T) ((-352 . -21) T) ((-344 . -25) T) ((-344 . -21) T) ((-264 . -25) T) ((-264 . -21) T) ((-247 . -25) T) ((-247 . -21) T) ((-83 . -384) T) ((-83 . -395) T) ((-134 . -614) 81157) ((-116 . -614) 81129) ((-1261 . -611) 81111) ((-1215 . -847) T) ((-1203 . -1106) T) ((-1203 . -23) T) ((-1161 . -309) 80996) ((-1120 . -309) 80983) ((-1074 . -714) 80851) ((-863 . -644) 80811) ((-940 . -977) 80795) ((-907 . -21) T) ((-289 . -172) T) ((-907 . -25) T) ((-311 . -93) T) ((-869 . -847) 80746) ((-708 . -1106) T) ((-708 . -23) T) ((-697 . -1046) T) ((-643 . -1094) 80724) 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79613) ((-73 . -1209) T) ((-105 . -611) 79595) ((-1283 . -611) 79577) ((-381 . -611) 79559) ((-339 . -614) 79511) ((-174 . -614) 79428) ((-1208 . -490) 79409) ((-728 . -38) 79258) ((-571 . -1197) T) ((-571 . -1194) T) ((-531 . -611) 79240) ((-520 . -309) 79178) ((-500 . -611) 79160) ((-500 . -612) 79142) ((-1208 . -611) 79108) ((-1161 . -1145) NIL) ((-1024 . -1066) 79077) ((-1024 . -1094) T) ((-1001 . -102) T) ((-968 . -102) T) ((-911 . -102) T) ((-890 . -1035) 79054) ((-1136 . -723) T) ((-1000 . -644) 78999) ((-476 . -1094) T) ((-463 . -1094) T) ((-585 . -23) T) ((-571 . -35) T) ((-571 . -95) T) ((-427 . -102) T) ((-1058 . -229) 78945) ((-1168 . -38) 78842) ((-863 . -723) T) ((-690 . -917) T) ((-511 . -25) T) ((-507 . -21) T) ((-507 . -25) T) ((-1167 . -38) 78683) ((-339 . -1046) T) ((-1161 . -38) 78479) ((-1074 . -172) T) ((-174 . -1046) T) ((-1120 . -38) 78376) ((-709 . -47) 78353) ((-359 . -172) T) ((-353 . -172) T) ((-519 . -57) 78327) ((-497 . -57) 78277) ((-351 . -1278) 78254) 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. -611) 77358) ((-1076 . -612) 77339) ((-407 . -906) 77318) ((-50 . -1106) T) ((-1021 . -917) T) ((-1000 . -723) T) ((-709 . -883) NIL) ((-581 . -1106) T) ((-518 . -1106) T) ((-840 . -644) 77291) ((-1203 . -131) T) ((-1161 . -400) 77243) ((-1001 . -309) NIL) ((-812 . -489) 77227) ((-354 . -917) T) ((-1150 . -34) T) ((-407 . -644) 77179) ((-50 . -23) T) ((-708 . -131) T) ((-709 . -1035) 77059) ((-581 . -23) T) ((-108 . -514) NIL) ((-518 . -23) T) ((-169 . -409) 77030) ((-1134 . -1094) T) ((-1274 . -1273) 77014) ((-697 . -792) T) ((-697 . -789) T) ((-1114 . -307) T) ((-379 . -147) T) ((-280 . -611) 76996) ((-1222 . -989) 76966) ((-48 . -917) T) ((-671 . -489) 76950) ((-251 . -1266) 76920) ((-250 . -1266) 76890) ((-1170 . -847) T) ((-1107 . -172) 76869) ((-1114 . -1019) T) ((-1043 . -34) T) ((-833 . -147) 76848) ((-833 . -145) 76827) ((-734 . -107) 76811) ((-610 . -132) T) ((-482 . -1094) 76601) ((-1172 . -1053) T) ((-868 . -452) T) ((-85 . -1209) T) ((-240 . -38) 76571) ((-141 . -107) 76553) ((-709 . -377) 76537) ((-830 . -614) 76405) ((-1114 . -545) T) ((-579 . -102) T) ((-129 . -490) 76387) ((-390 . -1052) 76371) ((-1282 . -723) T) ((-1166 . -946) 76340) ((-129 . -611) 76307) ((-52 . -611) 76289) ((-1119 . -946) 76256) ((-649 . -411) 76240) ((-1271 . -1053) T) ((-619 . -1052) 76224) ((-658 . -25) T) ((-658 . -21) T) ((-1152 . -514) NIL) ((-1251 . -102) T) ((-1244 . -102) T) ((-390 . -111) 76203) ((-222 . -254) 76187) ((-1223 . -102) T) ((-1050 . -1094) T) ((-1001 . -1145) T) ((-1050 . -1049) 76127) ((-815 . -1094) T) ((-343 . -1213) T) ((-633 . -644) 76111) ((-619 . -111) 76090) ((-605 . -644) 76074) ((-595 . -102) T) ((-311 . -490) 76055) ((-585 . -131) T) ((-594 . -102) T) ((-414 . -1094) T) ((-385 . -1094) T) ((-311 . -611) 76021) ((-227 . -1094) 75999) ((-643 . -514) 75932) ((-630 . -514) 75776) ((-830 . -1046) 75755) ((-641 . -151) 75739) ((-343 . -556) T) ((-709 . -897) 75682) ((-550 . -229) 75632) ((-1251 . -284) 75598) ((-1074 . -290) 75549) ((-487 . -845) T) ((-223 . -1106) T) ((-1244 . -284) 75515) ((-1223 . -284) 75481) ((-1001 . -38) 75431) ((-217 . -845) T) ((-1203 . -493) 75397) ((-911 . -38) 75349) ((-840 . -791) 75328) ((-840 . -788) 75307) ((-840 . -723) 75286) ((-359 . -290) T) ((-353 . -290) T) ((-345 . -290) T) ((-169 . -452) 75217) ((-427 . -38) 75201) ((-108 . -290) T) ((-223 . -23) T) ((-407 . -791) 75180) ((-407 . -788) 75159) ((-407 . -723) T) ((-500 . -288) 75134) ((-477 . -1052) 75099) ((-654 . -131) T) ((-619 . -614) 75068) ((-1107 . -514) 75001) ((-336 . -131) T) ((-169 . -402) 74980) ((-482 . -714) 74922) ((-812 . -286) 74899) ((-477 . -111) 74855) ((-649 . -1053) T) ((-1232 . -452) 74786) ((-1270 . -1077) T) ((-1269 . -1077) T) ((-1081 . -131) T) ((-1050 . -714) 74728) ((-264 . -847) 74707) ((-247 . -847) 74686) ((-779 . -131) T) ((-777 . -131) T) ((-571 . -452) T) ((-1024 . -514) 74619) ((-619 . -1046) T) ((-591 . -1094) T) ((-533 . -173) T) ((-461 . -131) T) ((-454 . -131) T) ((-45 . -1094) T) ((-385 . -714) 74589) ((-814 . -1094) T) ((-476 . -514) 74522) ((-463 . -514) 74455) ((-453 . -367) 74425) ((-45 . -608) 74404) ((-316 . -302) T) ((-477 . -614) 74354) ((-666 . -611) 74316) ((-59 . -847) 74295) ((-1223 . -309) 74180) ((-548 . -611) 74162) ((-1001 . -400) 74144) ((-812 . -602) 74121) ((-516 . -847) 74100) ((-496 . -847) 74079) ((-40 . -1213) T) ((-996 . -1035) 73975) ((-50 . -131) T) ((-581 . -131) T) ((-518 . -131) T) ((-294 . -644) 73835) ((-343 . -329) 73812) ((-343 . -363) T) ((-322 . -323) 73789) ((-319 . -286) 73774) ((-40 . -556) T) ((-379 . -1194) T) ((-379 . -1197) T) ((-1032 . -1185) 73749) ((-1182 . -235) 73699) ((-1161 . -231) 73651) ((-330 . -1094) T) ((-379 . -95) T) ((-379 . -35) T) ((-1032 . -107) 73597) ((-477 . -1046) T) ((-479 . -235) 73547) ((-1153 . -489) 73481) ((-1283 . -1052) 73465) ((-381 . -1052) 73449) ((-477 . -243) T) ((-813 . -102) T) ((-711 . -147) 73428) ((-711 . -145) 73407) ((-484 . -489) 73391) ((-485 . -335) 73360) ((-1283 . -111) 73339) ((-512 . 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((-1269 . -611) 11701) ((-571 . -999) T) ((-728 . -723) T) ((-1282 . -25) T) ((-251 . -1046) 11631) ((-250 . -1046) 11561) ((-72 . -1209) T) ((-251 . -233) 11513) ((-250 . -233) 11465) ((-40 . -102) T) ((-907 . -1053) T) ((-128 . -489) 11447) ((-1175 . -102) T) ((-1168 . -723) T) ((-1167 . -723) T) ((-1161 . -723) T) ((-1161 . -788) NIL) ((-1161 . -791) NIL) ((-951 . -102) T) ((-918 . -102) T) ((-1120 . -723) T) ((-768 . -102) T) ((-668 . -102) T) ((-546 . -611) 11429) ((-474 . -1094) T) ((-339 . -1106) T) ((-174 . -1106) T) ((-319 . -917) 11408) ((-1243 . -714) 11249) ((-869 . -172) T) ((-1222 . -714) 11063) ((-840 . -21) 11015) ((-840 . -25) 10967) ((-245 . -1143) 10951) ((-126 . -514) 10884) ((-407 . -25) T) ((-407 . -21) T) ((-339 . -23) T) ((-169 . -612) 10650) ((-169 . -611) 10632) ((-174 . -23) T) ((-641 . -288) 10609) ((-520 . -34) T) ((-895 . -611) 10591) ((-89 . -1209) T) ((-838 . -611) 10573) ((-805 . -611) 10555) ((-766 . -611) 10537) ((-673 . -611) 10519) ((-240 . -644) 10367) ((-1170 . -1094) T) ((-1166 . -1052) 10190) ((-1144 . -1209) T) ((-1119 . -1052) 10033) ((-851 . -1052) 10017) ((-1226 . -616) 10001) ((-1166 . -111) 9810) ((-1119 . -111) 9639) ((-851 . -111) 9618) ((-1216 . -847) T) ((-1232 . -612) NIL) ((-1232 . -611) 9600) ((-343 . -1145) T) ((-852 . -611) 9582) ((-1070 . -286) 9561) ((-80 . -1209) T) ((-1001 . -906) NIL) ((-606 . -286) 9537) ((-1195 . -514) 9470) ((-487 . -1209) T) ((-571 . -611) 9452) ((-475 . -286) 9431) ((-517 . -93) T) ((-217 . -1209) T) ((-1081 . -231) 9415) ((-1001 . -644) 9365) ((-289 . -917) T) ((-814 . -307) 9344) ((-867 . -102) T) ((-779 . -231) 9328) ((-955 . -286) 9305) ((-911 . -644) 9257) ((-633 . -21) T) ((-633 . -25) T) ((-605 . -21) T) ((-547 . -102) T) ((-343 . -38) 9222) ((-690 . -721) 9189) ((-487 . -881) 9171) ((-487 . -883) 9153) ((-474 . -714) 8994) ((-217 . -881) 8976) ((-64 . -1209) T) ((-217 . -883) 8958) ((-605 . -25) T) ((-427 . -644) 8932) ((-1166 . -614) 8701) ((-487 . -1035) 8661) ((-869 . -514) 8573) ((-1119 . -614) 8365) ((-851 . -614) 8283) ((-217 . -1035) 8243) ((-240 . -34) T) ((-997 . -1094) 8221) ((-1243 . -172) 8152) ((-1222 . -172) 8083) ((-709 . -145) 8062) ((-709 . -147) 8041) ((-697 . -131) T) ((-136 . -465) 8018) ((-1141 . -611) 7950) ((-654 . -652) 7934) ((-128 . -286) 7909) ((-116 . -131) T) ((-477 . -1213) T) ((-606 . -602) 7885) ((-475 . -602) 7864) ((-336 . -335) 7833) ((-536 . -1094) T) ((-477 . -556) T) ((-1166 . -1046) T) ((-1119 . -1046) T) ((-851 . -1046) T) ((-240 . -788) 7812) ((-240 . -791) 7763) ((-240 . -790) 7742) ((-1166 . -326) 7719) ((-240 . -723) 7629) ((-955 . -19) 7613) ((-487 . -377) 7595) ((-487 . -338) 7577) ((-1119 . -326) 7549) ((-354 . -1266) 7526) ((-217 . -377) 7508) ((-217 . -338) 7490) ((-955 . -602) 7467) ((-1166 . -233) T) ((-660 . -1094) T) ((-642 . -1094) T) ((-1255 . -1094) T) ((-1182 . -1094) T) ((-1081 . -253) 7404) ((-355 . -1094) T) ((-352 . -1094) T) ((-344 . -1094) T) ((-264 . -1094) T) ((-247 . -1094) T) ((-84 . -1209) T) ((-127 . -102) 7382) ((-121 . -102) 7360) ((-1182 . -608) 7339) ((-479 . -1094) T) ((-1135 . -1094) T) ((-479 . -608) 7318) ((-251 . -792) 7269) ((-251 . -789) 7220) ((-250 . -792) 7171) ((-40 . -1145) NIL) ((-250 . -789) 7122) ((-1109 . -614) 7103) ((-128 . -19) 7085) ((-1074 . -917) 7036) ((-1001 . -791) T) ((-1001 . -788) T) ((-1001 . -723) T) ((-968 . -791) T) ((-128 . -602) 7011) ((-911 . -723) T) ((-91 . -489) 6995) ((-487 . -897) NIL) ((-907 . -1094) T) ((-225 . -1052) 6960) ((-869 . -290) T) ((-217 . -897) NIL) ((-830 . -1106) 6939) ((-59 . -1094) 6889) ((-519 . -1094) 6867) ((-516 . -1094) 6817) ((-497 . -1094) 6795) ((-496 . -1094) 6745) ((-580 . -102) T) ((-564 . -102) T) ((-495 . -102) T) ((-474 . -172) 6676) ((-359 . -917) T) ((-353 . -917) T) ((-345 . -917) T) ((-225 . -111) 6632) ((-830 . -23) 6584) ((-427 . -723) T) ((-108 . -917) T) ((-40 . -38) 6529) ((-108 . -817) T) ((-581 . -349) T) ((-518 . -349) T) ((-1222 . -514) 6389) ((-316 . -452) 6368) ((-313 . -452) T) ((-889 . -611) 6350) ((-833 . -286) 6329) ((-339 . -131) T) ((-174 . -131) T) ((-294 . -25) 6193) ((-294 . -21) 6076) ((-45 . -1185) 6055) ((-66 . -611) 6037) ((-55 . -102) T) ((-600 . -514) 5970) ((-45 . -107) 5920) ((-816 . -614) 5904) ((-1096 . -425) 5888) ((-1096 . -368) 5867) ((-386 . -614) 5851) ((-324 . -614) 5835) ((-1058 . -1209) T) ((-1057 . -1052) 5822) ((-949 . -1052) 5665) ((-1260 . -102) T) ((-1259 . -102) 5615) ((-1057 . -111) 5600) ((-481 . -1052) 5443) ((-660 . -714) 5427) ((-949 . -111) 5256) ((-225 . -614) 5206) ((-477 . -363) T) ((-355 . -714) 5158) ((-352 . -714) 5110) ((-344 . -714) 5062) ((-264 . -714) 4911) ((-247 . -714) 4760) ((-1251 . -644) 4685) ((-1223 . -906) NIL) ((-1090 . -93) T) ((-1084 . -93) T) ((-940 . -647) 4669) ((-1068 . -93) T) ((-481 . -111) 4498) ((-1061 . -93) T) ((-1033 . -93) T) ((-940 . -373) 4482) ((-248 . -102) T) ((-1016 . -93) T) ((-74 . -611) 4464) ((-960 . -47) 4443) ((-707 . -102) T) ((-695 . -102) T) ((-1 . -1094) T) ((-619 . -1106) T) ((-1244 . -644) 4340) ((-624 . -93) T) ((-1190 . -611) 4322) ((-1082 . -611) 4304) ((-126 . -489) 4288) ((-483 . -93) T) ((-1070 . -611) 4270) ((-390 . -23) T) ((-87 . -1209) T) ((-218 . -93) T) ((-1223 . -644) 4122) ((-907 . -714) 4087) ((-619 . -23) T) ((-606 . -611) 4069) ((-606 . -612) NIL) ((-475 . -612) NIL) ((-475 . -611) 4051) ((-511 . -1094) T) ((-507 . -1094) T) ((-351 . -25) T) ((-351 . -21) T) ((-127 . -309) 3989) ((-121 . -309) 3927) ((-595 . -644) 3914) ((-225 . -1046) T) ((-594 . -644) 3839) ((-379 . -999) T) ((-225 . -243) T) ((-225 . -233) T) ((-1057 . -614) 3811) ((-1057 . -616) 3792) ((-955 . -612) 3753) ((-955 . -611) 3665) ((-949 . -614) 3454) ((-867 . -38) 3441) ((-710 . -614) 3391) ((-1243 . -290) 3342) ((-1222 . -290) 3293) ((-481 . -614) 3078) ((-1114 . -452) T) ((-502 . -847) T) ((-316 . -1133) 3057) ((-996 . -147) 3036) ((-996 . -145) 3015) ((-495 . -309) 3002) ((-295 . -1185) 2981) ((-1177 . -611) 2963) ((-1176 . -611) 2945) ((-868 . -1052) 2890) ((-477 . -1106) T) ((-139 . -832) 2872) ((-114 . -832) 2853) ((-621 . -102) T) ((-1195 . -489) 2837) ((-251 . -368) 2816) ((-250 . -368) 2795) ((-1057 . -1046) T) ((-295 . -107) 2745) ((-130 . -611) 2727) ((-128 . -612) NIL) ((-128 . -611) 2671) ((-117 . -102) T) ((-949 . -1046) T) ((-868 . -111) 2600) ((-477 . -23) T) ((-481 . -1046) T) ((-1057 . -233) T) ((-949 . -326) 2569) ((-481 . -326) 2526) ((-355 . -172) T) ((-352 . -172) T) ((-344 . -172) T) ((-264 . -172) 2437) ((-247 . -172) 2348) ((-960 . -1035) 2244) ((-517 . -490) 2225) ((-732 . -1035) 2196) ((-517 . -611) 2162) ((-1099 . -102) T) ((-1086 . -611) 2129) ((-1031 . -611) 2111) ((-1272 . -151) 2095) ((-1270 . -614) 2076) ((-1264 . -611) 2058) ((-1251 . -723) T) ((-1244 . -723) T) ((-1223 . -788) NIL) ((-1223 . -791) NIL) ((-169 . -1052) 1968) ((-907 . -172) T) ((-868 . -614) 1898) ((-1223 . -723) T) ((-1269 . -614) 1879) ((-1000 . -342) 1853) ((-997 . -514) 1786) ((-840 . -847) 1765) ((-564 . -1145) T) ((-474 . -290) 1716) ((-595 . -723) T) ((-361 . -611) 1698) ((-322 . -611) 1680) ((-418 . -1035) 1576) ((-594 . -723) T) ((-407 . -847) 1527) ((-169 . -111) 1423) ((-830 . -131) 1375) ((-734 . -151) 1359) ((-1259 . -309) 1297) ((-487 . -307) T) ((-379 . -611) 1264) ((-520 . -1007) 1248) ((-379 . -612) 1162) ((-217 . -307) T) ((-141 . -151) 1144) ((-711 . -286) 1123) ((-487 . -1019) T) ((-580 . -38) 1110) ((-564 . -38) 1097) ((-495 . -38) 1062) ((-217 . -1019) T) ((-868 . -1046) T) ((-833 . -611) 1044) ((-824 . -611) 1026) ((-822 . -611) 1008) ((-813 . -906) 987) ((-1283 . -1106) T) ((-1232 . -1052) 810) ((-852 . -1052) 794) ((-868 . -243) T) ((-868 . -233) NIL) ((-685 . -1209) T) ((-1283 . -23) T) ((-813 . -644) 719) ((-550 . -1209) T) ((-418 . -338) 703) ((-571 . -1052) 690) ((-1232 . -111) 499) ((-697 . -637) 481) ((-852 . -111) 460) ((-381 . -23) T) ((-169 . -614) 238) ((-1182 . -514) 30) ((-658 . -1094) T) ((-677 . -1094) T) ((-672 . -1094) T)) 
+\ No newline at end of file
diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase
index f09aa508..c27e912b 100644
--- a/src/share/algebra/compress.daase
+++ b/src/share/algebra/compress.daase
@@ -1,5 +1,5 @@
 
-(30 . 3450528886)            
+(30 . 3450896458)            
 (4415 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
  ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join|
  |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&|
@@ -477,660 +477,664 @@
  |XPolynomial| |XPolynomialRing| |XRecursivePolynomial|
  |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage|
  |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping|
- |Record| |Union| |simpleBounds?| |nonSingularModel| |units| |inv|
- |monomRDE| |minimize| |univariatePolynomial| |internalSubPolSet?|
- |stronglyReduced?| |removeSuperfluousCases| |open?| |leftUnits|
- |ground?| |ode1| |readBytes!| |color| |polCase| |transcendent?|
- |domainOf| |credPol| |selectODEIVPRoutines| |defineProperty|
- |physicalLength!| |rischDE| |ground| |useSingleFactorBound?|
- |strongGenerators| |port| |viewPhiDefault| |setPoly|
- |selectMultiDimensionalRoutines| |s17dcf| |atanhIfCan| |iiabs|
- |mapmult| |duplicates| |squareFreePart| |odd?| |leadingMonomial|
- |showScalarValues| |besselK| |unprotectedRemoveRedundantFactors|
- |elements| |resetAttributeButtons| |viewThetaDefault| |cAsin| |index?|
- |redpps| |factorsOfDegree| |factor1| |f02wef| |cyclotomic| |t|
- |leadingCoefficient| |hue| |exquo| |bipolarCylindrical| |overbar|
- |key| |OMencodingSGML| |conditionP| |code| |check| |arg1| |d02bbf|
- |div| |setStatus!| |primitiveMonomials| |printInfo!|
- |stosePrepareSubResAlgo| |mindeg| |basisOfLeftNucloid| |froot|
- |mainPrimitivePart| |nextNormalPoly| |symmetricTensors|
- |eisensteinIrreducible?| |groebgen| |arg2| |quo| |viewWriteAvailable|
- |rewriteIdealWithRemainder| |reductum| |imagK| |bumptab|
- |homogeneous?| |filename| |subMatrix| |polygamma| |startStats!|
- |generic?| |printInfo| |nextSublist| |getStream| |bracket|
- |branchIfCan| |identityMatrix| |removeCoshSq| |antiCommutator| |not?|
- |initTable!| |showFortranOutputStack| |internalInfRittWu?|
- |modularGcdPrimitive| |rootProduct| |exptMod| |s17agf| |rem|
- |createThreeSpace| |infix| |conditions| |dimensionsOf| |parse|
- |setOrder| |createZechTable| |e04dgf| |inHallBasis?| |applyRules|
- |sub| |intcompBasis| |upperCase!| |inR?| |match| |scopes| |elRow1!|
- |optAttributes| |expintfldpoly| |mainKernel| |reciprocalPolynomial|
- |central?| |eigenvalues| |pomopo!| |PDESolve| |unit| |quadratic| |Nul|
- |d02bhf| |OMgetFloat| |palgint| |leftZero| |revert| |OMclose|
- |headRemainder| |differentialVariables| |fibonacci| |sequence|
- |f07fef| UTS2UP |alphanumeric| |primPartElseUnitCanonical|
- |partialQuotients| |exponential1| |iiacsc| |substring?| |drawComplex|
- |subNodeOf?| |log2| |modifyPoint| |numFunEvals| |showSummary|
- |shallowCopy| |addBadValue| |order| |trapezoidal| |univariate?|
- |multiEuclidean| |flexible?| |normalizeAtInfinity| |viewWriteDefault|
- |parameters| |factorSFBRlcUnit| |createLowComplexityTable| |e02adf|
- |adaptive| |semiResultantEuclideannaif| |prepareDecompose| |suffix?|
- |pack!| |setMinPoints3D| |elementary| |matrixConcat3D| |qinterval|
- |pointColorPalette| |showAttributes| |computeBasis| |realZeros|
- |integers| |semiDiscriminantEuclidean| |sinhcosh| |f02aef|
- |setMaxPoints3D| |ellipticCylindrical| |result| |headReduced?|
- |linearAssociatedExp| |leftMinimalPolynomial| |polygon| |dmpToP|
- |prefix?| |validExponential| |numerator| BY
- |tableForDiscreteLogarithm| |fracPart| |primeFactor| |symmetricSquare|
- |balancedFactorisation| |writeLine!| |reset| |selectNonFiniteRoutines|
- |perspective| |changeMeasure| |besselY| |simplifyExp| |BumInSepFFE|
- |maxPoints| |se2rfi| |createLowComplexityNormalBasis|
- |rightExactQuotient| |has?| |operators| |linearAssociatedOrder|
- |numberOfNormalPoly| |tryFunctionalDecomposition?| |conjugates|
- |sqfree| |squareFreePrim| |bivariatePolynomials| |write| |binary|
- |sylvesterSequence| |genus| |leftRecip| |e02dcf|
- |unrankImproperPartitions1| |safeCeiling|
- |removeRoughlyRedundantFactorsInPols| |atrapezoidal| |edf2efi| |save|
- |zero| |setPredicates| |extendedEuclidean| |orbits| |Is|
- |clearTheFTable| |rk4qc| |null?| |readInt8!| |setClosed| |even?|
- |node?| |rootOf| |janko2| |nextsousResultant2| |constantOperator|
- |plotPolar| |nthRootIfCan| |rootDirectory| |write!| |e02aef| |nothing|
- |infix?| |And| |zero?| |coth2tanh| |nextsubResultant2| |var2Steps|
- |selectAndPolynomials| |lazyIntegrate| |sorted?|
- |factorSquareFreeByRecursion| |FormatRoman| |pointColorDefault|
- |leftUnit| |Or| |mask| |cSech| |setProperties| |setColumn!|
- |alphabetic| |tablePow| |csc2sin| |minGbasis| |jacobian|
- |plusInfinity| |rewriteSetWithReduction| |Not| |hasoln| |atanIfCan|
- |unitCanonical| |internalIntegrate0| |critMonD1| |lfintegrate|
- |semiResultantEuclidean2| |dn| |f07fdf| |minusInfinity| |cycleRagits|
- |alphanumeric?| |squareFree| |lexGroebner| |rootKerSimp| |rank|
- |RittWuCompare| |e01sff| |palgint0| |cAcsch| |OMputObject|
- |partialFraction| |checkForZero| |ratDenom| |splitNodeOf!| |e02def|
- |maxint| |f01rdf| |option?| |d02ejf| |mkIntegral| |exactQuotient!|
- |balancedBinaryTree| |principalAncestors| |f04maf| |width| |multiple?|
- |setfirst!| |weighted| |repeating| |limitPlus| |hdmpToP| |aQuartic|
- |viewDeltaXDefault| |palgRDE| |s19adf| |firstDenom| |UP2ifCan|
- |completeEchelonBasis| |cAsec| |e02dff| |flatten| |collect| |rk4|
- |diagonalMatrix| |possiblyInfinite?| |equiv?| |setprevious!|
- |outputFloating| |type| |hclf| |inf| |adaptive?| |llprop|
- |primlimitedint| |getBadValues| |viewPosDefault| |nodes|
- |removeSuperfluousQuasiComponents| |outputArgs|
- |characteristicPolynomial| |reverse!| |high| |bezoutDiscriminant|
- |sizeMultiplication| |numer| |radicalRoots| |primintegrate|
- |clipSurface| |iidsum| |coercePreimagesImages| |harmonic| |OMputError|
- |vconcat| |hasHi| |iomode| |myDegree| |linSolve| |denom| |iiasin|
- |extractSplittingLeaf| |iiasech| |resultantnaif| |shrinkable|
- |fintegrate| |deleteRoutine!| |showAllElements| |RemainderList|
- |primaryDecomp| |axes| |getMatch| |terms| |qualifier| |changeVar|
- |digamma| |polarCoordinates| |sumSquares| |associator| |pi| |optional|
- |key?| |s18adf| |monic?| |leadingIdeal| |d01gbf| |iisech| |pair?|
- |eigenvector| |lepol| |d01apf| |infinity| |zerosOf| |extractPoint| ~
- |printingInfo?| |isPower| |mainCharacterization| |e02ajf|
- |getSyntaxFormsFromFile| |var2StepsDefault| |lowerCase?| |concat!|
- |complexLimit| |f02awf| |lift| |subSet| |approximants|
- |lieAdmissible?| |lflimitedint| |findCycle| = |open| |mainVariable?|
- |torsionIfCan| |cscIfCan| |acothIfCan| |multisect| |categories|
- |reduce| |generator| |subresultantSequence| |OMgetAttr| |cyclicEqual?|
- |infRittWu?| |solveLinearlyOverQ| |nullary?| |kernel| |denomRicDE|
- |makingStats?| |curveColorPalette| |OMputEndBVar| |realElementary|
- |writeInt8!| |zeroSetSplitIntoTriangularSystems| |degreePartition|
- |OMputEndApp| < |draw| |stopTableGcd!| |getlo| |tanhIfCan|
- |numberOfComposites| |term?| |socf2socdf| |cardinality|
- |selectOrPolynomials| |semicolonSeparate| |showArrayValues| >
- |basisOfLeftAnnihilator| |tracePowMod| |e02bdf|
- |expenseOfEvaluationIF| |typeList| |d01gaf| |critMTonD1| |const|
- |monomials| |red| <= |showIntensityFunctions| |leadingBasisTerm|
- |s14aaf| |select!| |recur| |operations| |subspace| |setFieldInfo|
- |subResultantChain| |invertibleElseSplit?| |bounds| >=
- |toseInvertible?| |palgextint0| |pastel| |seriesSolve| |s21bcf| |rk4a|
- |leftPower| |subHeight| |modTree| |lyndonIfCan| |makeObject|
- |HenselLift| |in?| |rightQuotient| |groebSolve| |henselFact|
- |extendedSubResultantGcd| |bernoulliB| |leftFactorIfCan| |ridHack1|
- |powern| |cycle| |midpoint| |algebraicOf| |setPosition| |c05adf|
- |clipWithRanges| |invertIfCan| |aromberg| |clearTheSymbolTable|
- |constantKernel| |directSum| + |zeroOf| |ParCond| |coef|
- |resultantEuclideannaif| |iroot| |clipParametric| |currentEnv| |df2st|
- |f04qaf| |hdmpToDmp| |selectSumOfSquaresRoutines| |swapColumns!|
- |region| - |weakBiRank| |rightUnits| |clearCache| |cyclicCopy|
- |rootSimp| |inverseIntegralMatrixAtInfinity| |taylorQuoByVar| LODO2FUN
- |stirling2| |someBasis| |pleskenSplit| |matrixDimensions| /
- |rightPower| |setref| |roman| |showTheFTable| |torsion?|
- |leftRegularRepresentation| |components| |d03faf| |pr2dmp| |rotate!|
- |resetNew| |solveLinearPolynomialEquationByFractions| |listexp|
- |subResultantGcdEuclidean| |extension| |cAsech| |byte| |forLoop|
- |linearMatrix| |fortranLiteralLine| |octon| |initiallyReduce|
- |totalDifferential| |concat| |cyclicGroup| |nextLatticePermutation|
- |latex| |tValues| |d01fcf| |hessian| |modifyPointData| |optional?|
- |tanNa| |cyclic?| |s17aef| |OMputEndAttr| |splitConstant| F2FG
- |f02ajf| |rootPoly| |testDim| |sturmSequence| |aCubic|
- |solveLinearPolynomialEquationByRecursion| |f01mcf| |trunc|
- |superHeight| |lambert| |int| |quoted?| |asinhIfCan| |divideIfCan|
- |explimitedint| |OMsupportsSymbol?| |collectUnder|
- |clearFortranOutputStack| |f02xef| |intPatternMatch| |xCoord|
- |bitTruth| |legendre| |bright| |viewpoint| |splitSquarefree|
- |LowTriBddDenomInv| |rightDiscriminant| |low| |laurentRep| |d02gaf|
- |cycleSplit!| |LazardQuotient2| |supDimElseRittWu?| |twoFactor|
- |symmetricProduct| |indiceSubResultant| |squareFreePolynomial|
- |iiacoth| |pushdterm| |mat| |toseLastSubResultant| |keys| |reverse|
- |OMputEndAtp| |generalizedInverse| |prime?| |normal?| |removeZeroes|
- |list| |move| |changeName| |is?| |zeroSquareMatrix|
- |createPrimitivePoly| |enterInCache| |SFunction| |primitive?| |s17akf|
- |root| |car| |leftScalarTimes!| |generalizedEigenvectors|
- |sturmVariationsOf| |bytes| |c06fqf| |Frobenius| |complex?|
- |bernoulli| |laplace| |diagonal?| |cdr| |tubeRadius| |conjugate|
- |initiallyReduced?| |cyclotomicFactorization| |diag| |primeFrobenius|
- |padicFraction| |ptFunc| |stoseInvertibleSetsqfreg| |setDifference|
- |sn| |e01daf| |rule| |yRange| |oddintegers| |makeEq|
- |showTypeInOutput| |commutativeEquality| |definingInequation| |escape|
- |implies| |setIntersection| |declare| |printCode|
- |nextNormalPrimitivePoly| |zRange| |outputForm| |ode2|
- |leftCharacteristicPolynomial| |jordanAdmissible?| |rk4f| |OMwrite|
- |minColIndex| |setUnion| |scaleRoots| |randnum| |map!| |retractable?|
- |invertible?| |cylindrical| |cCosh| |primPartElseUnitCanonical!|
- |setClipValue| |headAst| |apply| |partialNumerators| |qsetelt!|
- |drawCurves| |error| |negative?| |lllip| |firstUncouplingMatrix|
- |arity| |iteratedInitials| |vedf2vef| |mesh?| |isConnected?|
- |subResultantsChain| |writeByte!| |assert| |hex| |mainMonomial|
- |baseRDEsys| |primitivePart| |imaginary| |constant?| |size|
- |stirling1| |computeInt| |dec| |solveRetract| |cos2sec| |polyPart|
- |setVariableOrder| |bitCoef| |stoseInvertibleSetreg| |nthFlag|
- |quasiMonic?| |sayLength| |prinpolINFO| |trueEqual| |cfirst| |meatAxe|
- |bipolar| |addPoint| |cup| |sts2stst| |interactiveEnv|
- |mainSquareFreePart| |minimalPolynomial| |c06gcf| |hasSolution?|
- |iisqrt3| |leadingSupport| |transform| |read!| |goodnessOfFit| |first|
- |minus!| |normalizedDivide| |imagE| |acsch| |getMeasure|
- |semiLastSubResultantEuclidean| |properties| |constantToUnaryFunction|
- |setScreenResolution3D| |bandedHessian| |coerceL| |f07adf| |failed|
- |rest| |setright!| |s15adf| |aLinear| |coleman| |belong?| |translate|
- |e01bhf| |OMgetEndBVar| |realEigenvalues| |nextColeman| |substitute|
- |iterationVar| |multMonom| |OMgetEndError| |objectOf| |hexDigit|
- |bothWays| |incrementKthElement| |fortranInteger| |maxRowIndex|
- |removeDuplicates| |perfectSquare?| |beauzamyBound| |viewSizeDefault|
- |ramifiedAtInfinity?| |say| |delete| |cosh2sech| |triangular?|
- |LiePolyIfCan| |rewriteIdealWithHeadRemainder| |insertionSort!|
- |evenlambert| |genericRightNorm| |UpTriBddDenomInv| |nullity|
- |monicCompleteDecompose| |finiteBound| |fmecg| |oblateSpheroidal|
- |algebraicSort| |s17dhf| |rotatey| |genericRightTraceForm| |prevPrime|
- |drawToScale| |fixedDivisor| |lieAlgebra?| |leftTrace| |swapRows!|
- |OMputAttr| |d01asf| |laguerre| |space| |setValue!|
- |rightMinimalPolynomial| |leaf?| |toroidal| |cAsinh| |linGenPos|
- |euler| |minordet| |s17ajf| |rightFactorIfCan| |neglist|
- |startPolynomial| |functionIsContinuousAtEndPoints|
- |removeRedundantFactors| |lazyPseudoRemainder| |nlde| |getProperties|
- |startTableInvSet!| |usingTable?| |d03eef| |e01sbf| |youngGroup|
- |numerators| |size?| |s15aef| |constantRight| |changeBase|
- |signAround| |colorDef| |bumprow| |invmod| |maxrank| |refine|
- |setEmpty!| |postfix| |symFunc| |superscript| |noLinearFactor?|
- |unitNormal| |curve| |nativeModuleExtension| |laplacian| |iibinom|
- |fortranCarriageReturn| |doubleResultant| |f04faf| |chebyshevT|
- |musserTrials| |KrullNumber| |extractProperty| |makeGraphImage|
- |purelyTranscendental?| |OMgetInteger| |composites| |irreducible?|
- |more?| |match?| |bat| |algebraicDecompose| |crushedSet|
- |currentSubProgram| |trigs2explogs| |scalarTypeOf| |totalDegree|
- |midpoints| |anticoord| |prinshINFO| |listConjugateBases|
- |internalZeroSetSplit| |trapezoidalo| |virtualDegree| |double|
- |generic| |symmetricGroup| |gethi| |square?| |sPol|
- |pushFortranOutputStack| |integerIfCan| |f02bjf| |Lazard|
- |lazyPremWithDefault| |pole?| |expintegrate| |mainExpression|
- |differentiate| |numberOfImproperPartitions| |lprop| |elRow2!|
- |popFortranOutputStack| |iiGamma| |imports| |pmComplexintegrate|
- |identification| |quasiAlgebraicSet| |findBinding| |part?| |eulerE|
- |assign| |norm| |logpart| |ramified?| |simplifyLog| |shiftRoots|
- |constant| |cRationalPower| |retractIfCan| |viewport2D| |debug|
- |derivationCoordinates| |roughSubIdeal?| |ratPoly| |maximumExponent|
- |extractClosed| |complexNormalize| |processTemplate| |OMopenString|
- |fortranLiteral| |pureLex| |useSingleFactorBound| D |iisec| |Beta|
- |createNormalPoly| |OMgetAtp| |hspace| |float| |e02akf| |OMgetApp|
- |modularGcd| |prod| |selectPolynomials| |increasePrecision|
- |wholeRagits| |OMputBVar| |dflist| |sinIfCan| |vspace| |e02zaf| |pquo|
- |monomialIntegrate| |resultantReduit| |unexpand| |deref| |mesh|
- |outputAsFortran| |bivariate?| |leastPower| |semiResultantEuclidean1|
- |declare!| |pointSizeDefault| |ip4Address| |selectFiniteRoutines|
- |/\\| |halfExtendedResultant2| |level| |cycles| |blankSeparate|
- |characteristicSet| |reducedForm| |normalDeriv| |associatedEquations|
- |every?| |iiacot| |vark| |anfactor| |\\/| |minRowIndex| |gradient|
- |front| |countRealRoots| |selectOptimizationRoutines| |component|
- |constantIfCan| |fractRagits| |halfExtendedResultant1| |listLoops|
- |rotatex| |fractionFreeGauss!| |normalized?| |character?|
- |screenResolution| |d01aqf| |composite| |arrayStack| |subset?|
- |factorByRecursion| |log| |fixPredicate| |symbol?|
- |complexEigenvectors| |inGroundField?| |setRow!| |fprindINFO| |mapGen|
- |map| |ranges| |karatsubaDivide| |setLegalFortranSourceExtensions|
- |localAbs| |OMgetEndApp| |removeRedundantFactorsInPols|
- |fixedPointExquo| |combineFeatureCompatibility| |equality| |coerceP|
- |genericLeftTrace| |lfinfieldint| |numericIfCan| GE |splitDenominator|
- |makeSUP| |real?| |indicialEquationAtInfinity| |lfunc| |normalForm|
- |nthFractionalTerm| |print| |c02aff| |getPickedPoints| |entry?|
- |integralBasis| |one?| GT |zeroMatrix| |restorePrecision|
- |rangeIsFinite| |rightNorm| |segment| |graphImage| |resolve|
- |denominators| |removeConstantTerm| |unaryFunction| |OMsupportsCD?|
- |radicalEigenvector| LE |d02cjf| |f04adf| |permutations|
- |purelyAlgebraicLeadingMonomial?| |extendIfCan| |exteriorDifferential|
- |Lazard2| |node| |writeUInt8!| |expint| LT |unitVector|
- |OMParseError?| |monicLeftDivide| |categoryFrame| |heapSort|
- |mantissa| |besselJ| |insert!| |convert| |f01bsf| |retract| |e02bbf|
- |hMonic| |stFunc2| |getButtonValue| |setTopPredicate|
- |stiffnessAndStabilityOfODEIF| |bitLength| |listOfMonoms|
- |numberOfOperations| |limit| |doublyTransitive?| |univariateSolve|
- |divergence| |center| |newReduc| |integralLastSubResultant|
- |leftExactQuotient| |mvar| |endSubProgram| |groebnerFactorize|
- |nullSpace| |unary?| |swap!| |primes| |vectorise| |scripted?| |cAcot|
- |setOfMinN| |dimensions| |distFact| |linears| |nil| |quotientByP|
- |unknownEndian| |OMencodingXML| |f2st| |ODESolve| |logGamma|
- |maxIndex| |curveColor| |leadingCoefficientRicDE| |makeResult|
- |status| |leastAffineMultiple| |mathieu24| |readLineIfCan!| |makeFR|
- |listRepresentation| |intermediateResultsIF| |structuralConstants|
- |numberOfComponents| |iicoth| |permutationRepresentation|
- |semiSubResultantGcdEuclidean1| |basisOfRightNucleus| |complement|
- |algintegrate| |birth| |idealiser| |errorKind| |maxColIndex| |makeop|
- |pointData| |iicsch| |approximate| |genericRightTrace| |zeroDim?|
- |erf| |getOperands| |d01alf| |ptree| |critBonD| |sylvesterMatrix|
- |push| |asecIfCan| |laurentIfCan| |complex| |GospersMethod| |insert|
- |createMultiplicationTable| |intensity| |divideExponents|
- |setMinPoints| |charClass| |e02agf| |getGraph| |whileLoop|
- |areEquivalent?| |listBranches| |minPoly| |identitySquareMatrix|
- |iitanh| |opeval| |super| |factorset| |rootPower| |module|
- |decreasePrecision| |cCoth| |extractTop!| |lfextendedint| |dilog|
- |purelyAlgebraic?| |flexibleArray| |reduceLODE| |indicialEquations|
- GF2FG |deriv| |pol| |tanIfCan| |prolateSpheroidal| |df2mf|
- |numberOfPrimitivePoly| |shift| |sin| |iprint| |mainMonomials|
- |deepCopy| |tubePoints| |coerceImages| |symmetric?| |removeCosSq|
- |complementaryBasis| |OMputAtp| |toseInvertibleSet| |cos|
- |shallowExpand| |largest| |innerint| |constantCoefficientRicDE|
- |ldf2vmf| |solveLinearPolynomialEquation| |safetyMargin| |empty?|
- |integerBound| |idealiserMatrix| |setCondition!| |remove|
- |loadNativeModule| |tan| |singularitiesOf| |green| |exQuo|
- |getExplanations| |lastSubResultant| |unmakeSUP| |leaves| |nodeOf?|
- |trigs| |copies| |rarrow| |times| |cot| |separate| |meshPar1Var|
- |acoshIfCan| |changeNameToObjf| |pow| |createMultiplicationMatrix|
- |s18dcf| |ratpart| |equation| |nextPrimitivePoly| |zCoord| |last|
- |sec| |headReduce| |freeOf?| |graphCurves| |supersub| |isList|
- |minPoints| |lazyVariations| |remainder| |comp| |assoc| |function|
- |whatInfinity| |OMputString| |over| |csc| |mapExpon| |complexExpand|
- |complexNumericIfCan| |stoseInternalLastSubResultant| |conical|
- |recolor| |pushucoef| |create3Space| |asin| |printTypes| |string?|
- |iipow| |f04mcf| |overlabel| |members| |merge!| |expt| |entry|
- |totolex| |acos| |left| |monom| |roughBasicSet| |slex| |eval|
- |rdHack1| |innerSolve1| |just| |selectIntegrationRoutines|
- |perfectNthPower?| |acschIfCan| |optimize| |iicos| |cn| |right|
- |movedPoints| |psolve| |atan| |overset?| |unitNormalize| |minPoints3D|
- |putGraph| |summation| |prime| |varselect| |lowerCase| |quatern|
- |acot| |clearDenominator| |numberOfChildren| |subscriptedVariables|
- |quadratic?| |dualSignature| |conjug| |clip| |common| |float?| |asec|
- |setEpilogue!| |d02raf| |internalIntegrate| FG2F |leftFactor| |rst|
- |viewport3D| |deleteProperty!| |extendedint| |evenInfiniteProduct|
- |acsc| |oneDimensionalArray| |nsqfree| |getProperty| |contract|
- |bezoutResultant| |makeVariable| |relerror| |monicRightDivide| |sinh|
- |magnitude| |moebius| |predicate| |interReduce| |coerceListOfPairs|
- |reducedDiscriminant| |symmetricRemainder| |rationalFunction|
- |innerSolve| |lazy?| |f04jgf| |cosh| |sizePascalTriangle|
- |radicalSimplify| |SturmHabicht| |hitherPlane| |makeSin| |imagJ|
- |e01bff| |head| |dmp2rfi| |tanh| |setAdaptive| |cTan| |complexZeros|
- |nil?| |exp1| |OMputEndObject| |newLine| |B1solve| |boundOfCauchy|
- |top| |integral| |coth| |cosIfCan| |discreteLog| |pushup|
- |lineColorDefault| |isobaric?| |middle| |UnVectorise| |mathieu11|
- |digits| |sech| |stFuncN| |dot| |getMultiplicationMatrix| |imagk|
- |rightRecip| |invmultisect| |child| |removeZero| |lcm| |Ci| |adjoint|
- |pop!| |csch| |variationOfParameters| |dom| |rationalApproximation|
- |pseudoQuotient| |mappingAst| |alternatingGroup| |bsolve|
- |minimumDegree| |principalIdeal| |operator| |closedCurve| |asinh|
- |functionIsOscillatory| |sequences| |OMopenFile| |setPrologue!|
- |iicot| |bubbleSort!| |perfectSqrt| |append| |symbol| |nextPartition|
- |OMlistSymbols| |acosh| |rombergo| |antisymmetric?| |complexIntegrate|
- |meshPar2Var| |palglimint0| |sincos| |setAttributeButtonStep|
- |discriminantEuclidean| |hermite| |expression| |gcd| |atanh|
- |outputBinaryFile| |mightHaveRoots| |mapCoef| |slash|
- |doubleFloatFormat| |messagePrint| |sqfrFactor| |false|
- |internalAugment| |integer| |plot| |acoth| |cartesian| |yCoordinates|
- |c05nbf| |limitedIntegrate| |cSin| |stoseInvertible?| |tree|
- |selectsecond| |stoseInvertible?reg|
- |rewriteIdealWithQuasiMonicGenerators| |asech| |divideIfCan!|
- |sparsityIF| |semiDegreeSubResultantEuclidean| |title|
- |basisOfRightAnnihilator| |resize| |decomposeFunc|
- |basisOfCommutingElements| |maxPoints3D| |s20adf| |dioSolve| |lexico|
- |gcdprim| |innerEigenvectors| |comparison| |complexElementary|
- |multiple| |printStats!| |extractIfCan| |fortranDoubleComplex|
- |setScreenResolution| |numberOfFractionalTerms| |distance| |inspect|
- |applyQuote| |minPol| |radix| |#| |normalize| |e| |intChoose|
- |shufflein| |getConstant| |relationsIdeal| |recoverAfterFail|
- |scalarMatrix| |create| |label| |rightAlternative?|
- |explicitlyFinite?| |external?| |fTable| |variable?| |fortranDouble|
- |c06frf| |countable?| |ScanFloatIgnoreSpacesIfCan| |geometric|
- |generalizedContinuumHypothesisAssumed| |divisorCascade|
- |setImagSteps| |setRealSteps| |specialTrigs| |ruleset| |tanAn|
- |complete| |secIfCan| |cyclePartition| |transcendentalDecompose|
- |column| |gensym| |idealSimplify| |argscript| |elColumn2!| |critT|
- |f04mbf| |OMconnOutDevice| |exprHasAlgebraicWeight| |updatF|
- |cyclicParents| |removeDuplicates!| |repeating?| |nthExpon|
- |asechIfCan| |fi2df| |critpOrder| |suchThat| |userOrdered?| |bfKeys|
- |zeroVector| |kmax| |bit?| |empty| |branchPoint?| |cAtanh| |chiSquare|
- |lowerPolynomial| |readByte!| |internalSubQuasiComponent?| |arguments|
- |closeComponent| |mirror| |constructor| |monomialIntPoly|
- |roughUnitIdeal?| |f2df| |mainVariable| |stack| |iiacsch| |e01bgf|
- |numFunEvals3D| |OMputEndBind| |mapdiv| |chineseRemainder| |option|
- |genericRightMinimalPolynomial| |coord| |monicModulo|
- |multiplyCoefficients| |rules| |signatureAst| |digit| |iflist2Result|
- |dimensionOfIrreducibleRepresentation| |compactFraction| |sh|
- |thenBranch| |dimension| |test| |setProperty| |localReal?| |yCoord|
- |cAcos| |integralAtInfinity?| |implies?| |iicsc| |elseBranch|
- |kovacic| |dim| |lastSubResultantElseSplit| |palginfieldint| |romberg|
- |palglimint| |e02ddf| |oddlambert| |c02agf| |maxdeg| |polar|
- |fullDisplay| |lyndon?| |c05pbf| |prefix| |smith| |outputSpacing|
- |numberOfCycles| |exactQuotient| |rightTrim| |delete!| |s17ahf|
- |OMcloseConn| |ListOfTerms| |weierstrass| |sort| |find| |yellow|
- |element?| |leftTrim| |commaSeparate| |tube| |rightUnit| |cAcoth|
- |rischNormalize| |quadraticNorm| |separateFactors| |badValues|
- |integralDerivationMatrix| |OMconnectTCP| |associatorDependence|
- |indicialEquation| |rightRegularRepresentation| |e02bcf|
- |listYoungTableaus| |highCommonTerms| |iiasinh| |insertMatch|
- |createPrimitiveElement| |lazyPseudoQuotient| |shade| |OMgetObject|
- |exprHasWeightCosWXorSinWX| |shanksDiscLogAlgorithm| |errorInfo|
- |stopMusserTrials| |symmetricDifference| |singleFactorBound| |rCoord|
- |tryFunctionalDecomposition| |random| |explogs2trigs| |setProperties!|
- |notOperand| |pade| |integralBasisAtInfinity| |karatsuba|
- |genericLeftMinimalPolynomial| |patternMatchTimes| |sin2csc|
- |systemSizeIF| |internalDecompose| |equiv| |elliptic?|
- |linearlyDependent?| |associative?| |updatD| |reseed|
- |binarySearchTree| |reindex| |s14abf| |withPredicates| |monomial?|
- |palgRDE0| |primextendedint| |showTheSymbolTable| |eigenvectors|
- |cycleLength| |nextPrimitiveNormalPoly| |pattern| |hexDigit?|
- |leftOne| |rootBound| |fractRadix| |iisqrt2| |edf2fi| |physicalLength|
- |second| |f02abf| |moduleSum| |wordInGenerators| |setErrorBound|
- |OMputBind| |reify| |readInt32!| |d01bbf| |third| |increment|
- |palgextint| |drawStyle| |leftAlternative?| |determinant|
- |integralCoordinates| |setLabelValue| |doubleDisc| |minIndex|
- |addPoint2| |outerProduct| |swap| |numberOfMonomials| |delay|
- |subResultantGcd| |makeTerm| |pdf2ef| |htrigs| |getCode| |airyAi|
- |message| |spherical| |stoseLastSubResultant| |solid| |perfectNthRoot|
- |hconcat| |LyndonWordsList| |s17def| |cot2tan|
- |factorsOfCyclicGroupSize| |removeIrreducibleRedundantFactors|
- |alternating| |c06gbf| |viewZoomDefault| |factors| |adaptive3D?|
- |createNormalPrimitivePoly| |makeSeries| |LyndonWordsList1| |ef2edf|
- |mulmod| |removeRoughlyRedundantFactorsInPol| |factorList| |compdegd|
- |mapUnivariate| |quotient| |s17aff| |normFactors| |floor| |void|
- |child?| |palgLODE| |definingEquations| |positiveRemainder| |qPot|
- |realEigenvectors| |extend| |truncate| |e04jaf| |e01bef| |infinite?|
- |An| |factorSquareFreePolynomial| |quasiRegular?| |leftRankPolynomial|
- |figureUnits| |f02akf| |cons| |bindings| |rightRemainder| |crest|
- |iidprod| |totalfract| |eof?| |mainForm| |factorGroebnerBasis|
- |transcendenceDegree| |cAcsc| |sum| |gbasis| |s20acf| |OMgetBind|
- |newTypeLists| |curve?| |mr| |getIdentifier| |sech2cosh| |OMreadFile|
- |rational| |expandTrigProducts| |mergeFactors| UP2UTS |exponent|
- |internal?| |presub| |squareFreeFactors| |outputAsScript|
- |returnType!| |nextPrime| |ksec| |equivOperands| |cSec|
- |setsubMatrix!| |s18def| |schema| |tanh2coth| |scan| |ignore?|
- |outputMeasure| |fglmIfCan| |mathieu12| |trivialIdeal?|
- |numericalOptimization| |scale| |testModulus| |exponentialOrder|
- |rightTraceMatrix| |squareFreeLexTriangular| |host| |lp|
- |systemCommand| |rightExtendedGcd| |source| |lhs|
- |scanOneDimSubspaces| |prepareSubResAlgo| |rightMult|
- |noncommutativeJordanAlgebra?| |makeCrit| |lintgcd| |csch2sinh|
- |extensionDegree| |pToDmp| |rhs| |isMult| |collectQuasiMonic|
- |mainDefiningPolynomial| |inrootof| |inputBinaryFile| |parseString|
- |reduction| |indices| |quotedOperators| |redPol| |argument| |e04ycf|
- |generalPosition| |lex| |distdfact| |csubst| |curry| |positive?|
- |rspace| |normal| |wrregime| |quartic| |product| |minrank|
- |semiResultantReduitEuclidean| |endOfFile?| |box| |mix|
- |algebraicVariables| |ldf2lst| |traceMatrix| |quasiComponent| |s13acf|
- |preprocess| |normInvertible?| |target| |hypergeometric0F1|
- |complexSolve| |parents| |quickSort| |rightZero| |hcrf| |returns|
- |asimpson| |charpol| |df2ef| |OMgetSymbol| |iisinh| |commutative?|
- |satisfy?| |e02daf| |roughEqualIdeals?| |jacobiIdentity?| |precision|
- |nonLinearPart| |saturate| |rightRankPolynomial| |exprToXXP|
- |leastMonomial| |subCase?| |sample| |coefficient| |radicalSolve|
- |buildSyntax| |twist| |numberOfIrreduciblePoly| |setlast!| |paren|
- |failed?| |e04naf| |antisymmetricTensors| |sign| |lazyResidueClass|
- |cond| |leftGcd| |quasiMonicPolynomials| |solveid| |denominator|
- |ravel| |algebraicCoefficients?| |iiasec| |eyeDistance| |vertConcat|
- |subst| |prindINFO| |internalLastSubResultant| |exprToGenUPS| |row|
- |makeFloatFunction| |factorPolynomial| |reshape| |subscript| |rowEch|
- |zeroDimPrime?| |dAndcExp| |block| |subresultantVector| |commutator|
- |numericalIntegration| |predicates| |s21baf| |basisOfRightNucloid|
- |groebner| |simplify| |pascalTriangle| |delta| |outputList|
- |indiceSubResultantEuclidean| |multinomial| |PollardSmallFactor|
- |lSpaceBasis| |unparse| |quadraticForm| |d01amf| |imagI| |lists|
- |associatedSystem| |genericLeftDiscriminant| |certainlySubVariety?|
- |OMgetEndAtp| |linearAssociatedLog| |inputOutputBinaryFile|
- |setvalue!| |loopPoints| |trailingCoefficient| |sdf2lst| |exprToUPS|
- |integralMatrix| |LyndonBasis| |d02kef| |weights| |probablyZeroDim?|
- |call| |bombieriNorm| |wronskianMatrix| |oddInfiniteProduct| |update|
- |e04mbf| |leader| |factorials| |ScanArabic| |objects| |getOrder|
- |viewDeltaYDefault| |normalizedAssociate| |rootNormalize|
- |representationType| |contains?| |double?| |c06ebf| |base| **
- |byteBuffer| |critM| |generalInfiniteProduct| |biRank|
- |leftTraceMatrix| |corrPoly| |fortranCompilerName| |changeThreshhold|
- |computeCycleLength| |lazyPrem| |decompose| |leadingExponent|
- |mapBivariate| |coordinate| |computeCycleEntry| |lambda|
- |palgintegrate| |s01eaf| |argumentList!| |any| EQ |whitePoint|
- |changeWeightLevel| |powers| |divisors| |zeroDimensional?| |po|
- |factorSquareFree| |s21bbf| |ocf2ocdf| |clearTheIFTable| |position|
- |init| |f04asf| |list?| |symbolTableOf| |HermiteIntegrate| |rational?|
- |pushNewContour| |d02gbf| |Hausdorff| |characteristicSerie|
- |rationalPoints| |lagrange| |radicalEigenvectors| |generalSqFr|
- |arbitrary| |char| |npcoef| |orthonormalBasis| |extractBottom!|
- |debug3D| |content| |generalLambert| |leftExtendedGcd| |parametric?|
- |wordsForStrongGenerators| |divide| |pseudoRemainder| |rischDEsys|
- |lllp| |legendreP| |backOldPos| |ScanFloatIgnoreSpaces|
- |univariatePolynomialsGcds| |algSplitSimple| |index| |rename!|
- |linear| |mainCoefficients| |symbolTable| |quoByVar| |normalElement|
- |findConstructor| |isOpen?| |writable?| |ran| |rdregime| |pile|
- |unitsColorDefault| |bandedJacobian| |BasicMethod| |getGoodPrime|
- |capacity| |iiperm| |polynomial| |interpret| |stoseInvertibleSet|
- |linearDependenceOverZ| |e02bef| |point| |f01qcf| |checkPrecision|
- |gcdPrimitive| |poisson| |f07aef| |splitLinear| |pair| |isTimes|
- |previous| |dictionary| |OMbindTCP| |split| |cLog| |aQuadratic|
- |number?| |localUnquote| |characteristic| |lo| |problemPoints|
- |fillPascalTriangle| |kind| |rowEchelonLocal| |leftRemainder|
- |wholeRadix| |value| |OMreadStr| |repSq| |getOperator| |incr| |series|
- |f01maf| |clikeUniv| |op| |showTheRoutinesTable| |nthr| |cCot|
- |continuedFraction| |euclideanGroebner| |curryRight| |measure|
- |permutationGroup| |stoseSquareFreePart| |particularSolution|
- |sortConstraints| |OMputFloat| |expextendedint| |setStatus|
- |basisOfNucleus| |OMgetBVar| |polygon?| |max| |cycleEntry| |ffactor|
- |complexEigenvalues| |partitions| |s18aff| |subQuasiComponent?|
- |readUInt8!| |drawComplexVectorField| |tableau| |ScanRoman|
- |subPolSet?| |completeSmith| |phiCoord| |OMReadError?| |min|
- |explicitlyEmpty?| |completeEval| |maxrow| |basisOfCentroid| |light|
- |LiePoly| |parametersOf| |rur| |transpose| F |regularRepresentation|
- |nilFactor| |varList| |pToHdmp| |multiEuclideanTree| |distribute|
- |wordInStrongGenerators| |medialSet| |eq?|
- |rightCharacteristicPolynomial| |elliptic| |zeroDimPrimary?| |length|
- |union| |rotate| |partialDenominators| |singular?| |Aleph|
- |normalDenom| |wreath| |replaceKthElement| |increase| |powerSum|
- |lfextlimint| |scripts| |supRittWu?| |script| |direction| |f04arf|
- |bivariateSLPEBR| |matrix| |reverseLex| RF2UTS |solve| |reorder|
- |copyInto!| |degree| |nthExponent| |tubeRadiusDefault| |comment|
- |compiledFunction| |resultantEuclidean| |fortranComplex| |cross|
- |coth2trigh| |SturmHabichtCoefficients| |setleft!| |setelt!|
- |doubleRank| |nthFactor| |close| |c06ekf| |closed?| |approxNthRoot|
- |coshIfCan| |wholePart| |insertRoot!| |untab| |readable?| |consnewpol|
- |tex| |stronglyReduce| |s13aaf| |rationalIfCan|
- |stoseInvertible?sqfreg| |enumerate| |hi| |chvar| |acosIfCan|
- |insertTop!| |colorFunction| |enterPointData| |printHeader| |display|
- |round| |compose| |OMputApp| |upDateBranches| |frst| |integer?|
- |littleEndian| |sinh2csch| |closedCurve?| |shiftRight|
- |parabolicCylindrical| |generalizedEigenvector| |numeric|
- |mergeDifference| |uniform| |infLex?| |iiacos| |ratDsolve|
- |leftDiscriminant| |id| |c06fuf| |removeSinhSq| |radical|
- |solveInField| |mainContent| |fill!| |singRicDE| |simpson|
- |monomRDEsys| |normDeriv2| |setrest!| |traverse| |axesColorDefault|
- |parabolic| |LagrangeInterpolation| |power!| |listOfLists|
- |OMUnknownSymbol?| |setleaves!| |c06fpf| |table| |cycleTail|
- |rootRadius| |integralMatrixAtInfinity| |prefixRagits|
- |diagonalProduct| |polyRicDE| |dark| |pdf2df| |nary?|
- |rectangularMatrix| |new| |back| |represents| |univcase| |input| |obj|
- |sumOfSquares| |evaluate| |firstNumer|
- |standardBasisOfCyclicSubmodule| |factorOfDegree| |xn| |search|
- |inverse| |algDsolve| |addMatch| |bringDown| |inconsistent?| |library|
- |radPoly| |outputGeneral| |e02baf| |epilogue| |cache| |connect|
- |clipBoolean| |plus| |isPlus| |ode| |qelt| |mathieu22| |computePowers|
- |imagj| |vector| |decrease| |mapDown!| |cPower| |member?|
- |conditionsForIdempotents| |qsetelt| |finiteBasis| |flagFactor|
- |choosemon| |invertibleSet| |d03edf| |abelianGroup|
- |rewriteSetByReducingWithParticularGenerators| |externalList|
- |rationalPoint?| |reducedSystem| |createGenericMatrix| |rightRank|
- |d01akf| |rightFactorCandidate| |xRange| |multiplyExponents|
- |leviCivitaSymbol| |logIfCan| |uniform01| |createPrimitiveNormalPoly|
- |updateStatus!| |semiSubResultantGcdEuclidean2| |factorFraction|
- |kroneckerDelta| |numberOfDivisors| |reducedContinuedFraction| |tanQ|
- |firstSubsetGray| |frobenius| |set| |binaryTournament| |hermiteH|
- |duplicates?| |hasTopPredicate?| |category| |fortranCharacter|
- |c06ecf| |isQuotient| |infiniteProduct| |genericLeftNorm| |nullary|
- |leftNorm| |linear?| |domain| |primitiveElement| |addPointLast|
- |dfRange| |e02gaf| |mainVariables| |uncouplingMatrices|
- |evaluateInverse| |LazardQuotient| |cAtan| |screenResolution3D|
- |package| |useNagFunctions| |lighting| |horizConcat| |f04atf|
- |tan2trig| |skewSFunction| |isOp| |diagonal| |setnext!| |setTex!|
- |generalizedContinuumHypothesisAssumed?| |matrixGcd| |cubic|
- |returnTypeOf| |cCsch| |checkRur| |trace2PowMod|
- |countRealRootsMultiple| |upperCase?| |merge| |getRef|
- |OMconnInDevice| |regime| |acotIfCan| |reducedQPowers| |outlineRender|
- |nextIrreduciblePoly| |pseudoDivide| |radicalOfLeftTraceForm|
- |appendPoint| |setLength!| |term| |stopTableInvSet!| |noKaratsuba|
- |rightTrace| |height| |cot2trig| |accuracyIF| |s14baf| |binaryTree|
- |OMputVariable| |jordanAlgebra?| |s17dgf| ~= |cAcosh|
- |possiblyNewVariety?| |datalist| |primextintfrac| |chainSubResultants|
- |f01rcf| |getDatabase| |deepExpand| |showRegion| |shuffle|
- |halfExtendedSubResultantGcd2| |coerce| |bfEntry| |insertBottom!|
- |iisin| |droot| |OMgetEndObject| |resetBadValues| |OMgetType| |queue|
- |mapMatrixIfCan| |lexTriangular| |construct| |repeatUntilLoop|
- |showTheIFTable| |e04fdf| |f04axf| |topPredicate|
- |currentCategoryFrame| |heap| |localIntegralBasis| |stop| |depth|
- |clipPointsDefault| |groebner?| |antiAssociative?| |graphs| |bat1|
- |isExpt| |permutation| |cycleElt| |mkPrim| |irreducibleRepresentation|
- |show| |mdeg| |outputAsTex| |extendedResultant| |diff| |f02agf|
- |shiftLeft| |normal01| |monicRightFactorIfCan| |makeCos| |modulus|
- |cyclic| |useEisensteinCriterion?| |putColorInfo| |positiveSolve|
- |controlPanel| |linkToFortran| |cSinh| |gderiv| |normalizeIfCan|
- |point?| |trace| |expressIdealMember| |basicSet| |build| |atoms|
- |rootOfIrreduciblePoly| |omError| |symbolIfCan| |removeSinSq| |iilog|
- |Ei| |digit?| |expr| |redPo| |rowEchelon| |fractionPart| |output|
- |s17dlf| |asinIfCan| |euclideanNormalForm| |packageCall| |var1Steps|
- |collectUpper| |fortranLinkerArgs| |interpolate| |lifting1| |multiset|
- |tail| |surface| |difference| |OMsend| |roughBase?| |dihedral|
- |iFTable| |expenseOfEvaluation| |binaryFunction| |true| |nextItem|
- |makeprod| |tab| |schwerpunkt| |antiCommutative?| |FormatArabic|
- |critB| |degreeSubResultantEuclidean| |lyndon| |patternVariable|
- |pointPlot| |graeffe| |cyclicSubmodule| |halfExtendedSubResultantGcd1|
- |genericLeftTraceForm| |dominantTerm| |position!| |unknown|
- |startTable!| |resultantReduitEuclidean| |zoom| |elem?| |stFunc1|
- |linearPart| |times!| |Gamma| |safeFloor| |OMgetEndBind| |variable|
- |setMaxPoints| |numberOfVariables| |cyclotomicDecomposition| |parent|
- |initializeGroupForWordProblem| |compound?| |toScale| |Si| |s19abf|
- |chebyshevU| |iterators| |hash| |iiacosh| |solveLinear| |rightDivide|
- |squareMatrix| |sinhIfCan| |ref| |alternative?| |graphStates|
- |integral?| |andOperands| |count| |sumOfDivisors| |OMgetEndAttr|
- |separateDegrees| |createRandomElement| |pushdown| |polynomialZeros|
- |groebnerIdeal| |primintfldpoly| |rangePascalTriangle|
- |triangularSystems| |universe| |coordinates| |setelt| |decimal|
- |besselI| |solve1| |edf2ef| |basisOfCenter| |f02axf| |rotatez|
- |readLine!| |readInt16!| |explicitEntries?| |weight| |polyred|
- |impliesOperands| |powerAssociative?| |reflect| |sup| |measure2Result|
- |inRadical?| |nthCoef| |moebiusMu| |rightGcd| |copy| |li| |subTriSet?|
- |sechIfCan| |linearDependence| |leftRank| |copy!| |unit?| |coerceS|
- |formula| |readUInt16!| |calcRanges| |OMlistCDs| |lazyGintegrate|
- |mkAnswer| |next| |normalise| |sizeLess?| |addiag| |edf2df|
- |quasiRegular| |doubleComplex?| |mathieu23| |expIfCan| |children|
- |aspFilename| |finite?| |totalGroebner| |f02fjf| |showAll?| |abs|
- |autoCoerce| |tanSum| |separant| |complexRoots| |totalLex|
- |branchPointAtInfinity?| |createNormalElement| |zag| |bits|
- |makeViewport2D| |options| |singularAtInfinity?| |getVariableOrder|
- |rationalPower| |fortran| |airyBi| |ParCondList| |fullPartialFraction|
- |printStatement| |isAbsolutelyIrreducible?| |moduloP| |cschIfCan|
- |numberOfHues| |submod| |degreeSubResultant| |irreducibleFactors|
- |nrows| |typeLists| |notelem| |extract!| |tensorProduct| |ideal|
- |s18acf| |basisOfMiddleNucleus| |ddFact| |ncols| |limitedint| |nor|
- |principal?| |absolutelyIrreducible?|
- |semiIndiceSubResultantEuclidean| |rename| |string| |jacobi|
- |OMmakeConn| |euclideanSize| |d01anf| |f01ref| |taylorRep|
- |setAdaptive3D| |toseSquareFreePart| |brillhartTrials| |powmod|
- |OMunhandledSymbol| |quote| |bag| |close!| |gramschmidt| |associates?|
- |att2Result| |expandPower| |modularFactor| |qqq| |convergents|
- |optpair| |plus!| |triangulate| |logical?| |coefChoose| |fixedPoints|
- |sec2cos| |identity| |binomThmExpt| |seriesToOutputForm| |e02ahf|
- |gcdcofact| |mkcomm| |solid?| |primitivePart!| NOT |tubePlot|
- |Vectorise| |c06gqf| |removeRedundantFactorsInContents|
- |moreAlgebraic?| |triangSolve| |lifting| |setButtonValue|
- |radicalEigenvalues| |stiffnessAndStabilityFactor| |tower| OR
- |minimumExponent| |OMgetVariable| |iitan| |contractSolve| |rootSplit|
- |qfactor| |removeRoughlyRedundantFactorsInContents| |s18aef|
- |pushuconst| |ricDsolve| AND |meshFun2Var| |mindegTerm| |nand|
- |taylorIfCan| |s19aaf| |contours| |chiSquare1| |lookup|
- |unrankImproperPartitions0| |approxSqrt| |karatsubaOnce| |eq| |iiatan|
- |addmod| |setchildren!| |integrate| |partition| |unvectorise| |log10|
- |mapSolve| |infieldint| |redmat| |gcdcofactprim| |leftDivide| |iter|
- |infieldIntegrate| |squareTop| |reduceBasisAtInfinity| |f01brf| |ipow|
- |operation| |zeroSetSplit| |genericPosition| |iCompose| |bitand|
- |condition| |padecf| |newSubProgram| |mapExponents| |leadingTerm|
- |OMUnknownCD?| |directory| |getCurve| |dequeue| |d01ajf| |leftMult|
- |complexNumeric| |power| |bitior| |pdct| |remove!| |alphabetic?|
- |graphState| |generate| |continue| |badNum| |relativeApprox| |blue|
- |monicDecomposeIfCan| |polyRDE| |rquo| |prinb| |cothIfCan| |cTanh|
- |tab1| |unravel| |kernels| |topFortranOutputStack| |fortranTypeOf|
- |s19acf| |ReduceOrder| |makeUnit| |SturmHabichtSequence| |makeSketch|
- |makeMulti| |incrementBy| |paraboloidal| |iiatanh| |s17adf|
- |univariate| |initials| |tRange| |companionBlocks| |fortranReal|
- |showClipRegion| |constDsolve| |removeSquaresIfCan| |expand| |exprex|
- |coHeight| |f02adf| |hasPredicate?| |binding| |readUInt32!|
- |tanintegrate| |OMencodingBinary| |morphism| |entries| |laguerreL|
- |filterWhile| |bottom!| |simpsono| |pointColor| |eigenMatrix| *
- |makeYoungTableau| |exp| |e01baf| |prem| |plenaryPower| |denomLODE|
- |and?| |filterUntil| |extendedIntegrate| |autoReduced?| |factor|
- |split!| |brillhartIrreducible?| |dmpToHdmp| |diophantineSystem|
- |less?| |createIrreduciblePoly| |setFormula!| |leftLcm| |select|
- |c06gsf| |gcdPolynomial| |dequeue!| |sqrt| |fortranLogical|
- |acscIfCan| |derivative| |ord| |mainValue| |augment| |extractIndex|
- |s17acf| |basisOfLeftNucleus| |symmetricPower| |mapUnivariateIfCan|
- |real| |sncndn| |sumOfKthPowerDivisors| |range| |style| |palgLODE0|
- |cCsc| |monicDivide| |exponents| |selectfirst| |cyclicEntries| |imag|
- |var1StepsDefault| |lowerCase!| |tubePointsDefault| |iifact|
- |definingPolynomial| |patternMatch| |points| |presuper|
- |directProduct| |inverseLaplace| |e04ucf| |generators| |leadingIndex|
- |pointLists| |OMgetString| |OMread| Y |factorAndSplit| |sort!|
- |s21bdf| |permanent| |getMultiplicationTable| |randomR| |curryLeft|
- |e01sef| |c06eaf| |seed| |interval| |numberOfComputedEntries| |root?|
- |knownInfBasis| |useEisensteinCriterion| |brace| |prologue|
- |OMputSymbol| |cotIfCan| |OMreceive| |deepestTail| |goodPoint|
- |padicallyExpand| |constantOpIfCan| |makeRecord| |btwFact| |compile|
- |fixedPoint| |OMputEndError| |destruct| SEGMENT |or?| |upperCase|
- |numberOfFactors| |constantLeft| |raisePolynomial|
- |linearlyDependentOverZ?| |startTableGcd!| |rightOne| |f01qdf|
- |deepestInitial| |LyndonCoordinates| |readIfCan!| |lazyEvaluate|
- |componentUpperBound| |iExquo| |rightLcm| |bumptab1| |null| |goto|
- |outputFixed| |parts| |lazyPquo| |s13adf| |complexForm| |rootsOf|
- |selectPDERoutines| |bigEndian| |connectTo| |coefficients| |not|
- |argumentListOf| |inverseIntegralMatrix| |allRootsOf|
- |SturmHabichtMultiple| |realSolve| |iicosh| |rightScalarTimes!|
- |rowEchLocal| |completeHermite| |rubiksGroup| |and| |factorial|
- |divisor| |monomial| |hostPlatform| |exponential| |replace| |iiexp|
- |recip| |getZechTable| |baseRDE| |resultant| |or|
- |functionIsFracPolynomial?| |hyperelliptic| |multivariate| |atom?|
- |subtractIfCan| |qroot| |exists?| |clearTable!| |cExp| |lquo|
- |eulerPhi| |xor| |any?| |f02bbf| |OMgetError| |variables|
- |exportedOperators| |orOperands| |reopen!| |ceiling|
- |stoseIntegralLastSubResultant| |overlap| |signature| |reduced?|
- |case| |intersect| |e04gcf| |generalTwoFactor| |orbit| |dihedralGroup|
- |infinityNorm| |resetVariableOrder| |irreducibleFactor|
- |genericRightDiscriminant| |generateIrredPoly| |Zero| |df2fi|
- |pmintegrate| |OMencodingUnknown| |rroot| |tan2cot| |cCos|
- |lazyIrreducibleFactors| |OMsetEncoding| |stopTable!| |mpsode| |One|
- |inc| |algint| |sin?| |lazyPseudoDivide| |exprHasLogarithmicWeights|
- |realRoots| |inverseColeman| |viewDefaults| |writeBytes!| |cosSinInfo|
- |nextSubsetGray| |compBound| |subNode?| |name| |makeViewport3D|
- |basis| |thetaCoord| |callForm?| |nthRoot| |bezoutMatrix|
- |reduceByQuasiMonic| |completeHensel| |f02aff| |body| |diagonals|
- |hostByteOrder| |taylor| |mapUp!| |setProperty!| |OMserve|
- |currentScope| |randomLC| |nonQsign| |cap| |univariatePolynomials|
- |property| |enqueue!| |tanh2trigh| |laurent| |charthRoot| |routines|
- |simplifyPower| |lastSubResultantEuclidean| |trim| |algebraic?|
- |imagi| |initial| |shellSort| |f01qef| |OMputInteger| |puiseux|
- |interpretString| |commonDenominator| |push!| |discriminant| |expPot|
- |primlimintfrac| |linearPolynomials| |elt| |expandLog| |e01saf|
- |addMatchRestricted| |leftQuotient| |minset| |top!| |binomial|
- |f02aaf| |stripCommentsAndBlanks| |integralRepresents| |nil|
- |infinite| |arbitraryExponent| |approximate| |complex|
- |shallowMutable| |canonical| |noetherian| |central|
- |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed|
- |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation|
- |unitsKnown| |canonicalUnitNormal| |multiplicativeValuation|
- |finiteAggregate| |shallowlyMutable| |commutative|) 
-\ No newline at end of file
+ |Record| |Union| |count| |equiv?| |ksec| |generalInfiniteProduct|
+ |d01aqf| |controlPanel| |eisensteinIrreducible?| |PollardSmallFactor|
+ |rootOf| |call| |s14aaf| |characteristic| |createRandomElement|
+ |axesColorDefault| |iomode| |ref| |enqueue!| |gbasis| |lexTriangular|
+ |simplifyPower| |extendedSubResultantGcd| |recolor| |maxRowIndex|
+ |mat| |overset?| |position| |eigenMatrix| |horizConcat| |e02adf|
+ |concat!| |bringDown| |beauzamyBound| |Beta| |leftTraceMatrix|
+ |multiset| |diagonal| |An| |fractRadix| |eof?| |sort!| |superHeight|
+ |d01fcf| |realZeros| |measure| |composites| |space| |times!|
+ |lineColorDefault| |stoseIntegralLastSubResultant| |sin?| |OMgetBVar|
+ |modTree| |central?| |monomRDEsys| |coefficient| |supRittWu?| |curry|
+ |unexpand| |setPosition| |intensity| |imports| |factorFraction|
+ |mapExpon| |UnVectorise| |zero| |oneDimensionalArray| |dimension|
+ |index| |minset| |cAcos| |bandedJacobian| |zeroVector| |imagk|
+ |makeSUP| |showClipRegion| |constant| |permanent|
+ |linearAssociatedLog| |setScreenResolution| |s17dlf| |c06gqf|
+ |fortranCarriageReturn| |binary| |separateFactors| |cyclicGroup| |And|
+ |iiatan| |qelt| |antiCommutative?| |linear?| |weights| |littleEndian|
+ |notOperand| |deepestInitial| |leftUnit| |leftRemainder| |Or|
+ |qsetelt| |integerIfCan| |polygamma| |pair| |setPrologue!|
+ |updateStatus!| |pow| |exponents| |OMgetType| |leftUnits| |s18aef|
+ |Not| |e02agf| |xRange| |factorials| |s15aef| |iisech| |s21bcf| |pop!|
+ |redpps| |recoverAfterFail| |ParCond| |value| |exportedOperators|
+ |yRange| |genericRightNorm| |s18def| |LiePoly| |/\\| |reduceLODE|
+ |level| |setAttributeButtonStep| |palglimint0| |tracePowMod| |f01brf|
+ |lo| |polCase| |zRange| ** |lflimitedint| |printTypes|
+ |commutativeEquality| |\\/| |rightRank| |screenResolution3D| |rename|
+ |constantIfCan| |removeIrreducibleRedundantFactors| |box|
+ |leftMinimalPolynomial| |map!| |laplace|
+ |semiDegreeSubResultantEuclidean| |collect| |dec| |s14abf| |double|
+ |computePowers| |e04naf| |regime| |viewDeltaYDefault| |incr| |unravel|
+ |qsetelt!| |squareFreeLexTriangular| |normalizedDivide|
+ |mainPrimitivePart| |read!| |ODESolve| |style| |squareTop| |hi| |low|
+ |strongGenerators| |lexGroebner| |principalIdeal| |Vectorise| |reify|
+ |e01saf| |anticoord| |monicCompleteDecompose| |subst|
+ |extendedEuclidean| |constantKernel| |postfix| |irreducibleFactors|
+ |intersect| |setColumn!| |ricDsolve| |cyclicEqual?|
+ |stripCommentsAndBlanks| |varList| |shallowCopy| |primintfldpoly|
+ |showRegion| |gensym| |leftDiscriminant| |cot2trig| |setProperty!|
+ |scaleRoots| |optpair| |mainVariables| |iiexp| |roughUnitIdeal?| |ran|
+ |copyInto!| |augment| |swapColumns!| |imagI|
+ |selectOptimizationRoutines| |subNodeOf?| |univcase|
+ |semicolonSeparate| |startStats!| |trigs| |roughSubIdeal?| |exists?|
+ |rightExactQuotient| |clipBoolean| |singRicDE| |key?| |makeGraphImage|
+ |mightHaveRoots| |c02aff| |extension| |declare!| |negative?|
+ |nextItem| |leftAlternative?| |sin2csc| |green| |binaryTree| |lquo|
+ |subQuasiComponent?| |lepol| |dfRange| |virtualDegree| |center|
+ |blankSeparate| |groebSolve| |objects| |leastMonomial|
+ |selectODEIVPRoutines| |transpose| |makeEq| |tValues| |fortranComplex|
+ |genericRightDiscriminant| |isPower| |HermiteIntegrate| |d02bbf|
+ |base| |shallowExpand| |att2Result| |genericPosition| |autoReduced?|
+ |leftRank| |quotientByP| |isOp| |Ci| |restorePrecision|
+ |permutationRepresentation| |implies| |d02gaf| |subHeight| |id|
+ |acothIfCan| |cyclicSubmodule| |c06gsf| |tanhIfCan| |complement|
+ |f07adf| |gderiv| |palgextint| |OMreadStr| |pdf2ef| |create3Space|
+ |replace| |LazardQuotient2| |iicsc| |iibinom| |bivariatePolynomials|
+ |bit?| |torsionIfCan| |table| |ptree| |lfextlimint|
+ |createLowComplexityTable| |fixedDivisor| |sup| |basisOfCenter|
+ |hMonic| |minColIndex| |segment| |singleFactorBound|
+ |internalDecompose| |new| |opeval| |pomopo!| |modifyPointData|
+ |selectPDERoutines| |flexibleArray| |leadingIdeal| |FormatRoman|
+ |search| |pointColor| |lieAdmissible?| |meshPar1Var| |parts| |OMread|
+ |cAsec| |s01eaf| |halfExtendedSubResultantGcd1| |OMgetEndObject|
+ |symbolTable| |splitDenominator| |goto| |e02dcf| |f01qdf|
+ |fixedPointExquo| |coerceP| |term| |monicDivide| |quadraticNorm|
+ |initTable!| |symmetricTensors| |computeCycleEntry| |largest| |vspace|
+ |clearCache| |pushFortranOutputStack| |integralBasis| |normal?|
+ |computeBasis| |symmetricDifference| |open?|
+ |subResultantGcdEuclidean| |karatsubaDivide| |arity| |check| |zeroOf|
+ |rischDE| |meshPar2Var| |airyAi| |popFortranOutputStack| |back|
+ |OMgetError| |LiePolyIfCan| |s14baf| |lowerCase!| |f02axf| |mr|
+ |getProperty| |erf| |pushuconst| |possiblyInfinite?| |mathieu22|
+ |endOfFile?| |isQuotient| |outputAsFortran| |linearAssociatedExp|
+ |max| |infinite?| |bernoulli| |previous| |e02dff| |extractIndex|
+ |f2st| |Is| |basisOfLeftAnnihilator| |pointData| |rightDiscriminant|
+ |resultantnaif| |lighting| |symmetric?| |kind| |makeMulti| |dflist|
+ |OMputBind| |whatInfinity| |prod| |unitVector| |clearTheSymbolTable|
+ |sign| |shift| |algebraicOf| |dilog| |symmetricProduct| |comp| |op|
+ |OMgetAttr| |clearDenominator| |degreeSubResultantEuclidean|
+ |getOrder| |s21bdf| |minus!| |f01rdf| |spherical| |addMatch| |sin|
+ |genericRightTraceForm| |d01amf| |chvar| |sample| |charClass|
+ |leftQuotient| |selectOrPolynomials| |minimumDegree| |cn| |edf2fi|
+ |abs| |cos| |hasTopPredicate?| |mapmult| |height| |cscIfCan|
+ |subMatrix| |setProperties| |OMgetEndAtp| |createPrimitiveNormalPoly|
+ ~= |isMult| |tan| |basisOfRightNucloid| |bsolve| |mainVariable?|
+ |divideIfCan| |lowerCase?| |cycleEntry| |nilFactor| |sPol|
+ |associates?| |coerce| |monomialIntegrate| |cot| |LyndonBasis|
+ |monicRightDivide| |tubeRadius| |algint| |bindings| |size?|
+ |exprToXXP| |s18aff| |construct| |tableau| |sec| |relationsIdeal|
+ |changeThreshhold| |resetAttributeButtons| |triangSolve|
+ |increasePrecision| |mapMatrixIfCan| |startTableGcd!| |writable?|
+ |range| |csc| |transcendenceDegree| |iFTable| |terms| |cCosh| |union|
+ |laguerre| |cExp| |head| |stopTableInvSet!| |symmetricSquare| |asin|
+ |associatedEquations| |adaptive3D?| |seriesSolve| |fill!|
+ |binaryTournament| |exprHasLogarithmicWeights| |initiallyReduced?|
+ |iicoth| |var1Steps| |precision| |acos| |isOpen?| |mainMonomials|
+ |list| |denominators| |bitLength| |tab1| |trace2PowMod| |linearPart|
+ |fractionPart| |hconcat| |atan| |addPointLast| |failed?| |car|
+ |enterPointData| |vector| |drawStyle| |setPredicates| |nthr| |csubst|
+ |cycleSplit!| |noLinearFactor?| |setLabelValue|
+ |numberOfComputedEntries| |acot| F2FG |cdr| |updatF| |differentiate|
+ |numFunEvals| |birth| |squareFree| |d02kef| |tail| |zeroDimPrimary?|
+ |expIfCan| |asec| |setDifference| |zCoord| |setClipValue| |distribute|
+ |prefixRagits| |getButtonValue| |setEmpty!| |nodeOf?|
+ |setIntersection| |acsc| |trunc| |chainSubResultants| |rowEchelon|
+ |sizeLess?| |plot| |rules| |karatsubaOnce| |extractBottom!|
+ |monomialIntPoly| |unknown| |light| |leftOne| |powerAssociative?|
+ |sinh| |setUnion| |colorDef| |infieldIntegrate| |simplifyExp| |sn|
+ |multinomial| |rightGcd| |removeRedundantFactorsInPols|
+ |sortConstraints| |e04dgf| |cosh| |createLowComplexityNormalBasis|
+ |apply| |balancedBinaryTree| |setPoly| |firstDenom| |problemPoints|
+ |coerceListOfPairs| |sinIfCan| |accuracyIF| |tanh|
+ |selectSumOfSquaresRoutines| |internalZeroSetSplit| |drawComplex|
+ |e04jaf| |algebraicCoefficients?| |schwerpunkt| |evenlambert|
+ |numberOfChildren| |bezoutDiscriminant| |coth| |unitsColorDefault|
+ |size| |hostByteOrder| |linears| |unprotectedRemoveRedundantFactors|
+ |leader| |s18dcf| |zeroMatrix| |hdmpToP| |uniform| |setelt| |nullary|
+ |sech| |const| |quote| |irreducibleRepresentation| |maxColIndex|
+ |dualSignature| |OMgetFloat| |rightQuotient| |bat1| |getlo| |f07fef|
+ |csch| |LazardQuotient| |stoseInvertible?reg| |getZechTable|
+ |medialSet| |sdf2lst| |pile| |build| |leadingExponent|
+ |fortranCharacter| |copy| |constantOpIfCan| |critT| |asinh|
+ |choosemon| |first| |atrapezoidal| |resultantEuclidean| |expintegrate|
+ |selectIntegrationRoutines| |findBinding| |column|
+ |clearFortranOutputStack| |idealiserMatrix| |acosh| |stopTableGcd!|
+ |rest| |kmax| |linearDependence| |inverseLaplace| |gcdcofact|
+ |removeSinhSq| |rootsOf| |any| |extendedIntegrate| ~ |f02ajf| |atanh|
+ |substitute| |completeHermite| |palgextint0| |commutator| |monomial?|
+ |f02fjf| |normalized?| |lazyPrem| |removeDuplicates| |infieldint|
+ |acoth| |rightRegularRepresentation| |transcendentalDecompose|
+ |cycleElt| |squareFreeFactors| |color| |rightAlternative?|
+ |nthExponent| |eigenvectors| |leaves| |open| |meatAxe| |asech|
+ |parabolic| |radicalEigenvector| |rightNorm| |fortranLiteral|
+ |quoByVar| |maximumExponent| |currentScope| |nthFractionalTerm|
+ |conjug| |symbol?| |viewport3D| |iicos| |hcrf| |maxPoints3D| |forLoop|
+ |e02akf| |bag| |multiple| |tube| |mkcomm| |getConstant| |OMgetBind|
+ |prem| |iicosh| |shellSort| |outputBinaryFile| |sizeMultiplication|
+ |createIrreduciblePoly| |applyQuote| |doubleComplex?| |weierstrass|
+ |sncndn| |power| |setScreenResolution3D| |leadingCoefficientRicDE|
+ |invertibleElseSplit?| |derivative| |primeFactor| |operations|
+ |e01bhf| |zoom| |getMatch| |internal?| |nil?| |curve| |OMUnknownCD?|
+ |symbolTableOf| |reverseLex| |isList| |doubleRank| |rotate!|
+ |mkIntegral| |specialTrigs| |ignore?| |coercePreimagesImages|
+ |removeZero| |headReduce| |even?| |ruleset| |symmetricGroup|
+ |stoseInternalLastSubResultant| |bezoutResultant| |tRange| |powers|
+ |insertMatch| |generalTwoFactor| |resetNew| |test|
+ |createGenericMatrix| |associative?| |zero?| |lazyPseudoRemainder|
+ |octon| |scanOneDimSubspaces| |rootSplit|
+ |solveLinearPolynomialEquationByRecursion| |lowerPolynomial|
+ |stirling1| |rotatey| |critBonD| |stosePrepareSubResAlgo| |tanNa|
+ |radicalOfLeftTraceForm| |eq| |basisOfLeftNucleus| |groebnerIdeal|
+ |univariate?| |generalizedEigenvectors| |discreteLog| |suchThat|
+ |cTan| |diff| |retractIfCan| |OMlistSymbols| |arguments|
+ |brillhartTrials| |iter| |iiatanh| |digamma| |simpleBounds?| |prefix|
+ |complex?| |split| |graphState| |d01ajf| |parametric?|
+ |numberOfVariables| |ideal| |ScanFloatIgnoreSpaces| |integrate|
+ |lazyPseudoDivide| |logGamma| |subNode?| |setMinPoints3D| |merge|
+ |rootProduct| |llprop| |printInfo!| |find| |readInt32!| |sec2cos| EQ
+ |scopes| |ode2| |product| |upDateBranches| |scripted?| |every?|
+ |subtractIfCan| |true| |point?| |changeMeasure| |push!| |weight|
+ |applyRules| |denomRicDE| |numerator| |decreasePrecision|
+ |fixPredicate| |insertBottom!| |halfExtendedSubResultantGcd2|
+ |totalLex| |jacobian| |nextSublist| |rubiksGroup| |length|
+ |aspFilename| |usingTable?| |processTemplate| |normalise|
+ |setprevious!| |pdf2df| |besselJ| |scripts| |newReduc| |selectfirst|
+ |cPower| |exponential1| |cTanh| |rationalPoint?| |exp| |gradient|
+ |depth| |factorOfDegree| |pol| |c06ebf| |taylorIfCan| |map| |radix|
+ |edf2efi| |setRow!| |writeLine!| |ramifiedAtInfinity?|
+ |pointColorPalette| |createPrimitiveElement| |nor|
+ |stoseInvertible?sqfreg| |complexRoots| |rightUnits| |karatsuba|
+ |OMgetString| |interactiveEnv| |difference| |isConnected?|
+ |alphanumeric| |d01anf| |trivialIdeal?| |qinterval| |quatern|
+ |integralDerivationMatrix| |interpretString| |setMinPoints|
+ |perfectNthRoot| |kovacic| |nullSpace| |matrixGcd| |alphabetic?|
+ |cycle| |jordanAlgebra?| |internalIntegrate0| |cycles| |outerProduct|
+ |ratDsolve| |indicialEquations| |diophantineSystem| |cLog| |redPo|
+ |extendedResultant| |close| |infinityNorm| |convert| |buildSyntax|
+ |mantissa| |mainCoefficients| |toroidal| |mapSolve| |duplicates?|
+ |linSolve| |bezoutMatrix| |minimalPolynomial| |unitNormal|
+ |readUInt32!| |listYoungTableaus| |checkForZero| |localUnquote|
+ |laplacian| |fixedPoints| |display| |functionIsContinuousAtEndPoints|
+ |cAcosh| |denominator| |in?| |expandTrigProducts| |ReduceOrder|
+ |numeric| |commaSeparate| |elliptic?| |mapdiv| |expenseOfEvaluationIF|
+ |quickSort| |d02bhf| |mergeFactors| |list?| |imaginary| |cCoth|
+ |radical| |sequence| |addmod| |sumOfDivisors| |d02gbf| |s17acf|
+ |child| |solid?| |makeFloatFunction| |getVariableOrder| |OMputEndAttr|
+ |getSyntaxFormsFromFile| |fTable| |nthRoot| |children| |paraboloidal|
+ |iiasinh| |iisec| |e02daf| |supersub| |monomRDE| |OMunhandledSymbol| F
+ |content| |hue| |checkPrecision| |pole?| |biRank| |tensorProduct|
+ |vark| |infix| |input| |setClosed| |setelt!| |high| |slash| |initials|
+ |overbar| |scalarTypeOf| |mirror| |generalizedEigenvector| |swap!|
+ |double?| |library| |fortranLiteralLine| |numberOfCycles| |presuper|
+ |polynomialZeros| |ParCondList| |uniform01| |testModulus|
+ |rowEchLocal| |s17dhf| |distFact| |rationalIfCan| |delete!|
+ |inHallBasis?| |expextendedint| |normalForm| |pToDmp| |iisqrt3|
+ |alternatingGroup| |permutation| |prinb| |simpsono| |ScanRoman|
+ |hspace| |showTheSymbolTable| |positiveRemainder| |primlimintfrac|
+ |cyclePartition| |inputBinaryFile| |rational?|
+ |basisOfCommutingElements| |someBasis| |hermite| |jordanAdmissible?|
+ |lfunc| |rewriteIdealWithRemainder| |taylorQuoByVar| |set|
+ |dihedralGroup| |setvalue!| |fibonacci| |systemCommand|
+ |constantToUnaryFunction| |curveColor| |squareFreePart|
+ |tryFunctionalDecomposition?| |log10| |euler| |primextendedint|
+ |minimumExponent| |symmetricRemainder| |setEpilogue!| |graphCurves|
+ |e01sff| |balancedFactorisation| |mapExponents| |basisOfLeftNucloid|
+ |normalDeriv| |belong?| |sum| |finiteBasis| |changeBase| |fintegrate|
+ |bitand| |readInt8!| |seed| |trailingCoefficient| |retractable?|
+ |basicSet| |acscIfCan| |shufflein| |ListOfTerms| |hostPlatform|
+ |property| |bitior| |taylorRep| |perspective| |multiplyCoefficients|
+ |normal| |changeWeightLevel| |LyndonWordsList| |e02ahf| |heapSort|
+ |musserTrials| |structuralConstants| |mindegTerm| |partialQuotients|
+ |viewPosDefault| |polyPart| |OMgetEndBVar|
+ |indiceSubResultantEuclidean| |OMreceive| |untab| |divergence|
+ |OMputObject| |enumerate| |complexNormalize| |scan|
+ |nextsubResultant2| |aCubic| |unmakeSUP| |outputGeneral| |clipSurface|
+ |OMputEndApp| |multiple?| |compactFraction| |units| |f02akf| |lp|
+ |midpoints| |subResultantChain| |pointLists| |cfirst|
+ |impliesOperands| |crushedSet| |setOfMinN| |quadratic|
+ |toseSquareFreePart| |bipolar| |inGroundField?| |heap| |constant?|
+ |sizePascalTriangle| |setlast!| |intcompBasis| |superscript|
+ |setMaxPoints| |euclideanSize| |rootBound| |s17dcf| |expintfldpoly|
+ |Frobenius| |maxrow| |scale| |factorList| |setAdaptive| |quartic|
+ |extendedint| |tab| |semiResultantEuclidean1| |leftScalarTimes!|
+ |chebyshevU| |semiResultantEuclidean2| |extensionDegree| |operators|
+ |gcdPrimitive| |viewWriteAvailable| |OMputApp| |tan2cot|
+ |validExponential| |key| |extract!| |code| |optimize|
+ |halfExtendedResultant1| |OMbindTCP| |e01baf| |inverseColeman|
+ |explicitEntries?| |nullary?| |s17ajf| |bivariateSLPEBR|
+ |quasiComponent| |fortranLogical| |putGraph| |startPolynomial|
+ |splitSquarefree| |primitive?| |increment| |odd?| |filename|
+ |partialFraction| |categoryFrame| |wronskianMatrix| |index?|
+ |outputList| |rspace| |continuedFraction| |matrixDimensions| |e01bgf|
+ |indiceSubResultant| Y |nthRootIfCan| |not?| |coefficients|
+ |rationalPoints| |f04qaf| |basisOfMiddleNucleus| |setRealSteps|
+ |innerSolve| |safetyMargin| UTS2UP |complexForm| |parse|
+ |antiAssociative?| |arg1| |pr2dmp| |toseInvertibleSet| |complexSolve|
+ |subresultantVector| |rightExtendedGcd| |critM| |reseed| |mathieu12|
+ |arg2| |cosIfCan| |leadingIndex| |exprex| |deriv| |reduceByQuasiMonic|
+ |stoseInvertibleSetsqfreg| |consnewpol| |create| |createThreeSpace|
+ |anfactor| |hex| |pseudoRemainder| |selectFiniteRoutines| |realSolve|
+ |leftFactorIfCan| |c05pbf| |redmat| |curve?| |innerSolve1|
+ |conditions| |domainOf| |fi2df| |OMputInteger| |enterInCache|
+ |reverse| |rationalApproximation| |adaptive?| |collectQuasiMonic|
+ |linearDependenceOverZ| |match| |printStats!| |normFactors|
+ |startTable!| |finiteBound| |sts2stst| |norm| |rightOne| |dmpToHdmp|
+ |shiftRoots| |packageCall| |getMultiplicationMatrix| |dmpToP|
+ |capacity| |getMeasure| |parents| |tanAn| |Aleph| |deepExpand|
+ |prindINFO| |iiGamma| |e02def| |f04arf| |result| |OMputError|
+ |subResultantGcd| |quoted?| |swap| |subscript| |s19acf| |nthCoef|
+ |getOperator| |simplifyLog| |dAndcExp| |readLine!| |decimal|
+ |whileLoop| |leftNorm| |rootNormalize| |showSummary|
+ |viewWriteDefault| |module| |outlineRender| |alternative?|
+ |screenResolution| |e04fdf| |preprocess| |externalList| |trapezoidal|
+ |imagJ| |innerint| |noncommutativeJordanAlgebra?| |iterationVar|
+ |showAllElements| |mapUnivariate| |weakBiRank| |bfKeys| |makeCrit| |e|
+ |showAttributes| |iipow| |normal01| |df2ef| |fglmIfCan|
+ |palginfieldint| |write| |outputArgs| |contours| |vectorise|
+ |mainMonomial| |exprHasWeightCosWXorSinWX| |raisePolynomial| |save|
+ |expt| |laguerreL| |name| |prologue| |makeFR| |computeInt| |ef2edf|
+ |leaf?| |graeffe| |cCsch| |nextPrime| |univariatePolynomial|
+ |yCoordinates| |body| |modularGcdPrimitive| |makeCos|
+ |groebnerFactorize| |setright!| |localReal?| |invertIfCan| |init|
+ |useEisensteinCriterion?| |traverse| |firstSubsetGray| |nothing|
+ |removeSinSq| |sparsityIF| |cAcsc| |lagrange| |socf2socdf|
+ |semiIndiceSubResultantEuclidean| |fortranTypeOf| |omError| |hasoln|
+ |leftRegularRepresentation| |bitTruth| |expandPower| |more?| |npcoef|
+ |firstNumer| |calcRanges| |identitySquareMatrix| |rowEchelonLocal|
+ |c06frf| |cSech| |purelyAlgebraicLeadingMonomial?| |bits| |elColumn2!|
+ |s17agf| |stoseInvertible?| |minPol| |mesh| |rightFactorCandidate|
+ |fortranDoubleComplex| |dark| |radicalSimplify| |saturate| |argument|
+ |currentCategoryFrame| |curryRight| |patternMatchTimes|
+ |univariatePolynomials| |setsubMatrix!| |evenInfiniteProduct|
+ |quasiMonic?| |iidprod| |subSet| |leftRankPolynomial| |s21bbf| |port|
+ |sinhIfCan| |splitLinear| |OMopenFile| |readIfCan!| |credPol| |width|
+ |algebraic?| |pmintegrate| |setTex!| |factorsOfCyclicGroupSize|
+ |tan2trig| |overlabel| |minPoints| |asecIfCan| |totolex| |pack!|
+ |OMreadFile| |printHeader| |lifting1| |t| |exquo| |closedCurve?|
+ |clip| |is?| |error| |gcdprim| |fortranInteger| |submod|
+ |nextsousResultant2| |stronglyReduced?| |div| |writeInt8!| BY
+ |mkAnswer| |coshIfCan| |OMclose| |assert| |identityMatrix| |revert|
+ |resultantEuclideannaif| |semiResultantEuclideannaif| |quo| |moduloP|
+ |inverseIntegralMatrix| |numberOfDivisors| |degreeSubResultant|
+ |numer| |phiCoord| |randomR| |invertibleSet| |composite| |keys|
+ |rightTraceMatrix| |semiDiscriminantEuclidean| |unit?| |denom|
+ |reopen!| |getOperands| |any?| |middle| |rem| |pointColorDefault|
+ |matrix| |pushup| |monicDecomposeIfCan|
+ |genericRightMinimalPolynomial| |nthFlag| |drawCurves| |convergents|
+ |padicFraction| |semiLastSubResultantEuclidean| |divisorCascade|
+ |realEigenvectors| |lazyIrreducibleFactors| |pi| |optional|
+ |charthRoot| |maxdeg| |countRealRoots| |radicalSolve| |sh| |tablePow|
+ |constantCoefficientRicDE| |infinity| |routines| |integralRepresents|
+ |removeRoughlyRedundantFactorsInContents| |loopPoints| |solveLinear|
+ |f02wef| |ceiling| |point| |conditionP| |asechIfCan| |categories| NOT
+ |f02abf| |distance| |cap| |thetaCoord| |listOfLists|
+ |internalSubPolSet?| |dictionary| |cSin| |acsch| OR |showTheFTable|
+ |pushdterm| |iiacsch| |tanintegrate| |collectUpper| |mapDown!|
+ |kernel| |setErrorBound| |root| AND |systemSizeIF| |bubbleSort!|
+ |figureUnits| |draw| |mix| |series| |cSinh| |dequeue!| |simpson|
+ |OMgetInteger| |comment| |compdegd| |OMputEndError| |pseudoDivide|
+ |compound?| |generator| |ramified?| |reducedQPowers| |palgRDE|
+ |f02aaf| |divideExponents| |basis| |or?| |yCoord| |monicLeftDivide|
+ |sech2cosh| |doubleFloatFormat| |nullity| SEGMENT |symbolIfCan|
+ |brillhartIrreducible?| |d03edf| |expr| |repeating?| |rootPower|
+ |relerror| |bernoulliB| |permutations| |minordet| |leadingBasisTerm|
+ |makeObject| |tubePlot| |min| |factorSquareFreeByRecursion|
+ |getExplanations| |minGbasis| |adaptive| |internalInfRittWu?|
+ |fullDisplay| |addPoint2| |totalfract| |f04jgf| |definingEquations|
+ |setrest!| |cyclic| |external?| |readInt16!| |polyRicDE| |sincos|
+ |d01gbf| |coef| |charpol| |generators| |row| |iisqrt2| |fprindINFO|
+ |currentEnv| |singularitiesOf| |factor1| |userOrdered?| |variable|
+ |arbitrary| |c06fqf| |setnext!| |factors| |stopMusserTrials|
+ |removeRoughlyRedundantFactorsInPol| |doublyTransitive?| |char|
+ |ranges| |null| |LyndonWordsList1| |primes| |leastPower| |iterators|
+ |basisOfRightAnnihilator| |linGenPos| |latex| |coleman|
+ |makeYoungTableau| |deref| * |rightRecip| |points|
+ |rewriteSetByReducingWithParticularGenerators| |not| |s17dgf|
+ |oddlambert| |cylindrical| |bombieriNorm| |leftPower| |polygon|
+ |changeNameToObjf| |plusInfinity| |skewSFunction|
+ |rightMinimalPolynomial| |clearTheIFTable| |scalarMatrix| |and|
+ |coerceS| |concat| |recur| |imagE| |direction| |zeroSetSplit|
+ |minusInfinity| |numberOfFractionalTerms| |ptFunc| |rroot| |makeprod|
+ |or| |ipow| |limitedint| |makeSin| |dot| |characteristicSerie|
+ |rotatez| |iicot| |Si| = |selectAndPolynomials| |signatureAst|
+ |readLineIfCan!| |extractSplittingLeaf| |xor| |limitedIntegrate|
+ |nextPartition| |primextintfrac| |evaluate| |integral| |f02bjf|
+ |cot2tan| |asinIfCan| |irreducible?| |drawComplexVectorField|
+ |iiacosh| |createMultiplicationMatrix| |integers| |case|
+ |quotedOperators| |float| |OMgetObject| |minPoints3D| |lazyPquo|
+ |reindex| |janko2| < |generalSqFr| |kroneckerDelta|
+ |variationOfParameters| |iiasech| |Zero| |rootSimp| |order|
+ |listConjugateBases| |exptMod| |rdHack1| |isobaric?|
+ |rangePascalTriangle| > |probablyZeroDim?| |outputFloating|
+ |removeSuperfluousCases| |blue| |One| |explicitlyEmpty?| |leftFactor|
+ |type| |cCsc| |s19abf| |topPredicate| |f04atf| |subCase?| |copies| <=
+ |lambert| |weighted| |getGraph| |sorted?| |mathieu11|
+ |euclideanNormalForm| |merge!| |diagonals| |numericIfCan|
+ |FormatArabic| |complexLimit| >= |fortranDouble| |LyndonCoordinates|
+ |hessian| |genericRightTrace| |plus!| |obj| |incrementKthElement|
+ |splitNodeOf!| |oddintegers| |moreAlgebraic?| |Gamma|
+ |lastSubResultantEuclidean| |associator| |firstUncouplingMatrix|
+ |argumentListOf| |f02aff| |writeBytes!| |cache| |chebyshevT|
+ |setValue!| |prime?| |tanQ| |qqq| |overlap| |iitan| |lyndon| |declare|
+ |region| |generalizedInverse| |vertConcat| |numberOfHues| |iprint|
+ |connectTo| |exponent| |positive?| + |definingInequation|
+ |useNagFunctions| |f04mcf| |sylvesterSequence| |elt| |alternating|
+ |SturmHabichtCoefficients| |colorFunction| |topFortranOutputStack|
+ |groebner?| |setImagSteps| |squareMatrix| |nextNormalPoly| -
+ |integralBasisAtInfinity| |e02bdf| |sinh2csch| GE
+ |discriminantEuclidean| |output| |nthExpon| |integralCoordinates|
+ |getMultiplicationTable| |shiftLeft| |lookup| |primitiveElement| /
+ |operator| |realElementary| |linkToFortran| |drawToScale|
+ |extractIfCan| |normalizedAssociate| GT |escape| |addBadValue|
+ |subresultantSequence| |d01apf| |interpolate| |viewport2D| |distdfact|
+ |makeTerm| |jacobi| |po| LE |dominantTerm| |df2fi| |rightMult|
+ |returnTypeOf| |ScanArabic| |getBadValues| |measure2Result| |c06ekf|
+ |torsion?| |wordInGenerators| |separate| LT |real?| |rst|
+ |complexElementary| |tanh2trigh| |string?| |UpTriBddDenomInv|
+ |semiSubResultantGcdEuclidean2| |approxSqrt| |tubePoints| |cCos|
+ |unitNormalize| |positiveSolve| |notelem| |fortranCompilerName|
+ |orOperands| |completeSmith| |henselFact| |pair?| |d01akf|
+ |alphabetic| |rightRankPolynomial| |possiblyNewVariety?|
+ |stoseInvertibleSet| |rootKerSimp| |se2rfi| |closedCurve| |crest|
+ |properties| |findCycle| |parametersOf| |digit?| |f02bbf|
+ |approximants| |push| |prinshINFO| |hasHi| |rootOfIrreduciblePoly|
+ |inRadical?| |eyeDistance| |axes| |s20acf| |translate| |rk4|
+ |coordinates| |e01bff| |interReduce| |primaryDecomp| |lexico|
+ |dihedral| |leftZero| |decompose| |diagonal?| |roman| |mainForm|
+ |messagePrint| |associatedSystem| |inf| |numberOfOperations|
+ |normDeriv2| |li| |getCode| |normalizeAtInfinity|
+ |complexNumericIfCan| |vedf2vef| |directSum| |c05adf| |leftLcm|
+ |pushucoef| |clikeUniv| |constDsolve| |toseLastSubResultant|
+ |homogeneous?| |f02awf| |ode| |createMultiplicationTable| |besselK|
+ |numberOfComposites| |powerSum| |fractionFreeGauss!|
+ |antisymmetricTensors| |copy!| |viewZoomDefault| |entry|
+ |zeroDimensional?| |OMencodingXML| |trim| |eulerPhi| |remainder|
+ |typeLists| |LowTriBddDenomInv| |eigenvalues| |aromberg|
+ |nextLatticePermutation| |lprop| |elliptic| |factorGroebnerBasis|
+ |monic?| |entries| |showArrayValues| |idealSimplify| |iitanh|
+ |leftExactQuotient| |addMatchRestricted| |nextSubsetGray| |component|
+ |collectUnder| |stoseInvertibleSetreg| |reduced?|
+ |leastAffineMultiple| |purelyTranscendental?| |bigEndian| |bumptab1|
+ |leftRecip| |lllp| |rk4a| |badValues| |clipWithRanges| |compBound|
+ |completeEchelonBasis| |multiEuclideanTree| |top!|
+ |combineFeatureCompatibility| |polygon?| |approxNthRoot| |imagj|
+ |initializeGroupForWordProblem| |acotIfCan| |derivationCoordinates|
+ |squareFreePrim| |transcendent?| |adjoint| |pointPlot|
+ |getPickedPoints| |rank| |printingInfo?| |factorSFBRlcUnit|
+ |totalGroebner| |e02gaf| |OMsupportsSymbol?| |dioSolve| |branchPoint?|
+ |term?| |minPoly| |leftDivide| |e02zaf| |s19adf|
+ |regularRepresentation| |power!| |stFuncN| |cross| |makeSketch|
+ |repeatUntilLoop| |coerceL| |s21baf| |argscript| |autoCoerce|
+ |outputForm| |defineProperty| |removeSuperfluousQuasiComponents|
+ |queue| |graphs| |palgLODE0| |removeDuplicates!| |readByte!| |c06fpf|
+ |twoFactor| |factorByRecursion| |laurentRep| |bright| |truncate|
+ |iiacos| |invmod| |headReduced?| |match?| |clearTable!|
+ |chineseRemainder| |corrPoly| |nonLinearPart| |top| |complexIntegrate|
+ |orbits| |primeFrobenius| |nsqfree| |solid|
+ |generalizedContinuumHypothesisAssumed| |frobenius| |divideIfCan!|
+ |pade| |function| |permutationGroup| |setLength!| |linear|
+ |eigenvector| |evaluateInverse| |errorKind| |viewDeltaXDefault|
+ |f01bsf| |expint| |alphanumeric?| |algintegrate| |uncouplingMatrices|
+ |OMgetEndApp| |entry?| |padicallyExpand| |numberOfImproperPartitions|
+ |stiffnessAndStabilityOfODEIF| |integer?| |listexp| |represents|
+ |readBytes!| |bothWays| |showTheRoutinesTable| |OMconnInDevice| |eval|
+ |edf2ef| |polynomial| |physicalLength!| |and?| |curveColorPalette|
+ |recip| |flexible?| |integralMatrixAtInfinity| |lists| |makeSeries|
+ |certainlySubVariety?| |numberOfPrimitivePoly| |wholeRadix|
+ |exprHasAlgebraicWeight| |newLine| |localAbs| |printStatement| |debug|
+ |factorAndSplit| |modifyPoint| |coordinate| |hasPredicate?|
+ |unknownEndian| |midpoint| |upperCase?| |findConstructor| |condition|
+ |OMsupportsCD?| D |rectangularMatrix| |readUInt8!| |f07aef|
+ |fixedPoint| |OMserve| |fortranReal| |repSq| |setProperties!| |parent|
+ |algSplitSimple| |internalAugment| |rightTrace| |flatten|
+ |withPredicates| |insertionSort!| |var1StepsDefault| |over|
+ |determinant| |generate| |nextPrimitivePoly| |indicialEquation|
+ |rangeIsFinite| |generic?| |rdregime| |selectPolynomials| |one?|
+ |endSubProgram| |totalDifferential| |multisect| |continue|
+ |semiResultantReduitEuclidean| |startTableInvSet!| |host|
+ |definingPolynomial| |semiSubResultantGcdEuclidean1| |d01asf| |imagi|
+ |limitPlus| |generateIrredPoly| |zag| |incrementBy| |predicate|
+ |integralMatrix| |stoseSquareFreePart| |viewPhiDefault|
+ |quasiRegular?| |supDimElseRittWu?| |thenBranch| |binomThmExpt|
+ |stFunc1| |edf2df| |partitions| |signature| |expand|
+ |createNormalElement| |quasiRegular| |showFortranOutputStack|
+ |shuffle| |solve| |goodnessOfFit| |randnum| |maxPoints|
+ |var2StepsDefault| |filterWhile| |critMTonD1| |complexEigenvalues|
+ |diagonalMatrix| |Lazard2| |mainContent| |lfextendedint|
+ |patternMatch| |c06fuf| |quasiAlgebraicSet| |setButtonValue| |subset?|
+ |filterUntil| |basisOfRightNucleus| |geometric| |atom?|
+ |compiledFunction| |mpsode| |jacobiIdentity?| |printCode| |lcm|
+ |refine| |contractSolve| |complexExpand| |psolve| |formula| |select|
+ |e02aef| |OMputBVar| |unparse| |d02ejf| |nextPrimitiveNormalPoly|
+ |resultantReduit| |bracket| |square?| |mergeDifference| |asimpson|
+ |print| |schema| |sechIfCan| |trueEqual| |mathieu24| |objectOf|
+ |numerators| |iflist2Result| |append| |isPlus| |s18adf| |roughBase?|
+ |dequeue| |critB| |resolve| |number?| |groebgen| |insertTop!|
+ |leadingTerm| |changeVar| |gcd| |resultant| |goodPoint|
+ |functionIsOscillatory| |diagonalProduct| |modularGcd| |delete|
+ |cos2sec| |element?| |OMputEndBVar| |prolateSpheroidal|
+ |genericLeftTrace| |backOldPos| |rightCharacteristicPolynomial|
+ |false| |parameters| |nrows| |associatorDependence| |UP2ifCan|
+ |toseInvertible?| |mindeg| |mainValue| |root?| |myDegree|
+ |showIntensityFunctions| |ncols| |e01daf| |denomLODE| |eulerE|
+ |OMputVariable| |SturmHabichtSequence| |signAround|
+ |createNormalPrimitivePoly| |prevPrime| |basisOfCentroid|
+ |OMputEndObject| |makeRecord| |iiasec| |unaryFunction| |compile|
+ |acschIfCan| |replaceKthElement| |infiniteProduct| |setCondition!|
+ |nthFactor| |cycleRagits| |sqfree| |setchildren!| |palgint|
+ |outputAsTex| |mapUnivariateIfCan|
+ |removeRoughlyRedundantFactorsInPols| |inverse|
+ |unrankImproperPartitions0| |deepCopy| |lex| |getProperties|
+ |irreducibleFactor| |#| |node| |retract| |fractRagits| |htrigs|
+ |generic| |rightUnit| |genus| |iCompose| |meshFun2Var| |rCoord| |cond|
+ |s17aef| |bumptab| |setref| |extend| |triangular?|
+ |useSingleFactorBound?| |gethi| |d02cjf| |numberOfComponents| |empty|
+ |divisors| |predicates| |callForm?| |primlimitedint| |unvectorise|
+ |setFormula!| |sylvesterMatrix| |duplicates| |hyperelliptic| |connect|
+ |setLegalFortranSourceExtensions| |equiv| |idealiser| |showAll?|
+ |setOrder| |increase| |datalist| |bumprow| |qualifier| |insert|
+ |purelyAlgebraic?| |e04ucf| |f04maf| |option?| |cyclotomic|
+ |primintegrate| |binomial| |cAtanh| |hclf| |e01bef| |BumInSepFFE|
+ |rationalPower| |normalElement| |antisymmetric?| |setTopPredicate|
+ |explicitlyFinite?| |hexDigit| |gramschmidt| |genericLeftNorm| |node?|
+ |groebner| |repeating| |plus| |makeop| |write!| |rightRemainder|
+ |OMconnOutDevice| |aQuartic| |functionIsFracPolynomial?| |fracPart|
+ |elem?| |rightLcm| |e02bbf| |resetBadValues| |interval| |presub|
+ |cyclotomicDecomposition| |numberOfIrreduciblePoly| |inc| |frst|
+ |patternVariable| |bipolarCylindrical| |df2mf| |identification|
+ |algDsolve| |integralLastSubResultant| |listOfMonoms| |subspace|
+ |expPot| |ratpart| |atoms| |pToHdmp| |noKaratsuba| |eq?|
+ |quadraticForm| |removeZeroes| |ode1| |minimize| |OMputString|
+ |bandedHessian| |remove!| |solveRetract| |part?| |flagFactor|
+ |ellipticCylindrical| |btwFact| |genericLeftDiscriminant| |times|
+ |acosIfCan| |cyclicParents| |stiffnessAndStabilityFactor| |exprToUPS|
+ |nary?| |perfectNthPower?| |infLex?| |writeUInt8!| |mapBivariate|
+ |rewriteIdealWithHeadRemainder| |graphImage| |explimitedint|
+ |ip4Address| |mainExpression| |setleaves!| |float?| |initial|
+ |stoseLastSubResultant| |equality| |RittWuCompare| |f02xef|
+ |complexEigenvectors| |tryFunctionalDecomposition| |lifting|
+ |partialNumerators| |ffactor| |shrinkable| |f01mcf| |insert!| |log2|
+ |rur| |LagrangeInterpolation| |rotate| |pastel| |conjugates|
+ |conditionsForIdempotents| |bitCoef| |unary?| |solveInField|
+ |solveLinearPolynomialEquationByFractions| |binding| |identity|
+ |e04mbf| |headAst| |asinhIfCan| |left| |monom| |appendPoint|
+ |intChoose| |debug3D| |iteratedInitials| |multiEuclidean| |universe|
+ |numericalIntegration| |OMgetAtp| |rational| |conjugate| |right|
+ |useSingleFactorBound| |wholeRagits| |OMgetApp| |tubeRadiusDefault|
+ |nonSingularModel| |sumOfKthPowerDivisors| |splitConstant| |nodes|
+ |rewriteIdealWithQuasiMonicGenerators| |log| |addiag| |rule| |d01gaf|
+ |s20adf| |makeResult| |subTriSet?| |partition| |principalAncestors|
+ |mesh?| |d03eef| |f04asf| |common| |primPartElseUnitCanonical!|
+ |contains?| |hermiteH| |fullPartialFraction| |bounds| |yellow|
+ |rename!| |expressIdealMember| |magnitude| |returns| |companionBlocks|
+ |matrixConcat3D| |minrank| |dmp2rfi| |makingStats?| |iiacot| |solveid|
+ |conical| |maxrank| |baseRDE| |deepestTail| |lift| |optAttributes|
+ |nativeModuleExtension| |listBranches| |getCurve| |ord| |operation|
+ |cothIfCan| |f02adf| |finite?| |exp1| |initiallyReduce| |reduce|
+ |branchPointAtInfinity?| |lfintegrate| |integerBound| |realRoots|
+ |freeOf?| |isAbsolutelyIrreducible?| |OMputFloat| |coth2tanh|
+ |complexZeros| |plenaryPower| |palgRDE0| |explogs2trigs|
+ |GospersMethod| |countRealRootsMultiple| RF2UTS |extractProperty|
+ |digit| |cyclicEntries| |leftCharacteristicPolynomial|
+ |removeConstantTerm| |f01qcf| |prepareSubResAlgo| |character?|
+ |reducedDiscriminant| |extractTop!| |whitePoint| |deleteProperty!|
+ |legendreP| |getRef| |e02bef| |powmod| |cAsin| |insertRoot!|
+ |symmetricPower| |roughEqualIdeals?| |options|
+ |wordInStrongGenerators| |variable?| |badNum| |mvar| |sort|
+ |radicalEigenvalues| |OMputAtp| |lowerCase| |s17adf|
+ |univariatePolynomialsGcds| |dom| |dimensionsOf| |tanh2coth|
+ |HenselLift| |doubleDisc| |antiCommutator| |outputAsScript|
+ |andOperands| |powern| |extractClosed| |less?| |cycleLength|
+ |substring?| |d01bbf| |halfExtendedResultant2| |e02bcf| |elements|
+ |symbol| |nlde| |setleft!| |Ei| |wreath| |linearMatrix| |close!|
+ |string| |mapUp!| |setAdaptive3D| |iiacsc| |invmultisect| |expression|
+ |cyclic?| |rightScalarTimes!| |divide|
+ |dimensionOfIrreducibleRepresentation| |cAcot| |radicalRoots|
+ |separateDegrees| |suffix?| |highCommonTerms| |OMgetEndBind|
+ |principal?| |random| |exactQuotient!| |integer| |failed| |polyred|
+ |algebraicDecompose| |sub| |stopTable!| |tableForDiscreteLogarithm|
+ |Nul| |iisinh| |pascalTriangle| |OMsend| |tanIfCan| |position!|
+ |OMputEndBind| |reducedSystem| |isExpt| |makeUnit| |title| |prefix?|
+ |assign| |cAtan| |closeComponent| |red| |rootDirectory|
+ |outputMeasure| |redPol| |iifact| |fillPascalTriangle| |c06ecf|
+ |reset| |f04mbf| |byteBuffer| |updatD| |oblateSpheroidal| |mkPrim|
+ |byte| |solve1| |elRow2!| |randomLC| |orbit| |xn|
+ |lazyPremWithDefault| |lyndon?| |airyBi| |leftMult| |pdct| |tree|
+ |iiabs| |reverse!| |morphism| |cCot| |cosh2sech| |showTheIFTable|
+ |reciprocalPolynomial| |closed?| |movedPoints| |mdeg| |coefChoose|
+ |label| |OMcloseConn| |outputSpacing| |selectNonFiniteRoutines|
+ |prinpolINFO| |decrease| |extractPoint| |remove| |expandLog|
+ |getIdentifier| |selectMultiDimensionalRoutines| |int|
+ |parabolicCylindrical| |df2st| |leftTrace| |s18acf|
+ |numericalOptimization| |poisson| |stirling2| |maxIndex| |bfEntry|
+ |pointSizeDefault| |setProperty| |absolutelyIrreducible?|
+ |exteriorDifferential| |primPartElseUnitCanonical| |palgLODE| |infix?|
+ |f01rcf| |exactQuotient| |newSubProgram| |last| |complementaryBasis|
+ |besselY| |mappingAst| |constantLeft| |radPoly| |getStream|
+ |aQuadratic| |mask| |assoc| |OMputAttr| |perfectSquare?|
+ |solveLinearlyOverQ| |rightZero| |integral?| |secIfCan| |returnType!|
+ |safeCeiling| |s13aaf| |exprToGenUPS| |linearlyDependentOverZ?|
+ |seriesToOutputForm| |qroot| |OMopenString| |viewThetaDefault| |stop|
+ |monomials| |univariateSolve| |inrootof| |componentUpperBound|
+ |factorial| |wrregime| |trigs2explogs| |sturmSequence| |rombergo|
+ |epilogue| |readUInt16!| |ScanFloatIgnoreSpacesIfCan|
+ |polarCoordinates| |f01qef| |differentialVariables| |constructor|
+ |pushNewContour| |setFieldInfo| |s19aaf| |pureLex| |logIfCan|
+ |rischNormalize| |writeByte!| |algebraicSort| |lSpaceBasis|
+ |interpret| |c06eaf| |stack| |rootRadius| |generalPosition|
+ |youngGroup| |representationType| |reduction| |reducedForm| |option|
+ |hasSolution?| |harmonic| |diag| |singularAtInfinity?| |elementary|
+ |separant| |f07fdf| |OMmakeConn| |tower| |commonDenominator| |s17aff|
+ |factorSquareFree| |neglist| |f01ref| |primitivePart| |SFunction|
+ |prime| |satisfy?| |elRow1!| |newTypeLists| |intermediateResultsIF|
+ |inverseIntegralMatrixAtInfinity| |qfactor| |f02aef| |csch2sinh|
+ |coerceImages| |rationalFunction| |makeViewport3D| |dim|
+ |resetVariableOrder| |discriminant| |degreePartition| |OMwrite|
+ |hypergeometric0F1| |delay| |bytes| |bottom!| |getDatabase| |compose|
+ |logical?| |contract| |droot| |cAcsch| |lastSubResultantElseSplit|
+ |rquo| |shade| |singular?| |rk4f| |decomposeFunc| |factorPolynomial|
+ |rightTrim| |removeRedundantFactors| |printInfo| |rootPoly| |zeroDim?|
+ |inputOutputBinaryFile| GF2FG |cAsinh| |makeVariable|
+ |createNormalPoly| |complexNumeric| |xCoord| |leftTrim|
+ |OMgetEndError| |equation| |d03faf| |branchIfCan| |f2df|
+ |SturmHabichtMultiple| |ratDenom| |safeFloor| |pleskenSplit|
+ |binaryFunction| |normalize| |leftExtendedGcd| |leviCivitaSymbol|
+ |c02agf| |basisOfNucleus| |cup| |ldf2lst| |s13acf| |changeName|
+ |kernels| |lazyGintegrate| |cotIfCan| |member?| |e02ajf|
+ |removeSquaresIfCan| |constantRight| |rewriteSetWithReduction| |null?|
+ |exponential| |readable?| |solveLinearPolynomialEquation| |univariate|
+ |wordsForStrongGenerators| |lastSubResultant| |createPrimitivePoly|
+ |getGoodPrime| |monicModulo| |KrullNumber| |rotatex| |cSec|
+ |numberOfNormalPoly| |typeList| |subResultantsChain|
+ |factorSquareFreePolynomial| |front| |clipPointsDefault| |iExquo|
+ |pmComplexintegrate| |pushdown| |unitCanonical| |bat|
+ |setVariableOrder| |genericLeftMinimalPolynomial| |leftGcd| |f02agf|
+ |exponentialOrder| |transform| |twist| |viewSizeDefault| |factor|
+ |inR?| |varselect| |unit| |zeroDimPrime?| |primitivePart!|
+ |monicRightFactorIfCan| |critMonD1| |internalIntegrate| |sqrt|
+ |s17ahf| |pattern| |iiacoth| |viewpoint| |cubic| |iidsum| |mainKernel|
+ |floor| |palglimint| |c06gcf| |real| |second| |ridHack1| |nextColeman|
+ |symFunc| |comparison| |directory| |qPot| |lyndonIfCan| |B1solve|
+ |imag| |OMconnectTCP| |surface| |third| |iilog| |mapCoef|
+ |useEisensteinCriterion| |integralAtInfinity?| |swapRows!| |iiasin|
+ |padecf| |directProduct| |plotPolar| |atanhIfCan| |palgint0| |aLinear|
+ |ratPoly| |infRittWu?| LODO2FUN |clipParametric| |s13adf|
+ |computeCycleLength| |complete| |normalDenom| |message| |f04faf|
+ |sequences| |polar| |standardBasisOfCyclicSubmodule| |iisin|
+ |reduceBasisAtInfinity| |brace| |countable?| |numberOfMonomials|
+ |stronglyReduce| |select!| |oddInfiniteProduct| |OMgetEndAttr|
+ |internalSubQuasiComponent?| |numberOfFactors| |destruct|
+ |mainSquareFreePart| |lfinfieldint| |numFunEvals3D| |nil| |rightPower|
+ |boundOfCauchy| |Lazard| |has?| |particularSolution| |OMencodingSGML|
+ |mainDefiningPolynomial| |empty?| |hitherPlane| |void|
+ |shanksDiscLogAlgorithm| |factorsOfDegree| |coHeight| |completeHensel|
+ |generalLambert| |quotient| |modularFactor| |OMUnknownSymbol?|
+ |quadratic?| |checkRur| |showTypeInOutput| |currentSubProgram|
+ |e02baf| |optional?| |divisor| |characteristicPolynomial| |errorInfo|
+ |status| |setStatus| |approximate| |slex|
+ |generalizedContinuumHypothesisAssumed?| |setMaxPoints3D| |cons|
+ |paren| |removeCosSq| |dimensions| |monomial| |traceMatrix| |complex|
+ |listRepresentation| |rowEch| |wholePart| |cardinality|
+ |leadingSupport| |split!| |atanIfCan| |graphStates| |multivariate|
+ |logpart| |showScalarValues| |smith| |baseRDEsys| |maxint|
+ |partialDenominators| |linearPolynomials| |e02ddf| |upperCase!|
+ |variables| |pseudoQuotient| |s17def| |sinhcosh| |sturmVariationsOf|
+ |createZechTable| |moebiusMu| |summation| |intPatternMatch|
+ |completeEval| |linearAssociatedOrder| |components| |normInvertible?|
+ |legendre| |internalLastSubResultant| |next| |pquo| |argumentList!|
+ |var2Steps| |f01maf| |d02raf| |fmecg| |exQuo| |inconsistent?|
+ |extendIfCan| |froot| |nand| |triangularSystems| |curryLeft| |fortran|
+ |block| |indices| |lazy?| |sqfrFactor| |areEquivalent?|
+ |headRemainder| |ldf2vmf| |nonQsign| |multMonom| |hdmpToDmp| FG2F
+ |source| |besselI| |lazyEvaluate| |trapezoidalo| |e01sef| |just|
+ |expenseOfEvaluation| |e01sbf| |triangulate| |deleteRoutine!| |taylor|
+ |s17akf| |binarySearchTree| |subPolSet?| |coord| |minRowIndex|
+ |equivOperands| |setfirst!| |iroot| |ddFact| |laurent| |isTimes|
+ |addPoint| |laurentIfCan| |sayLength| |quasiMonicPolynomials|
+ |critpOrder| |round| |limit| |OMputSymbol| |puiseux|
+ |loadNativeModule| |shiftRight| |zeroSquareMatrix| |BasicMethod|
+ |SturmHabicht| |lhs| |orthonormalBasis| |minIndex| |selectsecond|
+ |cartesian| |upperCase| |mathieu23| |OMencodingBinary|
+ |removeRedundantFactorsInContents| |lazyPseudoQuotient| |rhs| |dn|
+ |stFunc2| |physicalLength| |f04adf| |target| |RemainderList| |inv|
+ |reorder| |zeroSetSplitIntoTriangularSystems| |lieAlgebra?|
+ |invertible?| |child?| |cAsech| |reflect| |e04ycf| |parseString|
+ |c06gbf| |ground?| |implies?| |Hausdorff| |reducedContinuedFraction|
+ |rightFactorIfCan| |toScale| |mainVariable| |nextIrreduciblePoly|
+ |testDim| |iiperm| |genericLeftTraceForm| |ground| |category|
+ |sumOfSquares| |realEigenvalues| |polyRDE| |cRationalPower| |zerosOf|
+ |OMgetVariable| |totalDegree| |moduleSum| |viewDefaults|
+ |leadingMonomial| |domain| |multiplyExponents| |OMsetEncoding|
+ |squareFreePolynomial| |s15adf| |sumSquares| |delta|
+ |linearlyDependent?| |lllip| |inspect| |digits| |leadingCoefficient|
+ |package| |f04axf| |knownInfBasis| |csc2sin| |rk4qc| |e04gcf| |show|
+ |d01alf| |simplify| |euclideanGroebner| |cyclicCopy| |ravel|
+ |primitiveMonomials| |mainCharacterization| |nextNormalPrimitivePoly|
+ |chiSquare1| |makeViewport2D| |imagK| |commutative?| |OMgetSymbol|
+ |perfectSqrt| |cosSinInfo| |reshape| |reductum| |members|
+ |gcdcofactprim| |tubePointsDefault| |lintgcd| |trace| |resize|
+ |rischDEsys| |move| |arrayStack| |romberg| |characteristicSet|
+ |cyclotomicFactorization| |allRootsOf| |localIntegralBasis|
+ |elseBranch| |OMlistCDs| |removeCoshSq| |constantOperator| |iicsch|
+ |gcdPolynomial| |mulmod| |cAcoth| |subscriptedVariables| |say|
+ |degree| |rarrow| |resultantReduitEuclidean| |OMputEndAtp|
+ |prepareDecompose| |chiSquare| |modulus| |lazyResidueClass|
+ |roughBasicSet| |setStatus!| |ocf2ocdf| |relativeApprox|
+ |putColorInfo| |lazyIntegrate| |script| |OMParseError?| |rightDivide|
+ |PDESolve| |innerEigenvectors| |lambda| |tanSum| |clearTheFTable|
+ |normalizeIfCan| |OMReadError?| |coth2trigh| |update| |cschIfCan|
+ |acoshIfCan| UP2UTS |radicalEigenvectors| |mapGen| |moebius|
+ |OMencodingUnknown| |c05nbf| |vconcat| |super| |factorset|
+ |fortranLinkerArgs| |unrankImproperPartitions1| |algebraicVariables|
+ |hexDigit?| |hash| |cycleTail| |abelianGroup| |listLoops|
+ |indicialEquationAtInfinity| |bivariate?| |outputFixed| |tex|
+ |palgintegrate| |lazyVariations| |doubleResultant| |nil| |infinite|
+ |arbitraryExponent| |approximate| |complex| |shallowMutable|
+ |canonical| |noetherian| |central| |partiallyOrderedSet|
+ |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors|
+ |rightUnitary| |leftUnitary| |additiveValuation| |unitsKnown|
+ |canonicalUnitNormal| |multiplicativeValuation| |finiteAggregate|
+ |shallowlyMutable| |commutative|) 
+\ No newline at end of file
diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase
index f0478176..d0f83dcb 100644
--- a/src/share/algebra/interp.daase
+++ b/src/share/algebra/interp.daase
@@ -1,5296 +1,5296 @@
 
-(3200379 . 3450528909)       
-((-1562 (((-112) (-1 (-112) |#2| |#2|) $) 85) (((-112) $) NIL)) (-4194 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-3868 ((|#2| $ (-564) |#2|) NIL) ((|#2| $ (-1226 (-564)) |#2|) 43)) (-1651 (($ $) 79)) (-1728 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 51) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 49) ((|#2| (-1 |#2| |#2| |#2|) $) 48)) (-3303 (((-564) (-1 (-112) |#2|) $) 27) (((-564) |#2| $) NIL) (((-564) |#2| $ (-564)) 95)) (-4244 (((-641 |#2|) $) 13)) (-3678 (($ (-1 (-112) |#2| |#2|) $ $) 62) (($ $ $) NIL)) (-1988 (($ (-1 |#2| |#2|) $) 37)) (-2313 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 59)) (-2455 (($ |#2| $ (-564)) NIL) (($ $ $ (-564)) 65)) (-2905 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-2280 (((-112) (-1 (-112) |#2|) $) 23)) (-4382 ((|#2| $ (-564) |#2|) NIL) ((|#2| $ (-564)) NIL) (($ $ (-1226 (-564))) 64)) (-2090 (($ $ (-564)) 74) (($ $ (-1226 (-564))) 73)) (-3855 (((-768) (-1 (-112) |#2|) $) 34) (((-768) |#2| $) NIL)) (-3474 (($ $ $ (-564)) 67)) (-3890 (($ $) 66)) (-3725 (($ (-641 |#2|)) 71)) (-1865 (($ $ |#2|) NIL) (($ |#2| $) NIL) (($ $ $) 86) (($ (-641 $)) 84)) (-3714 (((-859) $) 91)) (-4289 (((-112) (-1 (-112) |#2|) $) 22)) (-1720 (((-112) $ $) 94)) (-1746 (((-112) $ $) 98))) 
-(((-18 |#1| |#2|) (-10 -8 (-15 -1720 ((-112) |#1| |#1|)) (-15 -3714 ((-859) |#1|)) (-15 -1746 ((-112) |#1| |#1|)) (-15 -4194 (|#1| |#1|)) (-15 -4194 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -1651 (|#1| |#1|)) (-15 -3474 (|#1| |#1| |#1| (-564))) (-15 -1562 ((-112) |#1|)) (-15 -3678 (|#1| |#1| |#1|)) (-15 -3303 ((-564) |#2| |#1| (-564))) (-15 -3303 ((-564) |#2| |#1|)) (-15 -3303 ((-564) (-1 (-112) |#2|) |#1|)) (-15 -1562 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -3678 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3868 (|#2| |#1| (-1226 (-564)) |#2|)) (-15 -2455 (|#1| |#1| |#1| (-564))) (-15 -2455 (|#1| |#2| |#1| (-564))) (-15 -2090 (|#1| |#1| (-1226 (-564)))) (-15 -2090 (|#1| |#1| (-564))) (-15 -4382 (|#1| |#1| (-1226 (-564)))) (-15 -2313 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -1865 (|#1| (-641 |#1|))) (-15 -1865 (|#1| |#1| |#1|)) (-15 -1865 (|#1| |#2| |#1|)) (-15 -1865 (|#1| |#1| |#2|)) (-15 -3725 (|#1| (-641 |#2|))) (-15 -2905 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -1728 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -1728 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -1728 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -4382 (|#2| |#1| (-564))) (-15 -4382 (|#2| |#1| (-564) |#2|)) (-15 -3868 (|#2| |#1| (-564) |#2|)) (-15 -3855 ((-768) |#2| |#1|)) (-15 -4244 ((-641 |#2|) |#1|)) (-15 -3855 ((-768) (-1 (-112) |#2|) |#1|)) (-15 -2280 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -4289 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -1988 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -2313 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -3890 (|#1| |#1|))) (-19 |#2|) (-1209)) (T -18)) 
+(3200555 . 3450896477)       
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 NIL 
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 (((-19 |#1|) (-140) (-1209)) (T -19)) 
 NIL 
 (-13 (-373 |t#1|) (-10 -7 (-6 -4413))) 
-(((-34) . T) ((-102) -4012 (|has| |#1| (-1094)) (|has| |#1| (-847))) ((-611 (-859)) -4012 (|has| |#1| (-1094)) (|has| |#1| (-847)) (|has| |#1| (-611 (-859)))) ((-151 |#1|) . T) ((-612 (-536)) |has| |#1| (-612 (-536))) ((-286 #0=(-564) |#1|) . T) ((-288 #0# |#1|) . T) ((-309 |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-373 |#1|) . T) ((-489 |#1|) . T) ((-602 #0# |#1|) . T) ((-514 |#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-647 |#1|) . T) ((-847) |has| |#1| (-847)) ((-1094) -4012 (|has| |#1| (-1094)) (|has| |#1| (-847))) ((-1209) . T)) 
-((-4281 (((-3 $ "failed") $ $) 12)) (-1828 (($ $) NIL) (($ $ $) 9)) (* (($ (-918) $) NIL) (($ (-768) $) 16) (($ (-564) $) 26))) 
-(((-20 |#1|) (-10 -8 (-15 * (|#1| (-564) |#1|)) (-15 -1828 (|#1| |#1| |#1|)) (-15 -1828 (|#1| |#1|)) (-15 -4281 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-768) |#1|)) (-15 * (|#1| (-918) |#1|))) (-21)) (T -20)) 
+(((-34) . T) ((-102) -2713 (|has| |#1| (-1094)) (|has| |#1| (-847))) ((-611 (-859)) -2713 (|has| |#1| (-1094)) (|has| |#1| (-847)) (|has| |#1| (-611 (-859)))) ((-151 |#1|) . T) ((-612 (-536)) |has| |#1| (-612 (-536))) ((-286 #0=(-564) |#1|) . T) ((-288 #0# |#1|) . T) ((-309 |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-373 |#1|) . T) ((-489 |#1|) . T) ((-602 #0# |#1|) . T) ((-514 |#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-647 |#1|) . T) ((-847) |has| |#1| (-847)) ((-1094) -2713 (|has| |#1| (-1094)) (|has| |#1| (-847))) ((-1209) . T)) 
+((-2071 (((-3 $ "failed") $ $) 12)) (-2970 (($ $) NIL) (($ $ $) 9)) (* (($ (-918) $) NIL) (($ (-768) $) 16) (($ (-564) $) 26))) 
+(((-20 |#1|) (-10 -8 (-15 * (|#1| (-564) |#1|)) (-15 -2970 (|#1| |#1| |#1|)) (-15 -2970 (|#1| |#1|)) (-15 -2071 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-768) |#1|)) (-15 * (|#1| (-918) |#1|))) (-21)) (T -20)) 
 NIL 
-(-10 -8 (-15 * (|#1| (-564) |#1|)) (-15 -1828 (|#1| |#1| |#1|)) (-15 -1828 (|#1| |#1|)) (-15 -4281 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-768) |#1|)) (-15 * (|#1| (-918) |#1|))) 
-((-3702 (((-112) $ $) 7)) (-1556 (((-112) $) 16)) (-4281 (((-3 $ "failed") $ $) 19)) (-3180 (($) 17 T CONST)) (-1868 (((-1152) $) 9)) (-3844 (((-1114) $) 10)) (-3714 (((-859) $) 11)) (-4312 (($) 18 T CONST)) (-1720 (((-112) $ $) 6)) (-1828 (($ $) 22) (($ $ $) 21)) (-1814 (($ $ $) 14)) (* (($ (-918) $) 13) (($ (-768) $) 15) (($ (-564) $) 20))) 
+(-10 -8 (-15 * (|#1| (-564) |#1|)) (-15 -2970 (|#1| |#1| |#1|)) (-15 -2970 (|#1| |#1|)) (-15 -2071 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-768) |#1|)) (-15 * (|#1| (-918) |#1|))) 
+((-1709 (((-112) $ $) 7)) (-2013 (((-112) $) 16)) (-2071 (((-3 $ "failed") $ $) 19)) (-1692 (($) 17 T CONST)) (-2811 (((-1152) $) 9)) (-4382 (((-1114) $) 10)) (-1721 (((-859) $) 11)) (-2885 (($) 18 T CONST)) (-2853 (((-112) $ $) 6)) (-2970 (($ $) 22) (($ $ $) 21)) (-2956 (($ $ $) 14)) (* (($ (-918) $) 13) (($ (-768) $) 15) (($ (-564) $) 20))) 
 (((-21) (-140)) (T -21)) 
-((-1828 (*1 *1 *1) (-4 *1 (-21))) (-1828 (*1 *1 *1 *1) (-4 *1 (-21))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-564))))) 
-(-13 (-131) (-10 -8 (-15 -1828 ($ $)) (-15 -1828 ($ $ $)) (-15 * ($ (-564) $)))) 
+((-2970 (*1 *1 *1) (-4 *1 (-21))) (-2970 (*1 *1 *1 *1) (-4 *1 (-21))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-564))))) 
+(-13 (-131) (-10 -8 (-15 -2970 ($ $)) (-15 -2970 ($ $ $)) (-15 * ($ (-564) $)))) 
 (((-23) . T) ((-25) . T) ((-102) . T) ((-131) . T) ((-611 (-859)) . T) ((-1094) . T)) 
-((-1556 (((-112) $) 10)) (-3180 (($) 15)) (* (($ (-918) $) 14) (($ (-768) $) 19))) 
-(((-22 |#1|) (-10 -8 (-15 * (|#1| (-768) |#1|)) (-15 -1556 ((-112) |#1|)) (-15 -3180 (|#1|)) (-15 * (|#1| (-918) |#1|))) (-23)) (T -22)) 
+((-2013 (((-112) $) 10)) (-1692 (($) 15)) (* (($ (-918) $) 14) (($ (-768) $) 19))) 
+(((-22 |#1|) (-10 -8 (-15 * (|#1| (-768) |#1|)) (-15 -2013 ((-112) |#1|)) (-15 -1692 (|#1|)) (-15 * (|#1| (-918) |#1|))) (-23)) (T -22)) 
 NIL 
-(-10 -8 (-15 * (|#1| (-768) |#1|)) (-15 -1556 ((-112) |#1|)) (-15 -3180 (|#1|)) (-15 * (|#1| (-918) |#1|))) 
-((-3702 (((-112) $ $) 7)) (-1556 (((-112) $) 16)) (-3180 (($) 17 T CONST)) (-1868 (((-1152) $) 9)) (-3844 (((-1114) $) 10)) (-3714 (((-859) $) 11)) (-4312 (($) 18 T CONST)) (-1720 (((-112) $ $) 6)) (-1814 (($ $ $) 14)) (* (($ (-918) $) 13) (($ (-768) $) 15))) 
+(-10 -8 (-15 * (|#1| (-768) |#1|)) (-15 -2013 ((-112) |#1|)) (-15 -1692 (|#1|)) (-15 * (|#1| (-918) |#1|))) 
+((-1709 (((-112) $ $) 7)) (-2013 (((-112) $) 16)) (-1692 (($) 17 T CONST)) (-2811 (((-1152) $) 9)) (-4382 (((-1114) $) 10)) (-1721 (((-859) $) 11)) (-2885 (($) 18 T CONST)) (-2853 (((-112) $ $) 6)) (-2956 (($ $ $) 14)) (* (($ (-918) $) 13) (($ (-768) $) 15))) 
 (((-23) (-140)) (T -23)) 
-((-4312 (*1 *1) (-4 *1 (-23))) (-3180 (*1 *1) (-4 *1 (-23))) (-1556 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-768))))) 
-(-13 (-25) (-10 -8 (-15 (-4312) ($) -2222) (-15 -3180 ($) -2222) (-15 -1556 ((-112) $)) (-15 * ($ (-768) $)))) 
+((-2885 (*1 *1) (-4 *1 (-23))) (-1692 (*1 *1) (-4 *1 (-23))) (-2013 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-768))))) 
+(-13 (-25) (-10 -8 (-15 (-2885) ($) -1367) (-15 -1692 ($) -1367) (-15 -2013 ((-112) $)) (-15 * ($ (-768) $)))) 
 (((-25) . T) ((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
 ((* (($ (-918) $) 10))) 
 (((-24 |#1|) (-10 -8 (-15 * (|#1| (-918) |#1|))) (-25)) (T -24)) 
 NIL 
 (-10 -8 (-15 * (|#1| (-918) |#1|))) 
-((-3702 (((-112) $ $) 7)) (-1868 (((-1152) $) 9)) (-3844 (((-1114) $) 10)) (-3714 (((-859) $) 11)) (-1720 (((-112) $ $) 6)) (-1814 (($ $ $) 14)) (* (($ (-918) $) 13))) 
+((-1709 (((-112) $ $) 7)) (-2811 (((-1152) $) 9)) (-4382 (((-1114) $) 10)) (-1721 (((-859) $) 11)) (-2853 (((-112) $ $) 6)) (-2956 (($ $ $) 14)) (* (($ (-918) $) 13))) 
 (((-25) (-140)) (T -25)) 
-((-1814 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-918))))) 
-(-13 (-1094) (-10 -8 (-15 -1814 ($ $ $)) (-15 * ($ (-918) $)))) 
+((-2956 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-918))))) 
+(-13 (-1094) (-10 -8 (-15 -2956 ($ $ $)) (-15 * ($ (-918) $)))) 
 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
-((-1701 (((-641 $) (-949 $)) 32) (((-641 $) (-1166 $)) 16) (((-641 $) (-1166 $) (-1170)) 20)) (-1815 (($ (-949 $)) 30) (($ (-1166 $)) 11) (($ (-1166 $) (-1170)) 60)) (-4248 (((-641 $) (-949 $)) 33) (((-641 $) (-1166 $)) 18) (((-641 $) (-1166 $) (-1170)) 19)) (-1544 (($ (-949 $)) 31) (($ (-1166 $)) 13) (($ (-1166 $) (-1170)) NIL))) 
-(((-26 |#1|) (-10 -8 (-15 -1701 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -1701 ((-641 |#1|) (-1166 |#1|))) (-15 -1701 ((-641 |#1|) (-949 |#1|))) (-15 -1815 (|#1| (-1166 |#1|) (-1170))) (-15 -1815 (|#1| (-1166 |#1|))) (-15 -1815 (|#1| (-949 |#1|))) (-15 -4248 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -4248 ((-641 |#1|) (-1166 |#1|))) (-15 -4248 ((-641 |#1|) (-949 |#1|))) (-15 -1544 (|#1| (-1166 |#1|) (-1170))) (-15 -1544 (|#1| (-1166 |#1|))) (-15 -1544 (|#1| (-949 |#1|)))) (-27)) (T -26)) 
+((-4275 (((-641 $) (-949 $)) 32) (((-641 $) (-1166 $)) 16) (((-641 $) (-1166 $) (-1170)) 20)) (-1629 (($ (-949 $)) 30) (($ (-1166 $)) 11) (($ (-1166 $) (-1170)) 60)) (-1914 (((-641 $) (-949 $)) 33) (((-641 $) (-1166 $)) 18) (((-641 $) (-1166 $) (-1170)) 19)) (-1300 (($ (-949 $)) 31) (($ (-1166 $)) 13) (($ (-1166 $) (-1170)) NIL))) 
+(((-26 |#1|) (-10 -8 (-15 -4275 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -4275 ((-641 |#1|) (-1166 |#1|))) (-15 -4275 ((-641 |#1|) (-949 |#1|))) (-15 -1629 (|#1| (-1166 |#1|) (-1170))) (-15 -1629 (|#1| (-1166 |#1|))) (-15 -1629 (|#1| (-949 |#1|))) (-15 -1914 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -1914 ((-641 |#1|) (-1166 |#1|))) (-15 -1914 ((-641 |#1|) (-949 |#1|))) (-15 -1300 (|#1| (-1166 |#1|) (-1170))) (-15 -1300 (|#1| (-1166 |#1|))) (-15 -1300 (|#1| (-949 |#1|)))) (-27)) (T -26)) 
 NIL 
-(-10 -8 (-15 -1701 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -1701 ((-641 |#1|) (-1166 |#1|))) (-15 -1701 ((-641 |#1|) (-949 |#1|))) (-15 -1815 (|#1| (-1166 |#1|) (-1170))) (-15 -1815 (|#1| (-1166 |#1|))) (-15 -1815 (|#1| (-949 |#1|))) (-15 -4248 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -4248 ((-641 |#1|) (-1166 |#1|))) (-15 -4248 ((-641 |#1|) (-949 |#1|))) (-15 -1544 (|#1| (-1166 |#1|) (-1170))) (-15 -1544 (|#1| (-1166 |#1|))) (-15 -1544 (|#1| (-949 |#1|)))) 
-((-3702 (((-112) $ $) 7)) (-1701 (((-641 $) (-949 $)) 81) (((-641 $) (-1166 $)) 80) (((-641 $) (-1166 $) (-1170)) 79)) (-1815 (($ (-949 $)) 84) (($ (-1166 $)) 83) (($ (-1166 $) (-1170)) 82)) (-1556 (((-112) $) 16)) (-2156 (((-2 (|:| -1425 $) (|:| -4399 $) (|:| |associate| $)) $) 42)) (-1582 (($ $) 41)) (-3897 (((-112) $) 39)) (-4281 (((-3 $ "failed") $ $) 19)) (-1328 (($ $) 74)) (-1592 (((-418 $) $) 73)) (-4152 (($ $) 93)) (-3907 (((-112) $ $) 60)) (-3180 (($) 17 T CONST)) (-4248 (((-641 $) (-949 $)) 87) (((-641 $) (-1166 $)) 86) (((-641 $) (-1166 $) (-1170)) 85)) (-1544 (($ (-949 $)) 90) (($ (-1166 $)) 89) (($ (-1166 $) (-1170)) 88)) (-1399 (($ $ $) 56)) (-4272 (((-3 $ "failed") $) 33)) (-1371 (($ $ $) 57)) (-2701 (((-2 (|:| -1817 (-641 $)) (|:| -1729 $)) (-641 $)) 52)) (-1926 (((-112) $) 72)) (-2340 (((-112) $) 31)) (-4342 (($ $ (-564)) 92)) (-1457 (((-3 (-641 $) "failed") (-641 $) $) 53)) (-2688 (($ $ $) 47) (($ (-641 $)) 46)) (-1868 (((-1152) $) 9)) (-1295 (($ $) 71)) (-3844 (((-1114) $) 10)) (-4150 (((-1166 $) (-1166 $) (-1166 $)) 45)) (-2727 (($ $ $) 49) (($ (-641 $)) 48)) (-4139 (((-418 $) $) 75)) (-1534 (((-2 (|:| |coef1| $) (|:| |coef2| $) (|:| -1729 $)) $ $) 55) (((-3 (-2 (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) 54)) (-1347 (((-3 $ "failed") $ $) 43)) (-3768 (((-3 (-641 $) "failed") (-641 $) $) 51)) (-3966 (((-768) $) 59)) (-3329 (((-2 (|:| -3031 $) (|:| -2550 $)) $ $) 58)) (-3714 (((-859) $) 11) (($ (-564)) 29) (($ $) 44) (($ (-407 (-564))) 67)) (-3379 (((-768)) 28 T CONST)) (-3979 (((-112) $ $) 40)) (-4312 (($) 18 T CONST)) (-4323 (($) 30 T CONST)) (-1720 (((-112) $ $) 6)) (-1841 (($ $ $) 66)) (-1828 (($ $) 22) (($ $ $) 21)) (-1814 (($ $ $) 14)) (** (($ $ (-918)) 25) (($ $ (-768)) 32) (($ $ (-564)) 70) (($ $ (-407 (-564))) 91)) (* (($ (-918) $) 13) (($ (-768) $) 15) (($ (-564) $) 20) (($ $ $) 24) (($ $ (-407 (-564))) 69) (($ (-407 (-564)) $) 68))) 
+(-10 -8 (-15 -4275 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -4275 ((-641 |#1|) (-1166 |#1|))) (-15 -4275 ((-641 |#1|) (-949 |#1|))) (-15 -1629 (|#1| (-1166 |#1|) (-1170))) (-15 -1629 (|#1| (-1166 |#1|))) (-15 -1629 (|#1| (-949 |#1|))) (-15 -1914 ((-641 |#1|) (-1166 |#1|) (-1170))) (-15 -1914 ((-641 |#1|) (-1166 |#1|))) (-15 -1914 ((-641 |#1|) (-949 |#1|))) (-15 -1300 (|#1| (-1166 |#1|) (-1170))) (-15 -1300 (|#1| (-1166 |#1|))) (-15 -1300 (|#1| (-949 |#1|)))) 
+((-1709 (((-112) $ $) 7)) (-4275 (((-641 $) (-949 $)) 81) (((-641 $) (-1166 $)) 80) (((-641 $) (-1166 $) (-1170)) 79)) (-1629 (($ (-949 $)) 84) (($ (-1166 $)) 83) (($ (-1166 $) (-1170)) 82)) (-2013 (((-112) $) 16)) (-2163 (((-2 (|:| -4023 $) (|:| -4399 $) (|:| |associate| $)) $) 42)) (-4010 (($ $) 41)) (-2662 (((-112) $) 39)) (-2071 (((-3 $ "failed") $ $) 19)) (-2275 (($ $) 74)) (-1798 (((-418 $) $) 73)) (-4029 (($ $) 93)) (-1817 (((-112) $ $) 60)) (-1692 (($) 17 T CONST)) (-1914 (((-641 $) (-949 $)) 87) (((-641 $) (-1166 $)) 86) (((-641 $) (-1166 $) (-1170)) 85)) (-1300 (($ (-949 $)) 90) (($ (-1166 $)) 89) (($ (-1166 $) (-1170)) 88)) (-2668 (($ $ $) 56)) (-3233 (((-3 $ "failed") $) 33)) (-2649 (($ $ $) 57)) (-1464 (((-2 (|:| -2784 (-641 $)) (|:| -2739 $)) (-641 $)) 52)) (-2941 (((-112) $) 72)) (-3282 (((-112) $) 31)) (-2201 (($ $ (-564)) 92)) (-3596 (((-3 (-641 $) "failed") (-641 $) $) 53)) (-3340 (($ $ $) 47) (($ (-641 $)) 46)) (-2811 (((-1152) $) 9)) (-4247 (($ $) 71)) (-4382 (((-1114) $) 10)) (-4336 (((-1166 $) (-1166 $) (-1166 $)) 45)) (-3377 (($ $ $) 49) (($ (-641 $)) 48)) (-4020 (((-418 $) $) 75)) (-1471 (((-2 (|:| |coef1| $) (|:| |coef2| $) (|:| -2739 $)) $ $) 55) (((-3 (-2 (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) 54)) (-2628 (((-3 $ "failed") $ $) 43)) (-3632 (((-3 (-641 $) "failed") (-641 $) $) 51)) (-2358 (((-768) $) 59)) (-3737 (((-2 (|:| -4110 $) (|:| -3101 $)) $ $) 58)) (-1721 (((-859) $) 11) (($ (-564)) 29) (($ $) 44) (($ (-407 (-564))) 67)) (-1303 (((-768)) 28 T CONST)) (-1720 (((-112) $ $) 40)) (-2885 (($) 18 T CONST)) (-2898 (($) 30 T CONST)) (-2853 (((-112) $ $) 6)) (-2983 (($ $ $) 66)) (-2970 (($ $) 22) (($ $ $) 21)) (-2956 (($ $ $) 14)) (** (($ $ (-918)) 25) (($ $ (-768)) 32) (($ $ (-564)) 70) (($ $ (-407 (-564))) 91)) (* (($ (-918) $) 13) (($ (-768) $) 15) (($ (-564) $) 20) (($ $ $) 24) (($ $ (-407 (-564))) 69) (($ (-407 (-564)) $) 68))) 
 (((-27) (-140)) (T -27)) 
-((-1544 (*1 *1 *2) (-12 (-5 *2 (-949 *1)) (-4 *1 (-27)))) (-1544 (*1 *1 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-27)))) (-1544 (*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-5 *3 (-1170)) (-4 *1 (-27)))) (-4248 (*1 *2 *3) (-12 (-5 *3 (-949 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-4248 (*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-4248 (*1 *2 *3 *4) (-12 (-5 *3 (-1166 *1)) (-5 *4 (-1170)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1815 (*1 *1 *2) (-12 (-5 *2 (-949 *1)) (-4 *1 (-27)))) (-1815 (*1 *1 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-27)))) (-1815 (*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-5 *3 (-1170)) (-4 *1 (-27)))) (-1701 (*1 *2 *3) (-12 (-5 *3 (-949 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1701 (*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1701 (*1 *2 *3 *4) (-12 (-5 *3 (-1166 *1)) (-5 *4 (-1170)) (-4 *1 (-27)) (-5 *2 (-641 *1))))) 
-(-13 (-363) (-999) (-10 -8 (-15 -1544 ($ (-949 $))) (-15 -1544 ($ (-1166 $))) (-15 -1544 ($ (-1166 $) (-1170))) (-15 -4248 ((-641 $) (-949 $))) (-15 -4248 ((-641 $) (-1166 $))) (-15 -4248 ((-641 $) (-1166 $) (-1170))) (-15 -1815 ($ (-949 $))) (-15 -1815 ($ (-1166 $))) (-15 -1815 ($ (-1166 $) (-1170))) (-15 -1701 ((-641 $) (-949 $))) (-15 -1701 ((-641 $) (-1166 $))) (-15 -1701 ((-641 $) (-1166 $) (-1170))))) 
+((-1300 (*1 *1 *2) (-12 (-5 *2 (-949 *1)) (-4 *1 (-27)))) (-1300 (*1 *1 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-27)))) (-1300 (*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-5 *3 (-1170)) (-4 *1 (-27)))) (-1914 (*1 *2 *3) (-12 (-5 *3 (-949 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1914 (*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1914 (*1 *2 *3 *4) (-12 (-5 *3 (-1166 *1)) (-5 *4 (-1170)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-1629 (*1 *1 *2) (-12 (-5 *2 (-949 *1)) (-4 *1 (-27)))) (-1629 (*1 *1 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-27)))) (-1629 (*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-5 *3 (-1170)) (-4 *1 (-27)))) (-4275 (*1 *2 *3) (-12 (-5 *3 (-949 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-4275 (*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) (-4275 (*1 *2 *3 *4) (-12 (-5 *3 (-1166 *1)) (-5 *4 (-1170)) (-4 *1 (-27)) (-5 *2 (-641 *1))))) 
+(-13 (-363) (-999) (-10 -8 (-15 -1300 ($ (-949 $))) (-15 -1300 ($ (-1166 $))) (-15 -1300 ($ (-1166 $) (-1170))) (-15 -1914 ((-641 $) (-949 $))) (-15 -1914 ((-641 $) (-1166 $))) (-15 -1914 ((-641 $) (-1166 $) (-1170))) (-15 -1629 ($ (-949 $))) (-15 -1629 ($ (-1166 $))) (-15 -1629 ($ (-1166 $) (-1170))) (-15 -4275 ((-641 $) (-949 $))) (-15 -4275 ((-641 $) (-1166 $))) (-15 -4275 ((-641 $) (-1166 $) (-1170))))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-407 (-564))) . T) ((-38 $) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 $ $) . T) ((-131) . T) ((-614 #0#) . T) ((-614 (-564)) . T) ((-614 $) . T) ((-611 (-859)) . T) ((-172) . T) ((-243) . T) ((-290) . T) ((-307) . T) ((-363) . T) ((-452) . T) ((-556) . T) ((-644 #0#) . T) ((-644 $) . T) ((-714 #0#) . T) ((-714 $) . T) ((-723) . T) ((-917) . T) ((-999) . T) ((-1052 #0#) . T) ((-1052 $) . T) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T) ((-1213) . T)) 
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 NIL 
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 NIL 
 (-36 |#1| |#2|) 
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 NIL 
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-NIL 
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+NIL 
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 NIL 
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 NIL 
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 NIL 
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+NIL 
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 (((-93) (-140)) (T -93)) 
 NIL 
 (-13 (-1094) (-490 (-1175))) 
 (((-102) . T) ((-614 #0=(-1175)) . T) ((-611 (-859)) . T) ((-611 #0#) . T) ((-490 #0#) . T) ((-1094) . T)) 
-((-2615 (($ $) 10)) (-2626 (($ $) 12))) 
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+((-1803 (($ $) 10)) (-1813 (($ $) 12))) 
+(((-94 |#1|) (-10 -8 (-15 -1813 (|#1| |#1|)) (-15 -1803 (|#1| |#1|))) (-95)) (T -94)) 
 NIL 
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-((-2595 (($ $) 11)) (-2566 (($ $) 10)) (-2615 (($ $) 9)) (-2626 (($ $) 8)) (-2605 (($ $) 7)) (-2577 (($ $) 6))) 
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 (((-95) (-140)) (T -95)) 
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-((-4337 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-96))))) 
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+(((-96) (-13 (-1077) (-10 -8 (-15 -2540 ((-1129) $))))) (T -96)) 
+((-2540 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-96))))) 
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 NIL 
 (((-98) (-140)) (T -98)) 
 NIL 
 (-13 (-10 -7 (-6 -4412) (-6 (-4414 "*")) (-6 -4413) (-6 -4409) (-6 -4407) (-6 -4406) (-6 -4405) (-6 -4410) (-6 -4404) (-6 -4403) (-6 -4402) (-6 -4401) (-6 -4400) (-6 -4408) (-6 -4411) (-6 |NullSquare|) (-6 |JacobiIdentity|) (-6 -4399))) 
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-((-1498 (((-418 |#2|) |#2| (-641 |#2|)) 10) (((-418 |#2|) |#2| |#2|) 11))) 
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-((-1498 (*1 *2 *3 *4) (-12 (-5 *4 (-641 *3)) (-4 *3 (-1235 *5)) (-4 *5 (-13 (-452) (-147))) (-5 *2 (-418 *3)) (-5 *1 (-100 *5 *3)))) (-1498 (*1 *2 *3 *3) (-12 (-4 *4 (-13 (-452) (-147))) (-5 *2 (-418 *3)) (-5 *1 (-100 *4 *3)) (-4 *3 (-1235 *4))))) 
-(-10 -7 (-15 -1498 ((-418 |#2|) |#2| |#2|)) (-15 -1498 ((-418 |#2|) |#2| (-641 |#2|)))) 
-((-3702 (((-112) $ $) 9))) 
-(((-101 |#1|) (-10 -8 (-15 -3702 ((-112) |#1| |#1|))) (-102)) (T -101)) 
-NIL 
-(-10 -8 (-15 -3702 ((-112) |#1| |#1|))) 
-((-3702 (((-112) $ $) 7)) (-1720 (((-112) $ $) 6))) 
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+((-3797 (*1 *1 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1046)) (-5 *1 (-99 *3)))) (-3797 (*1 *1 *2 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1046)) (-5 *1 (-99 *3)))) (-3797 (*1 *1 *2) (-12 (-5 *2 (-1 *3 *3 (-564))) (-4 *3 (-1046)) (-5 *1 (-99 *3))))) 
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+((-2285 (((-418 |#2|) |#2| (-641 |#2|)) 10) (((-418 |#2|) |#2| |#2|) 11))) 
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+((-2285 (*1 *2 *3 *4) (-12 (-5 *4 (-641 *3)) (-4 *3 (-1235 *5)) (-4 *5 (-13 (-452) (-147))) (-5 *2 (-418 *3)) (-5 *1 (-100 *5 *3)))) (-2285 (*1 *2 *3 *3) (-12 (-4 *4 (-13 (-452) (-147))) (-5 *2 (-418 *3)) (-5 *1 (-100 *4 *3)) (-4 *3 (-1235 *4))))) 
+(-10 -7 (-15 -2285 ((-418 |#2|) |#2| |#2|)) (-15 -2285 ((-418 |#2|) |#2| (-641 |#2|)))) 
+((-1709 (((-112) $ $) 9))) 
+(((-101 |#1|) (-10 -8 (-15 -1709 ((-112) |#1| |#1|))) (-102)) (T -101)) 
+NIL 
+(-10 -8 (-15 -1709 ((-112) |#1| |#1|))) 
+((-1709 (((-112) $ $) 7)) (-2853 (((-112) $ $) 6))) 
 (((-102) (-140)) (T -102)) 
-((-3702 (*1 *2 *1 *1) (-12 (-4 *1 (-102)) (-5 *2 (-112)))) (-1720 (*1 *2 *1 *1) (-12 (-4 *1 (-102)) (-5 *2 (-112))))) 
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-NIL 
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NIL) (($ $ (-407 (-564))) NIL) (($ (-407 (-564)) $) NIL) (($ (-116 |#1|) $) NIL) (($ $ (-116 |#1|)) NIL))) 
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+NIL 
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-NIL 
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+((-1788 (((-112) |#1|) 29)) (-2038 (((-768) (-768)) 28) (((-768)) 27)) (-2754 (((-112) |#1| (-112)) 30) (((-112) |#1|) 31))) 
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+NIL 
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 (((-34) . T) ((-102) . T) ((-611 (-859)) . T) ((-151 #0=(-112)) . T) ((-612 (-536)) |has| (-112) (-612 (-536))) ((-286 #1=(-564) #0#) . T) ((-288 #1# #0#) . T) ((-309 #0#) -12 (|has| (-112) (-309 (-112))) (|has| (-112) (-1094))) ((-373 #0#) . T) ((-489 #0#) . T) ((-602 #1# #0#) . T) ((-514 #0# #0#) -12 (|has| (-112) (-309 (-112))) (|has| (-112) (-1094))) ((-647 #0#) . T) ((-657) . T) ((-19 #0#) . T) ((-847) . T) ((-1094) . T) ((-1209) . T)) 
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 NIL 
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 NIL 
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-NIL 
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-NIL 
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 (((-193) (-784)) (T -193)) 
 NIL 
 (-784) 
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 (((-194) (-784)) (T -194)) 
 NIL 
 (-784) 
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 (((-195) (-784)) (T -195)) 
 NIL 
 (-784) 
-((-3702 (((-112) $ $) NIL)) (-3218 (((-1032) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) 63) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) NIL)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 36) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
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 (((-196) (-784)) (T -196)) 
 NIL 
 (-784) 
-((-3702 (((-112) $ $) NIL)) (-3218 (((-1032) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) 75) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) NIL)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 40) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
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 (((-197) (-784)) (T -197)) 
 NIL 
 (-784) 
-((-3702 (((-112) $ $) NIL)) (-3218 (((-1032) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) 90) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) NIL)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 48) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
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 (((-198) (-784)) (T -198)) 
 NIL 
 (-784) 
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 (((-199) (-784)) (T -199)) 
 NIL 
 (-784) 
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 (((-200) (-784)) (T -200)) 
 NIL 
 (-784) 
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 (((-201) (-784)) (T -201)) 
 NIL 
 (-784) 
-((-3702 (((-112) $ $) NIL)) (-3218 (((-1032) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225))) (-1032)) 79)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) NIL) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152)) (|:| |extra| (-1032))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 44)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
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 (((-202) (-784)) (T -202)) 
 NIL 
 (-784) 
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 (((-203) (-784)) (T -203)) 
 NIL 
 (-784) 
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 (((-206) (-797)) (T -206)) 
 NIL 
 (-797) 
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 (((-207) (-797)) (T -207)) 
 NIL 
 (-797) 
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 (((-208) (-797)) (T -208)) 
 NIL 
 (-797) 
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 (((-209) (-797)) (T -209)) 
 NIL 
 (-797) 
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 (((-211) (-892)) (T -211)) 
 NIL 
 (-892) 
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 (((-212) (-892)) (T -212)) 
 NIL 
 (-892) 
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+NIL 
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 (((-229 |#1|) (-140) (-1094)) (T -229)) 
 NIL 
 (-13 (-235 |t#1|)) 
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 NIL 
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 NIL 
 (-13 (-238 |#1| |#4|) (-644 |#2|) (-644 |#3|)) 
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 NIL 
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 NIL 
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 (((-266 |#1|) (-140) (-847)) (T -266)) 
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 (((-102) . T) ((-614 |#1|) . T) ((-611 (-859)) . T) ((-847) . T) ((-1035 |#1|) . T) ((-1094) . T)) 
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+((-3647 (*1 *2 *3) (-12 (-5 *3 (-3 (|:| |noa| (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) (|:| |lsa| (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))))) (-5 *2 (-641 (-1152))) (-5 *1 (-267)))) (-4200 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) (-5 *2 (-379)) (-5 *1 (-267)))) (-2826 (*1 *2 *3 *2) (-12 (-5 *2 (-1032)) (-5 *3 (-1170)) (-5 *1 (-267)))) (-1480 (*1 *2 *3 *4) (-12 (-5 *3 (-316 (-225))) (-5 *4 (-768)) (-5 *2 (-641 (-1170))) (-5 *1 (-267)))) (-4153 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) (-5 *2 (-641 (-1170))) (-5 *1 (-267)))) (-4113 (*1 *2 *3) (-12 (-5 *3 (-316 (-225))) (-5 *2 (-112)) (-5 *1 (-267)))) (-3191 (*1 *2 *2) (-12 (-5 *2 (-641 (-316 (-225)))) (-5 *1 (-267)))) (-1774 (*1 *2 *2) (-12 (-5 *2 (-641 (-316 (-225)))) (-5 *1 (-267)))) (-3727 (*1 *2 *3 *4) (-12 (-5 *3 (-641 (-316 (-225)))) (-5 *4 (-768)) (-5 *2 (-685 (-225))) (-5 *1 (-267)))) (-1381 (*1 *2 *3) (-12 (-5 *3 (-316 (-225))) (-5 *2 (-112)) (-5 *1 (-267)))) (-1381 (*1 *2 *3) (-12 (-5 *3 (-641 (-316 (-225)))) (-5 *2 (-112)) (-5 *1 (-267)))) (-2042 (*1 *2 *3) (-12 (-5 *3 (-641 (-316 (-225)))) (-5 *2 (-112)) (-5 *1 (-267)))) (-2609 (*1 *2 *2) (-12 (-5 *2 (-316 (-225))) (-5 *1 (-267)))) (-4271 (*1 *2 *2) (|partial| -12 (-5 *2 (-316 (-225))) (-5 *1 (-267)))) (-1836 (*1 *2 *2) (-12 (-5 *2 (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) (-5 *1 (-267)))) (-2469 (*1 *2 *3 *4) (-12 (-5 *3 (-641 (-840 (-225)))) (-5 *4 (-225)) (-5 *2 (-641 *4)) (-5 *1 (-267))))) 
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+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 56)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 32) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-268) (-836)) (T -268)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) 75) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 66)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 45) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) 47)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) 75) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 66)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 45) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) 47)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-269) (-836)) (T -269)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) 91) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 86)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 56) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) 67)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) 91) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 86)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 56) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) 67)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-270) (-836)) (T -270)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 73)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 45) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 73)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 45) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-271) (-836)) (T -271)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 65)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 31) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 65)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 31) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-272) (-836)) (T -272)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 90)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 33) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 90)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 33) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-273) (-836)) (T -273)) 
 NIL 
 (-836) 
-((-3702 (((-112) $ $) NIL)) (-3098 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 95)) (-3402 (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 32) (((-2 (|:| -3402 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225))))) NIL)) (-1868 (((-1152) $) NIL)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) NIL)) (-1720 (((-112) $ $) NIL))) 
+((-1709 (((-112) $ $) NIL)) (-3822 (((-1032) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL) (((-1032) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 95)) (-1335 (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225))) (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225)))) (|:| |ub| (-641 (-840 (-225)))))) 32) (((-2 (|:| -1335 (-379)) (|:| |explanations| (-1152))) (-1058) (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225))))) NIL)) (-2811 (((-1152) $) NIL)) (-4382 (((-1114) $) NIL)) (-1721 (((-859) $) NIL)) (-2853 (((-112) $ $) NIL))) 
 (((-274) (-836)) (T -274)) 
 NIL 
 (-836) 
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(-4 *2 (-13 (-430 *3) (-999))))) (-1695 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2428 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2468 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-4259 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-3167 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-1444 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-3200 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2281 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-4036 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-3529 (*1 *2 *2) (-12 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(-13 (-430 *3) (-999))))) (-2044 (*1 *2) (-12 (-4 *2 (-13 (-430 *3) (-999))) (-5 *1 (-276 *3 *2)) (-4 *3 (-13 (-847) (-556))))) (-2973 (*1 *2) (-12 (-4 *2 (-13 (-430 *3) (-999))) (-5 *1 (-276 *3 *2)) (-4 *3 (-13 (-847) (-556))))) (-2702 (*1 *2 *2) (-12 (-5 *2 (-114)) (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *4)) (-4 *4 (-13 (-430 *3) (-999))))) (-2068 (*1 *2 *3) (-12 (-5 *3 (-114)) (-4 *4 (-13 (-847) (-556))) (-5 *2 (-112)) (-5 *1 (-276 *4 *5)) (-4 *5 (-13 (-430 *4) (-999))))) (-1688 (*1 *2) (-12 (-4 *2 (-13 (-430 *3) (-999))) (-5 *1 (-276 *3 *2)) (-4 *3 (-13 (-847) (-556))))) (-2053 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2751 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2740 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2728 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2716 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2704 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2692 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2679 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2669 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2657 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2647 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2635 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2626 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-999))))) (-2615 (*1 *2 *2) (-12 (-4 *3 (-13 (-847) 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-NIL 
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 ((** (($ $ $) 10))) 
 (((-283 |#1|) (-10 -8 (-15 ** (|#1| |#1| |#1|))) (-284)) (T -283)) 
 NIL 
 (-10 -8 (-15 ** (|#1| |#1| |#1|))) 
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 NIL 
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 (((-290) (-140)) (T -290)) 
 NIL 
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-NIL 
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+NIL 
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 (((-307) (-140)) (T -307)) 
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 NIL 
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 (((-322 |#1|) (-13 (-21) (-714 (-564)) (-323 |#1| (-564)) (-10 -7 (IF (|has| |#1| (-847)) (-6 (-847)) |%noBranch|))) (-1094)) (T -322)) 
 NIL 
 (-13 (-21) (-714 (-564)) (-323 |#1| (-564)) (-10 -7 (IF (|has| |#1| (-847)) (-6 (-847)) |%noBranch|))) 
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+((-3745 (((-112) $) 14))) 
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+NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-131) . T) ((-611 (-859)) . T) ((-1094) . T)) 
-((-3702 (((-112) $ $) NIL)) (-1556 (((-112) $) NIL)) (-4281 (((-3 $ "failed") $ $) NIL)) (-3180 (($) NIL T CONST)) (-1728 (($ $) 33)) (-3959 (((-112) $) NIL)) (-1868 (((-1152) $) NIL)) (-3230 (((-1259 |#4|) $) 135)) (-3952 (((-413 |#2| (-407 |#2|) |#3| |#4|) $) 31)) (-3844 (((-1114) $) NIL)) (-1729 (((-3 |#4| "failed") $) 36)) (-3604 (((-1259 |#4|) $) 127)) (-4266 (($ (-413 |#2| (-407 |#2|) |#3| |#4|)) 41) (($ |#4|) 43) (($ |#1| |#1|) 45) (($ |#1| |#1| (-564)) 47) (($ |#4| |#2| |#2| |#2| |#1|) 49)) (-3282 (((-2 (|:| -3532 (-413 |#2| (-407 |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) 39)) (-3714 (((-859) $) 17)) (-4312 (($) 14 T CONST)) (-1720 (((-112) $ $) 20)) (-1828 (($ $) 27) (($ $ $) NIL)) (-1814 (($ $ $) 25)) (* (($ (-918) $) NIL) (($ (-768) $) NIL) (($ (-564) $) 23))) 
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-((-3604 (*1 *2 *1) (-12 (-4 *3 (-363)) (-4 *4 (-1235 *3)) (-4 *5 (-1235 (-407 *4))) (-5 *2 (-1259 *6)) (-5 *1 (-336 *3 *4 *5 *6)) (-4 *6 (-342 *3 *4 *5)))) (-3230 (*1 *2 *1) (-12 (-4 *3 (-363)) (-4 *4 (-1235 *3)) (-4 *5 (-1235 (-407 *4))) (-5 *2 (-1259 *6)) (-5 *1 (-336 *3 *4 *5 *6)) (-4 *6 (-342 *3 *4 *5))))) 
-(-13 (-335 |#1| |#2| |#3| |#4|) (-10 -8 (-15 -3604 ((-1259 |#4|) $)) (-15 -3230 ((-1259 |#4|) $)))) 
-((-2582 (($ $ (-1170) |#2|) NIL) (($ $ (-641 (-1170)) (-641 |#2|)) 20) (($ $ (-641 (-294 |#2|))) 15) (($ $ (-294 |#2|)) NIL) (($ $ |#2| |#2|) NIL) (($ $ (-641 |#2|) (-641 |#2|)) NIL)) (-4382 (($ $ |#2|) 11))) 
-(((-337 |#1| |#2|) (-10 -8 (-15 -4382 (|#1| |#1| |#2|)) (-15 -2582 (|#1| |#1| (-641 |#2|) (-641 |#2|))) (-15 -2582 (|#1| |#1| |#2| |#2|)) (-15 -2582 (|#1| |#1| (-294 |#2|))) (-15 -2582 (|#1| |#1| (-641 (-294 |#2|)))) (-15 -2582 (|#1| |#1| (-641 (-1170)) (-641 |#2|))) (-15 -2582 (|#1| |#1| (-1170) |#2|))) (-338 |#2|) (-1094)) (T -337)) 
-NIL 
-(-10 -8 (-15 -4382 (|#1| |#1| |#2|)) (-15 -2582 (|#1| |#1| (-641 |#2|) (-641 |#2|))) (-15 -2582 (|#1| |#1| |#2| |#2|)) (-15 -2582 (|#1| |#1| (-294 |#2|))) (-15 -2582 (|#1| |#1| (-641 (-294 |#2|)))) (-15 -2582 (|#1| |#1| (-641 (-1170)) (-641 |#2|))) (-15 -2582 (|#1| |#1| (-1170) |#2|))) 
-((-2313 (($ (-1 |#1| |#1|) $) 6)) (-2582 (($ $ (-1170) |#1|) 17 (|has| |#1| (-514 (-1170) |#1|))) (($ $ (-641 (-1170)) (-641 |#1|)) 16 (|has| |#1| (-514 (-1170) |#1|))) (($ $ (-641 (-294 |#1|))) 15 (|has| |#1| (-309 |#1|))) (($ $ (-294 |#1|)) 14 (|has| |#1| (-309 |#1|))) (($ $ |#1| |#1|) 13 (|has| |#1| (-309 |#1|))) (($ $ (-641 |#1|) (-641 |#1|)) 12 (|has| |#1| (-309 |#1|)))) (-4382 (($ $ |#1|) 11 (|has| |#1| (-286 |#1| |#1|))))) 
+((-1709 (((-112) $ $) NIL)) (-2013 (((-112) $) NIL)) (-2071 (((-3 $ "failed") $ $) NIL)) (-1692 (($) NIL T CONST)) (-3658 (($ $) 33)) (-3745 (((-112) $) NIL)) (-2811 (((-1152) $) NIL)) (-3887 (((-1259 |#4|) $) 135)) (-2050 (((-413 |#2| (-407 |#2|) |#3| |#4|) $) 31)) (-4382 (((-1114) $) NIL)) (-2739 (((-3 |#4| "failed") $) 36)) (-2291 (((-1259 |#4|) $) 127)) (-4119 (($ (-413 |#2| (-407 |#2|) |#3| |#4|)) 41) (($ |#4|) 43) (($ |#1| |#1|) 45) (($ |#1| |#1| (-564)) 47) (($ |#4| |#2| |#2| |#2| |#1|) 49)) (-3064 (((-2 (|:| -1554 (-413 |#2| (-407 |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) 39)) (-1721 (((-859) $) 17)) (-2885 (($) 14 T CONST)) (-2853 (((-112) $ $) 20)) (-2970 (($ $) 27) (($ $ $) NIL)) (-2956 (($ $ $) 25)) (* (($ (-918) $) NIL) (($ (-768) $) NIL) (($ (-564) $) 23))) 
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+(-13 (-335 |#1| |#2| |#3| |#4|) (-10 -8 (-15 -2291 ((-1259 |#4|) $)) (-15 -3887 ((-1259 |#4|) $)))) 
+((-3227 (($ $ (-1170) |#2|) NIL) (($ $ (-641 (-1170)) (-641 |#2|)) 20) (($ $ (-641 (-294 |#2|))) 15) (($ $ (-294 |#2|)) NIL) (($ $ |#2| |#2|) NIL) (($ $ (-641 |#2|) (-641 |#2|)) NIL)) (-2961 (($ $ |#2|) 11))) 
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+NIL 
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 (((-338 |#1|) (-140) (-1094)) (T -338)) 
-((-2313 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-338 *3)) (-4 *3 (-1094))))) 
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+((-2110 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-338 *3)) (-4 *3 (-1094))))) 
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 NIL 
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 NIL 
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-NIL 
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+NIL 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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 (((-370 |#1| |#2|) (-140) (-172) (-1235 |t#1|)) (T -370)) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-131) . T) ((-145) |has| |#1| (-145)) ((-147) |has| |#1| (-147)) ((-614 (-564)) . T) ((-614 |#1|) . T) ((-611 (-859)) . T) ((-644 |#1|) . T) ((-644 $) . T) ((-714 |#1|) . T) ((-723) . T) ((-1052 |#1|) . T) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T)) 
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-NIL 
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-NIL 
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+NIL 
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 (((-377 |#1|) (-140) (-1046)) (T -377)) 
 NIL 
 (-13 (-637 |t#1|) (-10 -7 (IF (|has| |t#1| (-637 (-564))) (-6 (-637 (-564))) |%noBranch|))) 
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 (((-387) (-140)) (T -387)) 
 NIL 
 (-13 (-556) (-847) (-1035 (-564))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-131) . T) ((-614 (-564)) . T) ((-614 $) . T) ((-611 (-859)) . T) ((-172) . T) ((-290) . T) ((-556) . T) ((-644 $) . T) ((-714 $) . T) ((-723) . T) ((-847) . T) ((-1035 (-564)) . T) ((-1052 $) . T) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T)) 
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 (((-388) (-389)) (T -388)) 
 NIL 
 (-389) 
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 (((-389) (-140)) (T -389)) 
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 (((-102) . T) ((-614 #0=(-1152)) . T) ((-611 (-859)) . T) ((-611 #0#) . T) ((-490 #0#) . T) ((-1094) . T)) 
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 NIL 
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 NIL 
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 NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-131) . T) ((-145) |has| |#1| (-145)) ((-147) |has| |#1| (-147)) ((-614 (-564)) . T) ((-614 |#1|) . T) ((-611 (-859)) . T) ((-370 |#1| |#2|) . T) ((-644 |#1|) . T) ((-644 $) . T) ((-714 |#1|) . T) ((-723) . T) ((-1052 |#1|) . T) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T)) 
-((-2224 (((-3 |#2| "failed") $) NIL) (((-3 (-407 (-564)) "failed") $) 27) (((-3 (-564) "failed") $) 19)) (-2376 ((|#2| $) NIL) (((-407 (-564)) $) 24) (((-564) $) 14)) (-3714 (($ |#2|) NIL) (($ (-407 (-564))) 22) (($ (-564)) 11))) 
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+((-2035 (((-3 |#2| "failed") $) NIL) (((-3 (-407 (-564)) "failed") $) 27) (((-3 (-564) "failed") $) 19)) (-3437 ((|#2| $) NIL) (((-407 (-564)) $) 24) (((-564) $) 14)) (-1721 (($ |#2|) NIL) (($ (-407 (-564))) 22) (($ (-564)) 11))) 
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 NIL 
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 (((-411 |#1|) (-140) (-1209)) (T -411)) 
 NIL 
 (-13 (-1035 |t#1|) (-10 -7 (IF (|has| |t#1| (-1035 (-564))) (-6 (-1035 (-564))) |%noBranch|) (IF (|has| |t#1| (-1035 (-407 (-564)))) (-6 (-1035 (-407 (-564)))) |%noBranch|))) 
 (((-614 #0=(-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) ((-614 #1=(-564)) |has| |#1| (-1035 (-564))) ((-614 |#1|) . T) ((-1035 #0#) |has| |#1| (-1035 (-407 (-564)))) ((-1035 #1#) |has| |#1| (-1035 (-564))) ((-1035 |#1|) . T)) 
-((-2313 (((-413 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-413 |#1| |#2| |#3| |#4|)) 35))) 
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-(-10 -7 (-15 -2313 ((-413 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-413 |#1| |#2| |#3| |#4|)))) 
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-((-2313 ((|#3| (-1 |#4| |#2|) |#1|) 32))) 
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-((-2313 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-172)) (-4 *6 (-172)) (-4 *2 (-417 *6)) (-5 *1 (-415 *4 *5 *2 *6)) (-4 *4 (-417 *5))))) 
-(-10 -7 (-15 -2313 (|#3| (-1 |#4| |#2|) |#1|))) 
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-NIL 
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-NIL 
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+NIL 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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-NIL 
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+NIL 
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 (((-473) (-140)) (T -473)) 
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 (((-102) . T) ((-611 (-859)) . T) ((-723) . T) ((-1106) . T) ((-1094) . T)) 
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 (((-475 |#1| |#2| |#3| |#4|) (-1185 |#1| |#2|) (-1094) (-1094) (-1185 |#1| |#2|) |#2|) (T -475)) 
 NIL 
 (-1185 |#1| |#2|) 
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 (((-476 |#1| |#2| |#3| |#4|) (-1202 |#1| |#2| |#3| |#4|) (-556) (-790) (-847) (-1060 |#1| |#2| |#3|)) (T -476)) 
 NIL 
 (-1202 |#1| |#2| |#3| |#4|) 
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-((-1688 (*1 *1) (-5 *1 (-477)))) 
-(-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564))) (-1019) (-611 (-225)) (-611 (-379)) (-612 (-407 (-1166 (-564)))) (-612 (-536)) (-10 -8 (-15 -1688 ($)))) 
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-(((-478) (-13 (-1077) (-10 -8 (-15 -3109 ((-1129) $)) (-15 -3119 ((-1129) $))))) (T -478)) 
-((-3109 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-478)))) (-3119 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-478))))) 
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 NIL 
 (-238 |#1| |#2|) 
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 NIL 
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 (((-490 |#1|) (-140) (-1209)) (T -490)) 
 NIL 
 (-13 (-611 |t#1|) (-614 |t#1|)) 
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-NIL 
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+NIL 
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 NIL 
 (-19 |#1|) 
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 NIL 
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 NIL 
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 NIL 
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 NIL 
 (-13 (-789) (-509 |#1| |#2|)) 
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 (((-511 |#1| |#2|) (-13 (-790) (-509 |#1| |#2|)) (-790) (-847)) (T -511)) 
 NIL 
 (-13 (-790) (-509 |#1| |#2|)) 
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 (((-512 |#1| |#2|) (-509 |#1| |#2|) (-1094) (-847)) (T -512)) 
 NIL 
 (-509 |#1| |#2|) 
-((-2582 (($ $ (-641 |#2|) (-641 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
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+((-3227 (($ $ (-641 |#2|) (-641 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
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 NIL 
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-((-2582 (($ $ (-641 |#1|) (-641 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
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+((-3227 (($ $ (-641 |#1|) (-641 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
 (((-514 |#1| |#2|) (-140) (-1094) (-1209)) (T -514)) 
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 (((-515 |#1| |#2| |#3|) (-323 |#1| |#2|) (-1094) (-131) |#2|) (T -515)) 
 NIL 
 (-323 |#1| |#2|) 
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 NIL 
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 NIL 
 (-57 |#1| |#4| |#5|) 
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NIL (|has| $ (-6 -4412)))) (-1781 (((-112) $ $) NIL (|has| |#1| (-847)))) (-1758 (((-112) $ $) NIL (|has| |#1| (-847)))) (-1720 (((-112) $ $) 58 (|has| |#1| (-1094)))) (-1769 (((-112) $ $) NIL (|has| |#1| (-847)))) (-1746 (((-112) $ $) NIL (|has| |#1| (-847)))) (-2779 (((-768) $) 9 (|has| $ (-6 -4412))))) 
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(|has| $ (-6 -4413)))) (-3424 (($ $ (-641 $)) NIL (|has| $ (-6 -4413)))) (-4085 (($ (-1 (-112) |#1|) $) NIL)) (-3346 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4412)))) (-4041 ((|#1| $) NIL)) (-1692 (($) NIL T CONST)) (-3796 (($ $) 28 (|has| $ (-6 -4413)))) (-2460 (($ $) 29)) (-1908 (($ $) 18) (($ $ (-768)) 35)) (-3176 (($ $) 66 (|has| |#1| (-1094)))) (-1928 (($ $) NIL (-12 (|has| $ (-6 -4412)) (|has| |#1| (-1094))))) (-3537 (($ |#1| $) NIL (|has| |#1| (-1094))) (($ (-1 (-112) |#1|) $) NIL)) (-3813 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4412))) (($ |#1| $) NIL (-12 (|has| $ (-6 -4412)) (|has| |#1| (-1094))))) (-3658 ((|#1| (-1 |#1| |#1| |#1|) $) NIL (|has| $ (-6 -4412))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) NIL (|has| $ (-6 -4412))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) NIL (-12 (|has| $ (-6 -4412)) (|has| |#1| (-1094))))) (-1452 ((|#1| $ (-564) |#1|) NIL (|has| $ (-6 -4413)))) (-1379 ((|#1| $ (-564)) NIL)) (-1644 (((-112) $) NIL)) (-1317 (((-564) |#1| $ (-564)) NIL (|has| |#1| 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 (((-520 |#1| |#2|) (-662 |#1|) (-1209) (-564)) (T -520)) 
 NIL 
 (-662 |#1|) 
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+((-1816 ((|#4| |#4|) 37)) (-3147 (((-768) |#4|) 46)) (-2751 (((-768) |#4|) 47)) (-2137 (((-641 |#3|) |#4|) 56 (|has| |#3| (-6 -4413)))) (-3429 (((-3 |#4| "failed") |#4|) 70)) (-2949 ((|#4| |#4|) 62)) (-3274 ((|#1| |#4|) 61))) 
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+(-10 -7 (-15 -1816 (|#4| |#4|)) (-15 -3147 ((-768) |#4|)) (-15 -2751 ((-768) |#4|)) (IF (|has| |#3| (-6 -4413)) (-15 -2137 ((-641 |#3|) |#4|)) |%noBranch|) (-15 -3274 (|#1| |#4|)) (-15 -2949 (|#4| |#4|)) (-15 -3429 ((-3 |#4| "failed") |#4|))) 
+((-1816 ((|#8| |#4|) 20)) (-2137 (((-641 |#3|) |#4|) 29 (|has| |#7| (-6 -4413)))) (-3429 (((-3 |#8| "failed") |#4|) 23))) 
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+((-2137 (*1 *2 *3) (-12 (|has| *9 (-6 -4413)) (-4 *4 (-556)) (-4 *5 (-373 *4)) (-4 *6 (-373 *4)) (-4 *7 (-989 *4)) (-4 *8 (-373 *7)) (-4 *9 (-373 *7)) (-5 *2 (-641 *6)) (-5 *1 (-522 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-683 *4 *5 *6)) (-4 *10 (-683 *7 *8 *9)))) (-3429 (*1 *2 *3) (|partial| -12 (-4 *4 (-556)) (-4 *5 (-373 *4)) (-4 *6 (-373 *4)) (-4 *7 (-989 *4)) (-4 *2 (-683 *7 *8 *9)) (-5 *1 (-522 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-683 *4 *5 *6)) (-4 *8 (-373 *7)) (-4 *9 (-373 *7)))) (-1816 (*1 *2 *3) (-12 (-4 *4 (-556)) (-4 *5 (-373 *4)) (-4 *6 (-373 *4)) (-4 *7 (-989 *4)) (-4 *2 (-683 *7 *8 *9)) (-5 *1 (-522 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-683 *4 *5 *6)) (-4 *8 (-373 *7)) (-4 *9 (-373 *7))))) 
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 (((-523 |#1| |#2| |#3|) (-683 |#1| (-600 |#1| |#3|) (-600 |#1| |#2|)) (-1046) (-564) (-564)) (T -523)) 
 NIL 
 (-683 |#1| (-600 |#1| |#3|) (-600 |#1| |#2|)) 
-((-3702 (((-112) $ $) NIL)) (-1868 (((-1152) $) NIL)) (-2209 (((-641 (-1208)) $) 13)) (-3844 (((-1114) $) NIL)) (-3714 (((-859) $) 19) (($ (-1175)) NIL) (((-1175) $) NIL) (($ (-641 (-1208))) 11)) (-1720 (((-112) $ $) NIL))) 
-(((-524) (-13 (-1077) (-10 -8 (-15 -3714 ($ (-641 (-1208)))) (-15 -2209 ((-641 (-1208)) $))))) (T -524)) 
-((-3714 (*1 *1 *2) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-524)))) (-2209 (*1 *2 *1) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-524))))) 
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-(((-525) (-13 (-1077) (-10 -8 (-15 -2075 ((-506) $)) (-15 -1437 ((-1129) $))))) (T -525)) 
-((-2075 (*1 *2 *1) (-12 (-5 *2 (-506)) (-5 *1 (-525)))) (-1437 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-525))))) 
-(-13 (-1077) (-10 -8 (-15 -2075 ((-506) $)) (-15 -1437 ((-1129) $)))) 
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-NIL 
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-((-3420 (((-687 (-1217)) $) 12)) (-4117 (((-687 (-1215)) $) 8)) (-3900 (((-687 (-1214)) $) 10)) (-1540 (((-687 (-549)) $) 13)) (-2983 (((-687 (-547)) $) 9)) (-3877 (((-687 (-546)) $) 11)) (-1306 (((-768) $ (-128)) 7)) (-2839 (((-687 (-129)) $) 14)) (-3977 (($ $) 6))) 
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+(((-524) (-13 (-1077) (-10 -8 (-15 -1721 ($ (-641 (-1208)))) (-15 -1352 ((-641 (-1208)) $))))) (T -524)) 
+((-1721 (*1 *1 *2) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-524)))) (-1352 (*1 *2 *1) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-524))))) 
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+NIL 
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 (((-527) (-140)) (T -527)) 
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 (((-173) . T)) 
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 NIL 
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-((-2575 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4167 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-559)))) (-4121 (*1 *2 *1) (-12 (-5 *2 (-641 (-2 (|:| -1350 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| -2575 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4167 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (-5 *1 (-559)))) (-1475 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4167 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-559)))) (-2373 (*1 *1 *2) (-12 (-5 *2 (-2 (|:| -1350 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| -2575 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4167 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (-5 *1 (-559)))) (-2793 (*1 *1 *2) (-12 (-5 *2 (-641 (-2 (|:| -1350 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| 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+(-10 -7 (-15 -4020 ((-418 |#1|) |#1|)) (-15 -1798 ((-418 |#1|) |#1|)) (-15 -4228 ((-418 |#1|) |#1|)) (-15 -1299 ((-3 |#1| "failed") |#1|))) 
+((-2714 (($) 9)) (-2524 (((-3 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1743 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 35)) (-2659 (((-641 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) $) 32)) (-3573 (($ (-2 (|:| -2381 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| -3096 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1743 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) 29)) (-2200 (($ (-641 (-2 (|:| -2381 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| -3096 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1743 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) 27)) (-3096 (((-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1743 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) 39)) (-3111 (((-641 (-2 (|:| -2381 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| -3096 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1743 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) 37)) (-4362 (((-1264)) 12))) 
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 NIL 
 (-1257 |#1|) 
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 NIL 
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 (((-603) (-13 (-611 (-859)) (-490 (-129)))) (T -603)) 
 NIL 
 (-13 (-611 (-859)) (-490 (-129))) 
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+((-1721 (*1 *1 *2) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-604)))) (-2702 (*1 *2 *1) (-12 (-5 *2 (-641 (-1208))) (-5 *1 (-604))))) 
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NIL (|has| |#2| (-367 |#1|)))) (-2816 (((-3 $ "failed") $) NIL (-2713 (-12 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))))) (-3034 (((-1166 (-949 |#1|))) NIL (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-363))))) (-4095 (($ $ (-918)) NIL)) (-1945 ((|#1| $) NIL (|has| |#2| (-367 |#1|)))) (-2829 (((-1166 |#1|) $) NIL (-2713 (-12 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))))) (-1660 ((|#1|) NIL (|has| |#2| (-417 |#1|))) ((|#1| (-1259 $)) NIL (|has| |#2| (-367 |#1|)))) (-3390 (((-1166 |#1|) $) NIL (|has| |#2| (-367 |#1|)))) (-1936 (((-112)) NIL (|has| |#2| (-367 |#1|)))) (-3222 (($ (-1259 |#1|)) NIL (|has| |#2| (-417 |#1|))) (($ (-1259 |#1|) (-1259 $)) NIL (|has| |#2| (-367 |#1|)))) (-3233 (((-3 $ "failed") $) NIL (-2713 (-12 (|has| |#2| (-367 |#1|)) (|has| |#1| (-556))) (-12 (|has| |#2| (-417 |#1|)) (|has| |#1| (-556)))))) (-3147 (((-918)) NIL (|has| |#2| (-367 |#1|)))) (-1826 (((-112)) 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 (((-642 |#1|) (-13 (-1077) (-611 |#1|)) (-1094)) (T -642)) 
 NIL 
 (-13 (-1077) (-611 |#1|)) 
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 (-13 (-21) (-10 -8 (-15 * ($ |t#1| $)))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-131) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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-NIL 
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+NIL 
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 NIL 
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 NIL 
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 (((-654 |#1| |#2|) (-652 |#1|) (-1046) (-1 |#1| |#1|)) (T -654)) 
 NIL 
 (-652 |#1|) 
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-NIL 
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+NIL 
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 (((-102) . T)) 
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 NIL 
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-NIL 
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-NIL 
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 (((-699 |#1|) (-13 (-132) (-490 |#1|)) (-1094)) (T -699)) 
 NIL 
 (-13 (-132) (-490 |#1|)) 
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 ((* (($ (-918) $) NIL) (($ (-768) $) NIL) (($ (-564) $) NIL) (($ |#2| $) NIL) (($ $ |#2|) 9))) 
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 NIL 
 (-10 -8 (-15 * (|#1| |#1| |#2|)) (-15 * (|#1| |#2| |#1|)) (-15 * (|#1| (-564) |#1|)) (-15 * (|#1| (-768) |#1|)) (-15 * (|#1| (-918) |#1|))) 
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 (((-714 |#1|) (-140) (-172)) (T -714)) 
 NIL 
 (-13 (-111 |t#1| |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-131) . T) ((-611 (-859)) . T) ((-644 |#1|) . T) ((-1052 |#1|) . T) ((-1094) . T)) 
-((-3702 (((-112) $ $) NIL)) (-2490 (($ |#1|) 17) (($ $ |#1|) 20)) (-3099 (($ |#1|) 18) (($ $ |#1|) 21)) (-3180 (($) NIL T CONST)) (-4272 (((-3 $ "failed") $) NIL) (($) 19) (($ $) 22)) (-2340 (((-112) $) NIL)) (-2637 (($ |#1| |#1| |#1| |#1|) 8)) (-1868 (((-1152) $) NIL)) (-1295 (($ $) 16)) (-3844 (((-1114) $) NIL)) (-2582 ((|#1| $ |#1|) 24) (((-830 |#1|) $ (-830 |#1|)) 32)) (-1953 (($ $ $) NIL)) (-3217 (($ $ $) NIL)) (-3714 (((-859) $) 39)) (-4323 (($) 9 T CONST)) (-1720 (((-112) $ $) 48)) (-1841 (($ $ $) NIL)) (** (($ $ (-918)) NIL) (($ $ (-768)) NIL) (($ $ (-564)) NIL)) (* (($ $ $) 14))) 
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-NIL 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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 NIL 
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 NIL 
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-NIL 
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+NIL 
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 NIL 
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 (((-788) (-140)) (T -788)) 
 NIL 
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 NIL 
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 (((-791) (-140)) (T -791)) 
 NIL 
 (-13 (-847) (-25)) 
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 (((-792) (-140)) (T -792)) 
 NIL 
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 NIL 
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 NIL 
 (-13 (-111 $ $) (-233) (-490 |#2|) (-10 -7 (IF (|has| |#2| (-363)) (-6 (-363)) |%noBranch|))) 
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 (((-815 |#1|) (-266 |#1|) (-847)) (T -815)) 
 NIL 
 (-266 |#1|) 
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 (((-817) (-140)) (T -817)) 
 NIL 
 (-13 (-556) (-845)) 
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 (((-841) (-140)) (T -841)) 
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 (((-102) . T) ((-611 (-859)) . T) ((-368) . T) ((-847) . T) ((-1094) . T)) 
-((-3925 (((-112) (-1259 |#2|) (-1259 |#2|)) 23)) (-3470 (((-112) (-1259 |#2|) (-1259 |#2|)) 24)) (-2236 (((-112) (-1259 |#2|) (-1259 |#2|)) 20))) 
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 (((-843) (-140)) (T -843)) 
 NIL 
 (-13 (-854) (-723)) 
 (((-102) . T) ((-611 (-859)) . T) ((-723) . T) ((-854) . T) ((-847) . T) ((-1106) . T) ((-1094) . T)) 
-((-3191 (((-564) $) 20)) (-3137 (((-112) $) 10)) (-2001 (((-112) $) 11)) (-3920 (($ $) 22))) 
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 NIL 
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 (((-845) (-140)) (T -845)) 
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-((-3428 (($ $ $) 10)) (-3413 (($ $ $) 9)) (-1781 (((-112) $ $) 12)) (-1758 (((-112) $ $) 11)) (-1769 (((-112) $ $) 13))) 
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+((-2766 (($ $ $) 10)) (-1650 (($ $ $) 9)) (-2920 (((-112) $ $) 12)) (-2893 (((-112) $ $) 11)) (-2908 (((-112) $ $) 13))) 
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 NIL 
-(-10 -8 (-15 -3428 (|#1| |#1| |#1|)) (-15 -3413 (|#1| |#1| |#1|)) (-15 -1769 ((-112) |#1| |#1|)) (-15 -1781 ((-112) |#1| |#1|)) (-15 -1758 ((-112) |#1| |#1|))) 
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 (((-847) (-140)) (T -847)) 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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 (((-852 |#1| |#2| |#3| |#4|) (-13 (-849 |#2|) (-614 (-1255 |#1|))) (-1170) (-1046) (-99 |#2|) (-1 |#2| |#2|)) (T -852)) 
 NIL 
 (-13 (-849 |#2|) (-614 (-1255 |#1|))) 
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+((-3686 ((|#1| (-768) |#1|) 48 (|has| |#1| (-38 (-407 (-564)))))) (-2539 ((|#1| (-768) (-768) |#1|) 39) ((|#1| (-768) |#1|) 27)) (-3627 ((|#1| (-768) |#1|) 43)) (-2372 ((|#1| (-768) |#1|) 41)) (-2939 ((|#1| (-768) |#1|) 40))) 
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 (((-854) (-140)) (T -854)) 
 NIL 
 (-13 (-847) (-1106)) 
 (((-102) . T) ((-611 (-859)) . T) ((-847) . T) ((-1106) . T) ((-1094) . T)) 
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-(((-855) (-13 (-847) (-10 -8 (-15 -3714 ($ (-564))) (-15 -3387 ((-564) $))))) (T -855)) 
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-NIL 
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+NIL 
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 (((-857) (-140)) (T -857)) 
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 (((-173) . T)) 
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 NIL 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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-NIL 
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+NIL 
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 (((-897 |#1|) (-140) (-1094)) (T -897)) 
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 (((-940 |#1|) (-977 |#1|) (-1046)) (T -940)) 
 NIL 
 (-977 |#1|) 
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-NIL 
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+NIL 
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 (((-971) (-140)) (T -971)) 
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 (((-611 (-859)) . T)) 
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 NIL 
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 (((-1019) (-140)) (T -1019)) 
 NIL 
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-NIL 
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 (-13 (-21) (-10 -8 (-15 * ($ $ |t#1|)))) 
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 (-13 (-21) (-1106)) 
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 (((-1081 |#1|) (-13 (-253 |#1| (-1170) (-1082 (-1170)) (-531 (-1082 (-1170)))) (-1035 (-1119 |#1| (-1170)))) (-1046)) (T -1081)) 
 NIL 
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 (((-1082 |#1|) (-266 |#1|) (-847)) (T -1082)) 
 NIL 
 (-266 |#1|) 
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 (((-616 |#1|) . T)) 
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 NIL 
 (-13 (-1087 |#1|) (-10 -7 (IF (|has| |#1| (-1094)) (-6 (-1094)) |%noBranch|) (IF (|has| |#1| (-845)) (-6 (-1089 |#1| (-641 |#1|))) |%noBranch|))) 
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 (((-616 |#1|) . T) ((-1087 |#1|) . T)) 
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-((-4347 (*1 *2 *1) (-12 (-5 *2 (-641 (-1129))) (-5 *1 (-1090)))) (-2541 (*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-1090))))) 
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-NIL 
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+NIL 
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 (((-34) . T) ((-102) . T) ((-611 (-859)) . T) ((-151 |#1|) . T) ((-612 (-536)) |has| |#1| (-612 (-536))) ((-309 |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-489 |#1|) . T) ((-514 |#1| |#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) ((-1094) . T) ((-1209) . T)) 
-((-1868 (((-1152) $) 10)) (-3844 (((-1114) $) 8))) 
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 NIL 
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 (((-1094) (-140)) (T -1094)) 
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 (((-102) . T) ((-611 (-859)) . T)) 
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 (((-1096 |#1|) (-425 |#1|) (-1094)) (T -1096)) 
 NIL 
 (-425 |#1|) 
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 (((-1097 |#1| |#2| |#3| |#4| |#5|) (-140) (-1094) (-1094) (-1094) (-1094) (-1094)) (T -1097)) 
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 (((-102) . T) ((-611 (-859)) . T) ((-616 (-641 $)) . T) ((-616 |#1|) . T) ((-616 |#2|) . T) ((-616 |#3|) . T) ((-616 |#4|) . T) ((-616 |#5|) . T) ((-1094) . T)) 
-((-3702 (((-112) $ $) NIL)) (-2307 (((-112) $) NIL)) (-2713 (((-1170) $) NIL)) (-2568 (((-112) $) NIL)) (-3963 (((-1152) $) NIL)) (-1696 (((-112) $) NIL)) (-1539 (((-112) $) NIL)) (-3306 (((-112) $) NIL)) (-1868 (((-1152) $) NIL)) (-3518 (((-112) $) NIL)) (-2738 (((-564) $) NIL)) (-3844 (((-1114) $) NIL)) (-2614 (((-112) $) NIL)) (-2244 (((-225) $) NIL)) (-3779 (((-859) $) NIL)) (-4035 (((-112) $ $) NIL)) (-4382 (($ $ (-564)) NIL) (($ $ (-641 (-564))) NIL)) (-4222 (((-641 $) $) NIL)) (-2374 (($ (-1152)) NIL) (($ (-1170)) NIL) (($ (-564)) NIL) (($ (-225)) NIL) (($ (-859)) NIL) (($ (-641 $)) NIL)) (-3714 (((-859) $) NIL)) (-1951 (($ $) NIL)) (-1940 (($ $) NIL)) (-4280 (((-112) $) NIL)) (-1720 (((-112) $ $) NIL)) (-2779 (((-564) $) NIL))) 
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 (((-1098) (-1097 (-1152) (-1170) (-564) (-225) (-859))) (T -1098)) 
 NIL 
 (-1097 (-1152) (-1170) (-564) (-225) (-859)) 
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 (((-1099 |#1| |#2| |#3| |#4| |#5|) (-1097 |#1| |#2| |#3| |#4| |#5|) (-1094) (-1094) (-1094) (-1094) (-1094)) (T -1099)) 
 NIL 
 (-1097 |#1| |#2| |#3| |#4| |#5|) 
-((-2263 (((-1264) $) 23)) (-3935 (($ (-1170) (-434) |#2|) 11)) (-3714 (((-859) $) 16))) 
-(((-1100 |#1| |#2|) (-13 (-395) (-10 -8 (-15 -3935 ($ (-1170) (-434) |#2|)))) (-847) (-430 |#1|)) (T -1100)) 
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 (((-1127 |#1|) (-1128 |#1|) (-1046)) (T -1127)) 
 NIL 
 (-1128 |#1|) 
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 NIL 
 (-1185 |#1| |#2|) 
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 (((-102) . T) ((-611 (-859)) . T) ((-1094) . T)) 
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-NIL 
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 NIL 
 (-1077) 
 NIL 
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 NIL 
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-((-4292 (((-641 (-1076)) $) 34)) (-1374 (($ $) 31)) (-4267 (($ |#2| |#3|) NIL) (($ $ (-1076) |#3|) 28) (($ $ (-641 (-1076)) (-641 |#3|)) 27)) (-1330 (($ $) 14)) (-1345 ((|#2| $) 12)) (-3475 ((|#3| $) 10))) 
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-NIL 
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+(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-768)) . T) ((-25) . T) ((-38 #1=(-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((-38 |#1|) |has| |#1| (-172)) ((-38 $) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-407 (-564)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363)) (|has| |#1| (-172))) ((-131) . T) ((-145) |has| |#1| (-145)) ((-147) |has| |#1| (-147)) ((-614 #1#) -2713 (|has| |#1| (-1035 (-407 (-564)))) (|has| |#1| (-38 (-407 (-564))))) ((-614 (-564)) . T) ((-614 #2=(-1076)) . T) ((-614 |#1|) . T) ((-614 $) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-611 (-859)) . T) ((-172) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363)) (|has| |#1| (-172))) ((-612 (-536)) -12 (|has| (-1076) (-612 (-536))) (|has| |#1| (-612 (-536)))) ((-612 (-889 (-379))) -12 (|has| (-1076) (-612 (-889 (-379)))) (|has| |#1| (-612 (-889 (-379))))) ((-612 (-889 (-564))) -12 (|has| (-1076) (-612 (-889 (-564)))) (|has| |#1| (-612 (-889 (-564))))) ((-231 |#1|) . T) ((-233) . T) ((-286 (-407 $) (-407 $)) |has| |#1| (-556)) ((-286 |#1| |#1|) . T) ((-286 $ $) . T) ((-290) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-307) |has| |#1| (-363)) ((-309 $) . T) ((-326 |#1| #0#) . T) ((-377 |#1|) . T) ((-411 |#1|) . T) ((-452) -2713 (|has| |#1| (-906)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-514 #2# |#1|) . T) ((-514 #2# $) . T) ((-514 $ $) . T) ((-556) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-644 #1#) |has| |#1| (-38 (-407 (-564)))) ((-644 |#1|) . T) ((-644 $) . T) ((-637 (-564)) |has| |#1| (-637 (-564))) ((-637 |#1|) . T) ((-714 #1#) |has| |#1| (-38 (-407 (-564)))) ((-714 |#1|) |has| |#1| (-172)) ((-714 $) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363))) ((-723) . T) ((-847) |has| |#1| (-847)) ((-897 #2#) . T) ((-897 (-1170)) |has| |#1| (-897 (-1170))) ((-883 (-379)) -12 (|has| (-1076) (-883 (-379))) (|has| |#1| (-883 (-379)))) ((-883 (-564)) -12 (|has| (-1076) (-883 (-564))) (|has| |#1| (-883 (-564)))) ((-946 |#1| #0# #2#) . T) ((-906) |has| |#1| (-906)) ((-917) |has| |#1| (-363)) ((-1035 (-407 (-564))) |has| |#1| (-1035 (-407 (-564)))) ((-1035 (-564)) |has| |#1| (-1035 (-564))) ((-1035 #2#) . T) ((-1035 |#1|) . T) ((-1052 #1#) |has| |#1| (-38 (-407 (-564)))) ((-1052 |#1|) . T) ((-1052 $) -2713 (|has| |#1| (-906)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-363)) (|has| |#1| (-172))) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T) ((-1145) |has| |#1| (-1145)) ((-1213) |has| |#1| (-906))) 
+((-4153 (((-641 (-1076)) $) 34)) (-4316 (($ $) 31)) (-4132 (($ |#2| |#3|) NIL) (($ $ (-1076) |#3|) 28) (($ $ (-641 (-1076)) (-641 |#3|)) 27)) (-4280 (($ $) 14)) (-4292 ((|#2| $) 12)) (-4341 ((|#3| $) 10))) 
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+NIL 
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 (((-1237 |#1| |#2|) (-140) (-1046) (-789)) (T -1237)) 
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-(((-21) . T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((-38 |#1|) |has| |#1| (-172)) ((-38 $) |has| |#1| (-556)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-407 (-564)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -4012 (|has| |#1| (-556)) (|has| |#1| (-172))) ((-131) . T) ((-145) |has| |#1| (-145)) ((-147) |has| |#1| (-147)) ((-614 #0#) |has| |#1| (-38 (-407 (-564)))) ((-614 (-564)) . T) ((-614 |#1|) |has| |#1| (-172)) ((-614 $) |has| |#1| (-556)) ((-611 (-859)) . T) ((-172) -4012 (|has| |#1| (-556)) (|has| |#1| (-172))) ((-233) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-286 $ $) |has| |#2| (-1106)) ((-290) |has| |#1| (-556)) ((-556) |has| |#1| (-556)) ((-644 #0#) |has| |#1| (-38 (-407 (-564)))) ((-644 |#1|) . T) ((-644 $) . T) ((-714 #0#) |has| |#1| (-38 (-407 (-564)))) ((-714 |#1|) |has| |#1| (-172)) ((-714 $) |has| |#1| (-556)) ((-723) . T) ((-897 (-1170)) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-897 (-1170)))) ((-970 |#1| |#2| (-1076)) . T) ((-1052 #0#) |has| |#1| (-38 (-407 (-564)))) ((-1052 |#1|) . T) ((-1052 $) -4012 (|has| |#1| (-556)) (|has| |#1| (-172))) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T)) 
-((-1328 ((|#2| |#2|) 12)) (-1592 (((-418 |#2|) |#2|) 14)) (-1506 (((-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-564))) (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-564)))) 30))) 
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-(-10 -7 (-15 -2313 ((-1244 |#2| |#4| |#6|) (-1 |#2| |#1|) (-1244 |#1| |#3| |#5|)))) 
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 NIL 
 (((-1254) (-140)) (T -1254)) 
 NIL 
-(-13 (-10 -7 (-6 -2408))) 
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 NIL 
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 (((-1273 |#1|) (-140) (-1046)) (T -1273)) 
 NIL 
 (-13 (-1046) (-111 |t#1| |t#1|) (-614 |t#1|) (-10 -7 (IF (|has| |t#1| (-172)) (-6 (-38 |t#1|)) |%noBranch|))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) |has| |#1| (-172)) ((-102) . T) ((-111 |#1| |#1|) . T) ((-131) . T) ((-614 (-564)) . T) ((-614 |#1|) . T) ((-611 (-859)) . T) ((-644 |#1|) . T) ((-644 $) . T) ((-714 |#1|) |has| |#1| (-172)) ((-723) . T) ((-1052 |#1|) . T) ((-1046) . T) ((-1053) . T) ((-1106) . T) ((-1094) . T)) 
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 (((-1274 |#1| |#2|) (-13 (-382 |#2| (-816 |#1|)) (-1280 |#1| |#2|)) (-847) (-1046)) (T -1274)) 
 NIL 
 (-13 (-382 |#2| (-816 |#1|)) (-1280 |#1| |#2|)) 
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 (((-1287 |#1|) (-13 (-172) (-368) (-612 (-564)) (-1145)) (-918)) (T -1287)) 
 NIL 
 (-13 (-172) (-368) (-612 (-564)) (-1145)) 
@@ -5306,4 +5306,4 @@ NIL
 NIL 
 NIL 
 NIL 
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3149074 "WEIER" 3149853 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1266 3147332 3147756 3147798 "VSPACE" 3147934 NIL VSPACE (NIL T) -9 NIL 3148008 NIL) (-1265 3147170 3147197 3147288 "VSPACE-" 3147293 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1264 3146978 3147021 3147089 "VOID" 3147124 T VOID (NIL) -8 NIL NIL NIL) (-1263 3145114 3145473 3145879 "VIEW" 3146594 T VIEW (NIL) -7 NIL NIL NIL) (-1262 3141538 3142177 3142914 "VIEWDEF" 3144399 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1261 3130869 3133086 3135259 "VIEW3D" 3139387 T VIEW3D (NIL) -8 NIL NIL NIL) (-1260 3123147 3124780 3126359 "VIEW2D" 3129312 T VIEW2D (NIL) -8 NIL NIL NIL) (-1259 3118549 3122917 3123009 "VECTOR" 3123090 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1258 3117126 3117385 3117703 "VECTOR2" 3118279 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1257 3110653 3114910 3114953 "VECTCAT" 3115946 NIL VECTCAT (NIL T) -9 NIL 3116532 NIL) (-1256 3109667 3109921 3110311 "VECTCAT-" 3110316 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1255 3109148 3109318 3109438 "VARIABLE" 3109582 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1254 3109081 3109086 3109116 "UTYPE" 3109121 T UTYPE (NIL) -9 NIL NIL NIL) (-1253 3107911 3108065 3108327 "UTSODETL" 3108907 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1252 3105351 3105811 3106335 "UTSODE" 3107452 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1251 3097215 3102977 3103466 "UTS" 3104920 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3088450 3093782 3093825 "UTSCAT" 3094937 NIL UTSCAT (NIL T) -9 NIL 3095694 NIL) (-1249 3085798 3086520 3087509 "UTSCAT-" 3087514 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1248 3085425 3085468 3085601 "UTS2" 3085749 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1247 3079698 3082263 3082306 "URAGG" 3084376 NIL URAGG (NIL T) -9 NIL 3085099 NIL) (-1246 3076637 3077500 3078623 "URAGG-" 3078628 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1245 3072353 3075251 3075723 "UPXSSING" 3076301 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1244 3064446 3071600 3071873 "UPXS" 3072138 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1243 3057546 3064350 3064422 "UPXSCONS" 3064427 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1242 3047783 3054541 3054603 "UPXSCCA" 3055177 NIL UPXSCCA (NIL T T) -9 NIL 3055410 NIL) (-1241 3047421 3047506 3047680 "UPXSCCA-" 3047685 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1240 3037511 3044042 3044085 "UPXSCAT" 3044733 NIL UPXSCAT (NIL T) -9 NIL 3045341 NIL) (-1239 3036941 3037020 3037199 "UPXS2" 3037426 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1238 3035595 3035848 3036199 "UPSQFREE" 3036684 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1237 3029375 3032397 3032452 "UPSCAT" 3033613 NIL UPSCAT (NIL T T) -9 NIL 3034387 NIL) (-1236 3028579 3028786 3029113 "UPSCAT-" 3029118 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1235 3014421 3022427 3022470 "UPOLYC" 3024571 NIL UPOLYC (NIL T) -9 NIL 3025792 NIL) (-1234 3005749 3008175 3011322 "UPOLYC-" 3011327 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1233 3005376 3005419 3005552 "UPOLYC2" 3005700 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1232 2996942 3005059 3005188 "UP" 3005295 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1231 2996281 2996388 2996552 "UPMP" 2996831 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1230 2995834 2995915 2996054 "UPDIVP" 2996194 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1229 2994402 2994651 2994967 "UPDECOMP" 2995583 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1228 2993637 2993749 2993934 "UPCDEN" 2994286 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1227 2993156 2993225 2993374 "UP2" 2993562 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1226 2991671 2992360 2992637 "UNISEG" 2992914 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1225 2990886 2991013 2991218 "UNISEG2" 2991514 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1224 2989946 2990126 2990352 "UNIFACT" 2990702 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1223 2973905 2989123 2989374 "ULS" 2989753 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1222 2961931 2973809 2973881 "ULSCONS" 2973886 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1221 2944539 2956489 2956551 "ULSCCAT" 2957189 NIL ULSCCAT (NIL T T) -9 NIL 2957477 NIL) (-1220 2943589 2943834 2944222 "ULSCCAT-" 2944227 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1219 2933456 2939901 2939944 "ULSCAT" 2940807 NIL ULSCAT (NIL T) -9 NIL 2941537 NIL) (-1218 2932886 2932965 2933144 "ULS2" 2933371 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1217 2932003 2932486 2932593 "UINT8" 2932704 T UINT8 (NIL) -8 NIL NIL 2932789) (-1216 2931119 2931602 2931709 "UINT64" 2931820 T UINT64 (NIL) -8 NIL NIL 2931905) (-1215 2930235 2930718 2930825 "UINT32" 2930936 T UINT32 (NIL) -8 NIL NIL 2931021) (-1214 2929351 2929834 2929941 "UINT16" 2930052 T UINT16 (NIL) -8 NIL NIL 2930137) (-1213 2927746 2928677 2928707 "UFD" 2928919 T UFD (NIL) -9 NIL 2929033 NIL) (-1212 2927540 2927586 2927681 "UFD-" 2927686 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1211 2926622 2926805 2927021 "UDVO" 2927346 T UDVO (NIL) -7 NIL NIL NIL) (-1210 2924438 2924847 2925318 "UDPO" 2926186 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1209 2924371 2924376 2924406 "TYPE" 2924411 T TYPE (NIL) -9 NIL NIL NIL) (-1208 2924158 2924326 2924357 "TYPEAST" 2924362 T TYPEAST (NIL) -8 NIL NIL NIL) (-1207 2923129 2923331 2923571 "TWOFACT" 2923952 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1206 2922200 2922538 2922773 "TUPLE" 2922929 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1205 2919891 2920410 2920949 "TUBETOOL" 2921683 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1204 2918740 2918945 2919186 "TUBE" 2919684 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1203 2913496 2917712 2917995 "TS" 2918492 NIL TS (NIL T) -8 NIL NIL NIL) (-1202 2902163 2906255 2906352 "TSETCAT" 2911621 NIL TSETCAT (NIL T T T T) -9 NIL 2913152 NIL) (-1201 2896895 2898495 2900386 "TSETCAT-" 2900391 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1200 2891157 2892004 2892946 "TRMANIP" 2896031 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1199 2890598 2890661 2890824 "TRIMAT" 2891089 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1198 2888394 2888631 2888995 "TRIGMNIP" 2890347 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1197 2887914 2888027 2888057 "TRIGCAT" 2888270 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1196 2887583 2887662 2887803 "TRIGCAT-" 2887808 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1195 2884476 2886441 2886722 "TREE" 2887337 NIL TREE (NIL T) -8 NIL NIL NIL) (-1194 2883750 2884278 2884308 "TRANFUN" 2884343 T TRANFUN (NIL) -9 NIL 2884409 NIL) (-1193 2883029 2883220 2883500 "TRANFUN-" 2883505 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1192 2882833 2882865 2882926 "TOPSP" 2882990 T TOPSP (NIL) -7 NIL NIL NIL) (-1191 2882181 2882296 2882450 "TOOLSIGN" 2882714 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1190 2880842 2881358 2881597 "TEXTFILE" 2881964 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1189 2878781 2879295 2879724 "TEX" 2880435 T TEX (NIL) -8 NIL NIL NIL) (-1188 2878562 2878593 2878665 "TEX1" 2878744 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1187 2878210 2878273 2878363 "TEMUTL" 2878494 T TEMUTL (NIL) -7 NIL NIL NIL) (-1186 2876364 2876644 2876969 "TBCMPPK" 2877933 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1185 2868252 2874524 2874580 "TBAGG" 2874980 NIL TBAGG (NIL T T) -9 NIL 2875191 NIL) (-1184 2863322 2864810 2866564 "TBAGG-" 2866569 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1183 2862706 2862813 2862958 "TANEXP" 2863211 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1182 2856207 2862563 2862656 "TABLE" 2862661 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1181 2855619 2855718 2855856 "TABLEAU" 2856104 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1180 2850227 2851447 2852695 "TABLBUMP" 2854405 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1179 2849449 2849596 2849777 "SYSTEM" 2850068 T SYSTEM (NIL) -8 NIL NIL NIL) (-1178 2845908 2846607 2847390 "SYSSOLP" 2848700 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1177 2844942 2845420 2845539 "SYSNNI" 2845725 NIL SYSNNI (NIL NIL) -8 NIL NIL 2845810) (-1176 2844239 2844671 2844750 "SYSINT" 2844810 NIL SYSINT (NIL NIL) -8 NIL NIL 2844855) (-1175 2840598 2841517 2842227 "SYNTAX" 2843551 T SYNTAX (NIL) -8 NIL NIL NIL) (-1174 2837756 2838358 2838990 "SYMTAB" 2839988 T SYMTAB (NIL) -8 NIL NIL NIL) (-1173 2833005 2833907 2834890 "SYMS" 2836795 T SYMS (NIL) -8 NIL NIL NIL) (-1172 2830267 2832463 2832693 "SYMPOLY" 2832810 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1171 2829784 2829859 2829982 "SYMFUNC" 2830179 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1170 2825830 2827096 2827909 "SYMBOL" 2828993 T SYMBOL (NIL) -8 NIL NIL NIL) (-1169 2819369 2821058 2822778 "SWITCH" 2824132 T SWITCH (NIL) -8 NIL NIL NIL) (-1168 2812630 2818190 2818493 "SUTS" 2819124 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1167 2804723 2811877 2812150 "SUPXS" 2812415 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1166 2796238 2804341 2804467 "SUP" 2804632 NIL SUP (NIL T) -8 NIL NIL NIL) (-1165 2795397 2795524 2795741 "SUPFRACF" 2796106 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1164 2795018 2795077 2795190 "SUP2" 2795332 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1163 2793431 2793705 2794068 "SUMRF" 2794717 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1162 2792745 2792811 2793010 "SUMFS" 2793352 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1161 2776739 2791922 2792173 "SULS" 2792552 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1160 2776368 2776561 2776631 "SUCHTAST" 2776691 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1159 2775690 2775893 2776033 "SUCH" 2776276 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1158 2769584 2770596 2771555 "SUBSPACE" 2774778 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1157 2769014 2769104 2769268 "SUBRESP" 2769472 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1156 2762379 2763679 2764990 "STTF" 2767750 NIL STTF (NIL T) -7 NIL NIL NIL) (-1155 2756552 2757672 2758819 "STTFNC" 2761279 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1154 2747863 2749734 2751528 "STTAYLOR" 2754793 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1153 2741107 2747727 2747810 "STRTBL" 2747815 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1152 2736498 2741062 2741093 "STRING" 2741098 T STRING (NIL) -8 NIL NIL NIL) (-1151 2731386 2735871 2735901 "STRICAT" 2735960 T STRICAT (NIL) -9 NIL 2736022 NIL) (-1150 2724189 2729005 2729616 "STREAM" 2730810 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1149 2723699 2723776 2723920 "STREAM3" 2724106 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1148 2722681 2722864 2723099 "STREAM2" 2723512 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1147 2722369 2722421 2722514 "STREAM1" 2722623 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1146 2721385 2721566 2721797 "STINPROD" 2722185 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1145 2720963 2721147 2721177 "STEP" 2721257 T STEP (NIL) -9 NIL 2721335 NIL) (-1144 2714506 2720862 2720939 "STBL" 2720944 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1143 2709680 2713727 2713770 "STAGG" 2713923 NIL STAGG (NIL T) -9 NIL 2714012 NIL) (-1142 2707382 2707984 2708856 "STAGG-" 2708861 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1141 2705577 2707152 2707244 "STACK" 2707325 NIL STACK (NIL T) -8 NIL NIL NIL) (-1140 2698300 2703718 2704174 "SREGSET" 2705207 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1139 2690725 2692094 2693607 "SRDCMPK" 2696906 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2683692 2688165 2688195 "SRAGG" 2689498 T SRAGG (NIL) -9 NIL 2690106 NIL) (-1137 2682709 2682964 2683343 "SRAGG-" 2683348 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1136 2677196 2681656 2682077 "SQMATRIX" 2682335 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1135 2670943 2673914 2674641 "SPLTREE" 2676541 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1134 2666933 2667599 2668245 "SPLNODE" 2670369 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1133 2665980 2666213 2666243 "SPFCAT" 2666687 T SPFCAT (NIL) -9 NIL NIL NIL) (-1132 2664717 2664927 2665191 "SPECOUT" 2665738 T SPECOUT (NIL) -7 NIL NIL NIL) (-1131 2656369 2658113 2658143 "SPADXPT" 2662535 T SPADXPT (NIL) -9 NIL 2664569 NIL) (-1130 2656130 2656170 2656239 "SPADPRSR" 2656322 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1129 2654312 2656085 2656116 "SPADAST" 2656121 T SPADAST (NIL) -8 NIL NIL NIL) (-1128 2646283 2648030 2648073 "SPACEC" 2652446 NIL SPACEC (NIL T) -9 NIL 2654262 NIL) (-1127 2644440 2646215 2646264 "SPACE3" 2646269 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1126 2643192 2643363 2643654 "SORTPAK" 2644245 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1125 2641242 2641545 2641964 "SOLVETRA" 2642856 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1124 2640253 2640475 2640749 "SOLVESER" 2641015 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1123 2635464 2636354 2637356 "SOLVERAD" 2639305 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1122 2631279 2631888 2632617 "SOLVEFOR" 2634831 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1121 2625576 2630628 2630725 "SNTSCAT" 2630730 NIL SNTSCAT (NIL T T T T) -9 NIL 2630800 NIL) (-1120 2619709 2623899 2624290 "SMTS" 2625266 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1119 2614149 2619597 2619674 "SMP" 2619679 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1118 2612308 2612609 2613007 "SMITH" 2613846 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1117 2605195 2609359 2609462 "SMATCAT" 2610813 NIL SMATCAT (NIL NIL T T T) -9 NIL 2611363 NIL) (-1116 2602135 2602958 2604136 "SMATCAT-" 2604141 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1115 2599848 2601371 2601414 "SKAGG" 2601675 NIL SKAGG (NIL T) -9 NIL 2601810 NIL) (-1114 2596183 2599264 2599459 "SINT" 2599646 T SINT (NIL) -8 NIL NIL 2599819) (-1113 2595955 2595993 2596059 "SIMPAN" 2596139 T SIMPAN (NIL) -7 NIL NIL NIL) (-1112 2595261 2595490 2595630 "SIG" 2595837 T SIG (NIL) -8 NIL NIL NIL) (-1111 2594099 2594320 2594595 "SIGNRF" 2595020 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1110 2592904 2593055 2593346 "SIGNEF" 2593928 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1109 2592237 2592487 2592611 "SIGAST" 2592802 T SIGAST (NIL) -8 NIL NIL NIL) (-1108 2589927 2590381 2590887 "SHP" 2591778 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1107 2583827 2589828 2589904 "SHDP" 2589909 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1106 2583426 2583592 2583622 "SGROUP" 2583715 T SGROUP (NIL) -9 NIL 2583777 NIL) (-1105 2583284 2583310 2583383 "SGROUP-" 2583388 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1104 2580119 2580817 2581540 "SGCF" 2582583 T SGCF (NIL) -7 NIL NIL NIL) (-1103 2574514 2579566 2579663 "SFRTCAT" 2579668 NIL SFRTCAT (NIL T T T T) -9 NIL 2579707 NIL) (-1102 2567935 2568953 2570089 "SFRGCD" 2573497 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2561062 2562134 2563320 "SFQCMPK" 2566868 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2560684 2560773 2560883 "SFORT" 2561003 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1099 2559829 2560524 2560645 "SEXOF" 2560650 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1098 2558963 2559710 2559778 "SEX" 2559783 T SEX (NIL) -8 NIL NIL NIL) (-1097 2554502 2555191 2555286 "SEXCAT" 2558223 NIL SEXCAT (NIL T T T T T) -9 NIL 2558801 NIL) (-1096 2551682 2554436 2554484 "SET" 2554489 NIL SET (NIL T) -8 NIL NIL NIL) (-1095 2549933 2550395 2550700 "SETMN" 2551423 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1094 2549539 2549665 2549695 "SETCAT" 2549812 T SETCAT (NIL) -9 NIL 2549897 NIL) (-1093 2549319 2549371 2549470 "SETCAT-" 2549475 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1092 2545706 2547780 2547823 "SETAGG" 2548693 NIL SETAGG (NIL T) -9 NIL 2549033 NIL) (-1091 2545164 2545280 2545517 "SETAGG-" 2545522 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1090 2544634 2544860 2544961 "SEQAST" 2545085 T SEQAST (NIL) -8 NIL NIL NIL) (-1089 2543833 2544127 2544188 "SEGXCAT" 2544474 NIL SEGXCAT (NIL T T) -9 NIL 2544594 NIL) (-1088 2542887 2543499 2543681 "SEG" 2543686 NIL SEG (NIL T) -8 NIL NIL NIL) (-1087 2541866 2542080 2542123 "SEGCAT" 2542645 NIL SEGCAT (NIL T) -9 NIL 2542866 NIL) (-1086 2540915 2541245 2541445 "SEGBIND" 2541701 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1085 2540536 2540595 2540708 "SEGBIND2" 2540850 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1084 2540136 2540337 2540414 "SEGAST" 2540481 T SEGAST (NIL) -8 NIL NIL NIL) (-1083 2539355 2539481 2539685 "SEG2" 2539980 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1082 2538792 2539290 2539337 "SDVAR" 2539342 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1081 2531074 2538562 2538692 "SDPOL" 2538697 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1080 2529667 2529933 2530252 "SCPKG" 2530789 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1079 2528827 2529000 2529193 "SCOPE" 2529496 T SCOPE (NIL) -8 NIL NIL NIL) (-1078 2528047 2528181 2528360 "SCACHE" 2528682 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1077 2527719 2527879 2527909 "SASTCAT" 2527914 T SASTCAT (NIL) -9 NIL 2527927 NIL) (-1076 2527233 2527554 2527630 "SAOS" 2527665 T SAOS (NIL) -8 NIL NIL NIL) (-1075 2526798 2526833 2527006 "SAERFFC" 2527192 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1074 2520764 2526695 2526775 "SAE" 2526780 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1073 2520357 2520392 2520551 "SAEFACT" 2520723 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1072 2518678 2518992 2519393 "RURPK" 2520023 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1071 2517314 2517593 2517905 "RULESET" 2518512 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1070 2514501 2515004 2515469 "RULE" 2516995 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1069 2514140 2514295 2514378 "RULECOLD" 2514453 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1068 2513638 2513857 2513951 "RSTRCAST" 2514068 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1067 2508486 2509281 2510201 "RSETGCD" 2512837 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1066 2497743 2502795 2502892 "RSETCAT" 2507011 NIL RSETCAT (NIL T T T T) -9 NIL 2508108 NIL) (-1065 2495670 2496209 2497033 "RSETCAT-" 2497038 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1064 2488055 2489432 2490952 "RSDCMPK" 2494269 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1063 2486060 2486501 2486575 "RRCC" 2487661 NIL RRCC (NIL T T) -9 NIL 2488005 NIL) (-1062 2485411 2485585 2485864 "RRCC-" 2485869 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1061 2484881 2485107 2485208 "RPTAST" 2485332 T RPTAST (NIL) -8 NIL NIL NIL) (-1060 2458879 2468474 2468541 "RPOLCAT" 2479205 NIL RPOLCAT (NIL T T T) -9 NIL 2482364 NIL) (-1059 2450377 2452717 2455839 "RPOLCAT-" 2455844 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1058 2441424 2448588 2449070 "ROUTINE" 2449917 T ROUTINE (NIL) -8 NIL NIL NIL) (-1057 2438249 2441050 2441190 "ROMAN" 2441306 T ROMAN (NIL) -8 NIL NIL NIL) (-1056 2436520 2437109 2437369 "ROIRC" 2438054 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1055 2432905 2435156 2435186 "RNS" 2435490 T RNS (NIL) -9 NIL 2435763 NIL) (-1054 2431414 2431797 2432331 "RNS-" 2432406 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1053 2430863 2431245 2431275 "RNG" 2431280 T RNG (NIL) -9 NIL 2431301 NIL) (-1052 2430255 2430617 2430660 "RMODULE" 2430722 NIL RMODULE (NIL T) -9 NIL 2430764 NIL) (-1051 2429091 2429185 2429521 "RMCAT2" 2430156 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1050 2425968 2428437 2428734 "RMATRIX" 2428853 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1049 2418910 2421144 2421259 "RMATCAT" 2424618 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2425600 NIL) (-1048 2418285 2418432 2418739 "RMATCAT-" 2418744 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1047 2417852 2417927 2418055 "RINTERP" 2418204 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1046 2416971 2417499 2417529 "RING" 2417585 T RING (NIL) -9 NIL 2417677 NIL) (-1045 2416763 2416807 2416904 "RING-" 2416909 NIL RING- (NIL T) -8 NIL NIL NIL) (-1044 2415604 2415841 2416099 "RIDIST" 2416527 T RIDIST (NIL) -7 NIL NIL NIL) (-1043 2406920 2415072 2415278 "RGCHAIN" 2415452 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1042 2406296 2406676 2406717 "RGBCSPC" 2406775 NIL RGBCSPC (NIL T) -9 NIL 2406827 NIL) (-1041 2405480 2405835 2405876 "RGBCMDL" 2406108 NIL RGBCMDL (NIL T) -9 NIL 2406222 NIL) (-1040 2402474 2403088 2403758 "RF" 2404844 NIL RF (NIL T) -7 NIL NIL NIL) (-1039 2402120 2402183 2402286 "RFFACTOR" 2402405 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1038 2401845 2401880 2401977 "RFFACT" 2402079 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1037 2399962 2400326 2400708 "RFDIST" 2401485 T RFDIST (NIL) -7 NIL NIL NIL) (-1036 2399415 2399507 2399670 "RETSOL" 2399864 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1035 2399051 2399131 2399174 "RETRACT" 2399307 NIL RETRACT (NIL T) -9 NIL 2399394 NIL) (-1034 2398900 2398925 2399012 "RETRACT-" 2399017 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1033 2398529 2398722 2398792 "RETAST" 2398852 T RETAST (NIL) -8 NIL NIL NIL) (-1032 2391383 2398182 2398309 "RESULT" 2398424 T RESULT (NIL) -8 NIL NIL NIL) (-1031 2390001 2390652 2390851 "RESRING" 2391286 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1030 2389637 2389686 2389784 "RESLATC" 2389938 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1029 2389342 2389377 2389484 "REPSQ" 2389596 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1028 2386764 2387344 2387946 "REP" 2388762 T REP (NIL) -7 NIL NIL NIL) (-1027 2386461 2386496 2386607 "REPDB" 2386723 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1026 2380361 2381750 2382973 "REP2" 2385273 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1025 2376738 2377419 2378227 "REP1" 2379588 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1024 2369461 2374879 2375335 "REGSET" 2376368 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1023 2368274 2368609 2368859 "REF" 2369246 NIL REF (NIL T) -8 NIL NIL NIL) (-1022 2367651 2367754 2367921 "REDORDER" 2368158 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1021 2363646 2366864 2367091 "RECLOS" 2367479 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1020 2362698 2362879 2363094 "REALSOLV" 2363453 T REALSOLV (NIL) -7 NIL NIL NIL) (-1019 2362544 2362585 2362615 "REAL" 2362620 T REAL (NIL) -9 NIL 2362655 NIL) (-1018 2359027 2359829 2360713 "REAL0Q" 2361709 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1017 2354628 2355616 2356677 "REAL0" 2358008 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1016 2354126 2354345 2354439 "RDUCEAST" 2354556 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1015 2353531 2353603 2353810 "RDIV" 2354048 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1014 2352599 2352773 2352986 "RDIST" 2353353 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1013 2351196 2351483 2351855 "RDETRS" 2352307 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1012 2349008 2349462 2350000 "RDETR" 2350738 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1011 2347619 2347897 2348301 "RDEEFS" 2348724 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1010 2346114 2346420 2346852 "RDEEF" 2347307 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1009 2340367 2343250 2343280 "RCFIELD" 2344575 T RCFIELD (NIL) -9 NIL 2345305 NIL) (-1008 2338431 2338935 2339631 "RCFIELD-" 2339706 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1007 2334747 2336532 2336575 "RCAGG" 2337659 NIL RCAGG (NIL T) -9 NIL 2338124 NIL) (-1006 2334375 2334469 2334632 "RCAGG-" 2334637 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1005 2333710 2333822 2333987 "RATRET" 2334259 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1004 2333263 2333330 2333451 "RATFACT" 2333638 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1003 2332571 2332691 2332843 "RANDSRC" 2333133 T RANDSRC (NIL) -7 NIL NIL NIL) (-1002 2332305 2332349 2332422 "RADUTIL" 2332520 T RADUTIL (NIL) -7 NIL NIL NIL) (-1001 2325448 2331138 2331448 "RADIX" 2332029 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1000 2317094 2325290 2325420 "RADFF" 2325425 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-999 2316746 2316821 2316849 "RADCAT" 2317006 T RADCAT (NIL) -9 NIL NIL NIL) (-998 2316531 2316579 2316676 "RADCAT-" 2316681 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-997 2314682 2316306 2316395 "QUEUE" 2316475 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-996 2311250 2314619 2314664 "QUAT" 2314669 NIL QUAT (NIL T) -8 NIL NIL NIL) (-995 2310888 2310931 2311058 "QUATCT2" 2311201 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-994 2304627 2307937 2307977 "QUATCAT" 2308757 NIL QUATCAT (NIL T) -9 NIL 2309523 NIL) (-993 2300771 2301808 2303195 "QUATCAT-" 2303289 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-992 2298291 2299855 2299896 "QUAGG" 2300271 NIL QUAGG (NIL T) -9 NIL 2300446 NIL) (-991 2297923 2298116 2298184 "QQUTAST" 2298243 T QQUTAST (NIL) -8 NIL NIL NIL) (-990 2296848 2297321 2297493 "QFORM" 2297795 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-989 2288052 2293265 2293305 "QFCAT" 2293963 NIL QFCAT (NIL T) -9 NIL 2294964 NIL) (-988 2283624 2284825 2286416 "QFCAT-" 2286510 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-987 2283262 2283305 2283432 "QFCAT2" 2283575 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-986 2282722 2282832 2282962 "QEQUAT" 2283152 T QEQUAT (NIL) -8 NIL NIL NIL) (-985 2275869 2276941 2278125 "QCMPACK" 2281655 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-984 2273445 2273866 2274294 "QALGSET" 2275524 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-983 2272690 2272864 2273096 "QALGSET2" 2273265 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-982 2271380 2271604 2271921 "PWFFINTB" 2272463 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-981 2269562 2269730 2270084 "PUSHVAR" 2271194 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-980 2265480 2266534 2266575 "PTRANFN" 2268459 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-979 2263882 2264173 2264495 "PTPACK" 2265191 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-978 2263514 2263571 2263680 "PTFUNC2" 2263819 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-977 2258041 2262386 2262427 "PTCAT" 2262723 NIL PTCAT (NIL T) -9 NIL 2262876 NIL) (-976 2257699 2257734 2257858 "PSQFR" 2258000 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-975 2256294 2256592 2256926 "PSEUDLIN" 2257397 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-974 2243057 2245428 2247752 "PSETPK" 2254054 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-973 2236101 2238815 2238911 "PSETCAT" 2241932 NIL PSETCAT (NIL T T T T) -9 NIL 2242746 NIL) (-972 2233937 2234571 2235392 "PSETCAT-" 2235397 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-971 2233286 2233451 2233479 "PSCURVE" 2233747 T PSCURVE (NIL) -9 NIL 2233914 NIL) (-970 2229634 2231124 2231189 "PSCAT" 2232033 NIL PSCAT (NIL T T T) -9 NIL 2232273 NIL) (-969 2228697 2228913 2229313 "PSCAT-" 2229318 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-968 2227429 2228062 2228267 "PRTITION" 2228512 T PRTITION (NIL) -8 NIL NIL NIL) (-967 2226931 2227150 2227242 "PRTDAST" 2227357 T PRTDAST (NIL) -8 NIL NIL NIL) (-966 2216021 2218235 2220423 "PRS" 2224793 NIL PRS (NIL T T) -7 NIL NIL NIL) (-965 2213879 2215371 2215411 "PRQAGG" 2215594 NIL PRQAGG (NIL T) -9 NIL 2215696 NIL) (-964 2213265 2213494 2213522 "PROPLOG" 2213707 T PROPLOG (NIL) -9 NIL 2213829 NIL) (-963 2210435 2211079 2211543 "PROPFRML" 2212833 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-962 2209895 2210005 2210135 "PROPERTY" 2210325 T PROPERTY (NIL) -8 NIL NIL NIL) (-961 2203980 2208061 2208881 "PRODUCT" 2209121 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-960 2201285 2203438 2203672 "PR" 2203791 NIL PR (NIL T T) -8 NIL NIL NIL) (-959 2201081 2201113 2201172 "PRINT" 2201246 T PRINT (NIL) -7 NIL NIL NIL) (-958 2200421 2200538 2200690 "PRIMES" 2200961 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-957 2198486 2198887 2199353 "PRIMELT" 2200000 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-956 2198215 2198264 2198292 "PRIMCAT" 2198416 T PRIMCAT (NIL) -9 NIL NIL NIL) (-955 2194378 2198153 2198198 "PRIMARR" 2198203 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-954 2193385 2193563 2193791 "PRIMARR2" 2194196 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-953 2193028 2193084 2193195 "PREASSOC" 2193323 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-952 2192503 2192636 2192664 "PPCURVE" 2192869 T PPCURVE (NIL) -9 NIL 2193005 NIL) (-951 2192125 2192298 2192381 "PORTNUM" 2192440 T PORTNUM (NIL) -8 NIL NIL NIL) (-950 2189484 2189883 2190475 "POLYROOT" 2191706 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-949 2183421 2189088 2189248 "POLY" 2189357 NIL POLY (NIL T) -8 NIL NIL NIL) (-948 2182804 2182862 2183096 "POLYLIFT" 2183357 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-947 2179079 2179528 2180157 "POLYCATQ" 2182349 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-946 2165888 2171254 2171319 "POLYCAT" 2174833 NIL POLYCAT (NIL T T T) -9 NIL 2176761 NIL) (-945 2159337 2161199 2163583 "POLYCAT-" 2163588 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-944 2158924 2158992 2159112 "POLY2UP" 2159263 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-943 2158556 2158613 2158722 "POLY2" 2158861 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-942 2157241 2157480 2157756 "POLUTIL" 2158330 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-941 2155596 2155873 2156204 "POLTOPOL" 2156963 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-940 2151111 2155532 2155578 "POINT" 2155583 NIL POINT (NIL T) -8 NIL NIL NIL) (-939 2149298 2149655 2150030 "PNTHEORY" 2150756 T PNTHEORY (NIL) -7 NIL NIL NIL) (-938 2147717 2148014 2148426 "PMTOOLS" 2148996 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-937 2147310 2147388 2147505 "PMSYM" 2147633 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-936 2146820 2146889 2147063 "PMQFCAT" 2147235 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-935 2146175 2146285 2146441 "PMPRED" 2146697 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-934 2145571 2145657 2145818 "PMPREDFS" 2146076 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-933 2144214 2144422 2144807 "PMPLCAT" 2145333 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-932 2143746 2143825 2143977 "PMLSAGG" 2144129 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-931 2143221 2143297 2143478 "PMKERNEL" 2143664 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-930 2142838 2142913 2143026 "PMINS" 2143140 NIL PMINS (NIL T) -7 NIL NIL NIL) (-929 2142266 2142335 2142551 "PMFS" 2142763 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-928 2141494 2141612 2141817 "PMDOWN" 2142143 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-927 2140657 2140816 2140998 "PMASS" 2141332 T PMASS (NIL) -7 NIL NIL NIL) (-926 2139931 2140042 2140205 "PMASSFS" 2140543 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-925 2139586 2139654 2139748 "PLOTTOOL" 2139857 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-924 2134193 2135397 2136545 "PLOT" 2138458 T PLOT (NIL) -8 NIL NIL NIL) (-923 2129997 2131041 2131962 "PLOT3D" 2133292 T PLOT3D (NIL) -8 NIL NIL NIL) (-922 2128909 2129086 2129321 "PLOT1" 2129801 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-921 2104298 2108975 2113826 "PLEQN" 2124175 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-920 2103616 2103738 2103918 "PINTERP" 2104163 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-919 2103309 2103356 2103459 "PINTERPA" 2103563 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-918 2102557 2103078 2103165 "PI" 2103205 T PI (NIL) -8 NIL NIL 2103272) (-917 2100946 2101895 2101923 "PID" 2102105 T PID (NIL) -9 NIL 2102239 NIL) (-916 2100671 2100708 2100796 "PICOERCE" 2100903 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-915 2099991 2100130 2100306 "PGROEB" 2100527 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-914 2095578 2096392 2097297 "PGE" 2099106 T PGE (NIL) -7 NIL NIL NIL) (-913 2093701 2093948 2094314 "PGCD" 2095295 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-912 2093039 2093142 2093303 "PFRPAC" 2093585 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-911 2089707 2091587 2091940 "PFR" 2092718 NIL PFR (NIL T) -8 NIL NIL NIL) (-910 2088096 2088340 2088665 "PFOTOOLS" 2089454 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-909 2086629 2086868 2087219 "PFOQ" 2087853 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-908 2085102 2085314 2085677 "PFO" 2086413 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-907 2081682 2084991 2085060 "PF" 2085065 NIL PF (NIL NIL) -8 NIL NIL NIL) (-906 2079108 2080353 2080381 "PFECAT" 2080966 T PFECAT (NIL) -9 NIL 2081350 NIL) (-905 2078553 2078707 2078921 "PFECAT-" 2078926 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-904 2077156 2077408 2077709 "PFBRU" 2078302 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-903 2075021 2075374 2075806 "PFBR" 2076807 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-902 2070930 2072397 2073073 "PERM" 2074378 NIL PERM (NIL T) -8 NIL NIL NIL) (-901 2066191 2067137 2068007 "PERMGRP" 2070093 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-900 2064323 2065254 2065295 "PERMCAT" 2065741 NIL PERMCAT (NIL T) -9 NIL 2066046 NIL) (-899 2063976 2064017 2064141 "PERMAN" 2064276 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-898 2061512 2063641 2063763 "PENDTREE" 2063887 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-897 2059597 2060339 2060380 "PDRING" 2061037 NIL PDRING (NIL T) -9 NIL 2061323 NIL) (-896 2058700 2058918 2059280 "PDRING-" 2059285 NIL PDRING- (NIL T T) -8 NIL NIL NIL) (-895 2055942 2056693 2057361 "PDEPROB" 2058052 T PDEPROB (NIL) -8 NIL NIL NIL) (-894 2053487 2053991 2054546 "PDEPACK" 2055407 T PDEPACK (NIL) -7 NIL NIL NIL) (-893 2052399 2052589 2052840 "PDECOMP" 2053286 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-892 2050004 2050821 2050849 "PDECAT" 2051636 T PDECAT (NIL) -9 NIL 2052349 NIL) (-891 2049755 2049788 2049878 "PCOMP" 2049965 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-890 2047960 2048556 2048853 "PBWLB" 2049484 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-889 2040460 2042033 2043371 "PATTERN" 2046643 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-888 2040092 2040149 2040258 "PATTERN2" 2040397 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-887 2037849 2038237 2038694 "PATTERN1" 2039681 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-886 2035244 2035798 2036279 "PATRES" 2037414 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-885 2034808 2034875 2035007 "PATRES2" 2035171 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-884 2032691 2033096 2033503 "PATMATCH" 2034475 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-883 2032227 2032410 2032451 "PATMAB" 2032558 NIL PATMAB (NIL T) -9 NIL 2032641 NIL) (-882 2030772 2031081 2031339 "PATLRES" 2032032 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-881 2030318 2030441 2030482 "PATAB" 2030487 NIL PATAB (NIL T) -9 NIL 2030659 NIL) (-880 2027799 2028331 2028904 "PARTPERM" 2029765 T PARTPERM (NIL) -7 NIL NIL NIL) (-879 2027420 2027483 2027585 "PARSURF" 2027730 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-878 2027052 2027109 2027218 "PARSU2" 2027357 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-877 2026816 2026856 2026923 "PARSER" 2027005 T PARSER (NIL) -7 NIL NIL NIL) (-876 2026437 2026500 2026602 "PARSCURV" 2026747 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-875 2026069 2026126 2026235 "PARSC2" 2026374 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-874 2025708 2025766 2025863 "PARPCURV" 2026005 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-873 2025340 2025397 2025506 "PARPC2" 2025645 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-872 2024860 2024946 2025065 "PAN2EXPR" 2025241 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-871 2023664 2023981 2024209 "PALETTE" 2024652 T PALETTE (NIL) -8 NIL NIL NIL) (-870 2022132 2022669 2023029 "PAIR" 2023350 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-869 2016029 2021391 2021585 "PADICRC" 2021987 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-868 2009285 2015375 2015559 "PADICRAT" 2015877 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-867 2007627 2009222 2009267 "PADIC" 2009272 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-866 2004829 2006367 2006407 "PADICCT" 2006988 NIL PADICCT (NIL NIL) -9 NIL 2007270 NIL) (-865 2003786 2003986 2004254 "PADEPAC" 2004616 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-864 2002998 2003131 2003337 "PADE" 2003648 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-863 2001412 2002206 2002486 "OWP" 2002802 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-862 2000932 2001118 2001215 "OVERSET" 2001335 T OVERSET (NIL) -8 NIL NIL NIL) (-861 2000005 2000537 2000709 "OVAR" 2000800 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-860 1999269 1999390 1999551 "OUT" 1999864 T OUT (NIL) -7 NIL NIL NIL) (-859 1988167 1990378 1992578 "OUTFORM" 1997089 T OUTFORM (NIL) -8 NIL NIL NIL) (-858 1987503 1987764 1987891 "OUTBFILE" 1988060 T OUTBFILE (NIL) -8 NIL NIL NIL) (-857 1986810 1986975 1987003 "OUTBCON" 1987321 T OUTBCON (NIL) -9 NIL 1987487 NIL) (-856 1986411 1986523 1986680 "OUTBCON-" 1986685 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-855 1985818 1986140 1986229 "OSI" 1986342 T OSI (NIL) -8 NIL NIL NIL) (-854 1985374 1985686 1985714 "OSGROUP" 1985719 T OSGROUP (NIL) -9 NIL 1985741 NIL) (-853 1984119 1984346 1984631 "ORTHPOL" 1985121 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-852 1981697 1983954 1984075 "OREUP" 1984080 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-851 1979127 1981388 1981515 "ORESUP" 1981639 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-850 1976655 1977155 1977716 "OREPCTO" 1978616 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-849 1970471 1972646 1972687 "OREPCAT" 1975035 NIL OREPCAT (NIL T) -9 NIL 1976139 NIL) (-848 1967618 1968400 1969458 "OREPCAT-" 1969463 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-847 1966795 1967067 1967095 "ORDSET" 1967404 T ORDSET (NIL) -9 NIL 1967568 NIL) (-846 1966314 1966436 1966629 "ORDSET-" 1966634 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-845 1964940 1965705 1965733 "ORDRING" 1965935 T ORDRING (NIL) -9 NIL 1966060 NIL) (-844 1964585 1964679 1964823 "ORDRING-" 1964828 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-843 1963991 1964428 1964456 "ORDMON" 1964461 T ORDMON (NIL) -9 NIL 1964482 NIL) (-842 1963153 1963300 1963495 "ORDFUNS" 1963840 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-841 1962517 1962910 1962938 "ORDFIN" 1963003 T ORDFIN (NIL) -9 NIL 1963077 NIL) (-840 1959103 1961103 1961512 "ORDCOMP" 1962141 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-839 1958369 1958496 1958682 "ORDCOMP2" 1958963 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-838 1954977 1955860 1956674 "OPTPROB" 1957575 T OPTPROB (NIL) -8 NIL NIL NIL) (-837 1951779 1952418 1953122 "OPTPACK" 1954293 T OPTPACK (NIL) -7 NIL NIL NIL) (-836 1949492 1950232 1950260 "OPTCAT" 1951079 T OPTCAT (NIL) -9 NIL 1951729 NIL) (-835 1948935 1949169 1949274 "OPSIG" 1949407 T OPSIG (NIL) -8 NIL NIL NIL) (-834 1948703 1948742 1948808 "OPQUERY" 1948889 T OPQUERY (NIL) -7 NIL NIL NIL) (-833 1945861 1947014 1947518 "OP" 1948232 NIL OP (NIL T) -8 NIL NIL NIL) (-832 1945396 1945567 1945608 "OPERCAT" 1945743 NIL OPERCAT (NIL T) -9 NIL 1945811 NIL) (-831 1945242 1945269 1945355 "OPERCAT-" 1945360 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-830 1942081 1944039 1944408 "ONECOMP" 1944906 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-829 1941386 1941501 1941675 "ONECOMP2" 1941953 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-828 1940805 1940911 1941041 "OMSERVER" 1941276 T OMSERVER (NIL) -7 NIL NIL NIL) (-827 1937693 1940245 1940285 "OMSAGG" 1940346 NIL OMSAGG (NIL T) -9 NIL 1940410 NIL) (-826 1936316 1936579 1936861 "OMPKG" 1937431 T OMPKG (NIL) -7 NIL NIL NIL) (-825 1935746 1935849 1935877 "OM" 1936176 T OM (NIL) -9 NIL NIL NIL) (-824 1934320 1935295 1935464 "OMLO" 1935627 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-823 1933245 1933392 1933619 "OMEXPR" 1934146 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-822 1932563 1932791 1932927 "OMERR" 1933129 T OMERR (NIL) -8 NIL NIL NIL) (-821 1931741 1931984 1932144 "OMERRK" 1932423 T OMERRK (NIL) -8 NIL NIL NIL) (-820 1931219 1931418 1931526 "OMENC" 1931653 T OMENC (NIL) -8 NIL NIL NIL) (-819 1925114 1926299 1927470 "OMDEV" 1930068 T OMDEV (NIL) -8 NIL NIL NIL) (-818 1924183 1924354 1924548 "OMCONN" 1924940 T OMCONN (NIL) -8 NIL NIL NIL) (-817 1922796 1923746 1923774 "OINTDOM" 1923779 T OINTDOM (NIL) -9 NIL 1923800 NIL) (-816 1918602 1919786 1920502 "OFMONOID" 1922112 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-815 1918040 1918539 1918584 "ODVAR" 1918589 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-814 1915490 1917785 1917940 "ODR" 1917945 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-813 1907826 1915266 1915392 "ODPOL" 1915397 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-812 1901696 1907698 1907803 "ODP" 1907808 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-811 1900462 1900677 1900952 "ODETOOLS" 1901470 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-810 1897429 1898087 1898803 "ODESYS" 1899795 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-809 1892311 1893219 1894244 "ODERTRIC" 1896504 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-808 1891737 1891819 1892013 "ODERED" 1892223 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-807 1888625 1889173 1889850 "ODERAT" 1891160 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-806 1885582 1886049 1886646 "ODEPRRIC" 1888154 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-805 1883552 1884121 1884607 "ODEPROB" 1885116 T ODEPROB (NIL) -8 NIL NIL NIL) (-804 1880072 1880557 1881204 "ODEPRIM" 1883031 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-803 1879321 1879423 1879683 "ODEPAL" 1879964 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-802 1875483 1876274 1877138 "ODEPACK" 1878477 T ODEPACK (NIL) -7 NIL NIL NIL) (-801 1874516 1874623 1874852 "ODEINT" 1875372 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-800 1868617 1870042 1871489 "ODEIFTBL" 1873089 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-799 1863952 1864738 1865697 "ODEEF" 1867776 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-798 1863287 1863376 1863606 "ODECONST" 1863857 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-797 1861438 1862073 1862101 "ODECAT" 1862706 T ODECAT (NIL) -9 NIL 1863237 NIL) (-796 1858337 1861150 1861269 "OCT" 1861351 NIL OCT (NIL T) -8 NIL NIL NIL) (-795 1857975 1858018 1858145 "OCTCT2" 1858288 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-794 1852741 1855149 1855189 "OC" 1856286 NIL OC (NIL T) -9 NIL 1857144 NIL) (-793 1849968 1850716 1851706 "OC-" 1851800 NIL OC- (NIL T T) -8 NIL NIL NIL) (-792 1849346 1849788 1849816 "OCAMON" 1849821 T OCAMON (NIL) -9 NIL 1849842 NIL) (-791 1848903 1849218 1849246 "OASGP" 1849251 T OASGP (NIL) -9 NIL 1849271 NIL) (-790 1848190 1848653 1848681 "OAMONS" 1848721 T OAMONS (NIL) -9 NIL 1848764 NIL) (-789 1847630 1848037 1848065 "OAMON" 1848070 T OAMON (NIL) -9 NIL 1848090 NIL) (-788 1846934 1847426 1847454 "OAGROUP" 1847459 T OAGROUP (NIL) -9 NIL 1847479 NIL) (-787 1846624 1846674 1846762 "NUMTUBE" 1846878 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-786 1840197 1841715 1843251 "NUMQUAD" 1845108 T NUMQUAD (NIL) -7 NIL NIL NIL) (-785 1835953 1836941 1837966 "NUMODE" 1839192 T NUMODE (NIL) -7 NIL NIL NIL) (-784 1833334 1834188 1834216 "NUMINT" 1835139 T NUMINT (NIL) -9 NIL 1835903 NIL) (-783 1832282 1832479 1832697 "NUMFMT" 1833136 T NUMFMT (NIL) -7 NIL NIL NIL) (-782 1818641 1821586 1824118 "NUMERIC" 1829789 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-781 1813038 1818090 1818185 "NTSCAT" 1818190 NIL NTSCAT (NIL T T T T) -9 NIL 1818229 NIL) (-780 1812232 1812397 1812590 "NTPOLFN" 1812877 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-779 1800064 1809057 1809869 "NSUP" 1811453 NIL NSUP (NIL T) -8 NIL NIL NIL) (-778 1799696 1799753 1799862 "NSUP2" 1800001 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-777 1789679 1799470 1799603 "NSMP" 1799608 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-776 1788111 1788412 1788769 "NREP" 1789367 NIL NREP (NIL T) -7 NIL NIL NIL) (-775 1786702 1786954 1787312 "NPCOEF" 1787854 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-774 1785768 1785883 1786099 "NORMRETR" 1786583 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-773 1783809 1784099 1784508 "NORMPK" 1785476 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-772 1783494 1783522 1783646 "NORMMA" 1783775 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-771 1783321 1783451 1783480 "NONE" 1783485 T NONE (NIL) -8 NIL NIL NIL) (-770 1783110 1783139 1783208 "NONE1" 1783285 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-769 1782593 1782655 1782841 "NODE1" 1783042 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-768 1780863 1781687 1781942 "NNI" 1782289 T NNI (NIL) -8 NIL NIL 1782524) (-767 1779283 1779596 1779960 "NLINSOL" 1780531 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-766 1775551 1776519 1777418 "NIPROB" 1778404 T NIPROB (NIL) -8 NIL NIL NIL) (-765 1774308 1774542 1774844 "NFINTBAS" 1775313 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-764 1773482 1773958 1773999 "NETCLT" 1774171 NIL NETCLT (NIL T) -9 NIL 1774253 NIL) (-763 1772190 1772421 1772702 "NCODIV" 1773250 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-762 1771952 1771989 1772064 "NCNTFRAC" 1772147 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-761 1770132 1770496 1770916 "NCEP" 1771577 NIL NCEP (NIL T) -7 NIL NIL NIL) (-760 1769029 1769776 1769804 "NASRING" 1769914 T NASRING (NIL) -9 NIL 1769994 NIL) (-759 1768824 1768868 1768962 "NASRING-" 1768967 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-758 1767977 1768476 1768504 "NARNG" 1768621 T NARNG (NIL) -9 NIL 1768712 NIL) (-757 1767669 1767736 1767870 "NARNG-" 1767875 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-756 1766548 1766755 1766990 "NAGSP" 1767454 T NAGSP (NIL) -7 NIL NIL NIL) (-755 1757820 1759504 1761177 "NAGS" 1764895 T NAGS (NIL) -7 NIL NIL NIL) (-754 1756368 1756676 1757007 "NAGF07" 1757509 T NAGF07 (NIL) -7 NIL NIL NIL) (-753 1750906 1752197 1753504 "NAGF04" 1755081 T NAGF04 (NIL) -7 NIL NIL NIL) (-752 1743874 1745488 1747121 "NAGF02" 1749293 T NAGF02 (NIL) -7 NIL NIL NIL) (-751 1739098 1740198 1741315 "NAGF01" 1742777 T NAGF01 (NIL) -7 NIL NIL NIL) (-750 1732726 1734292 1735877 "NAGE04" 1737533 T NAGE04 (NIL) -7 NIL NIL NIL) (-749 1723895 1726016 1728146 "NAGE02" 1730616 T NAGE02 (NIL) -7 NIL NIL NIL) (-748 1719848 1720795 1721759 "NAGE01" 1722951 T NAGE01 (NIL) -7 NIL NIL NIL) (-747 1717643 1718177 1718735 "NAGD03" 1719310 T NAGD03 (NIL) -7 NIL NIL NIL) (-746 1709393 1711321 1713275 "NAGD02" 1715709 T NAGD02 (NIL) -7 NIL NIL NIL) (-745 1703204 1704629 1706069 "NAGD01" 1707973 T NAGD01 (NIL) -7 NIL NIL NIL) (-744 1699413 1700235 1701072 "NAGC06" 1702387 T NAGC06 (NIL) -7 NIL NIL NIL) (-743 1697878 1698210 1698566 "NAGC05" 1699077 T NAGC05 (NIL) -7 NIL NIL NIL) (-742 1697254 1697373 1697517 "NAGC02" 1697754 T NAGC02 (NIL) -7 NIL NIL NIL) (-741 1696314 1696871 1696911 "NAALG" 1696990 NIL NAALG (NIL T) -9 NIL 1697051 NIL) (-740 1696149 1696178 1696268 "NAALG-" 1696273 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-739 1690099 1691207 1692394 "MULTSQFR" 1695045 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-738 1689418 1689493 1689677 "MULTFACT" 1690011 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-737 1682503 1686381 1686434 "MTSCAT" 1687504 NIL MTSCAT (NIL T T) -9 NIL 1688018 NIL) (-736 1682215 1682269 1682361 "MTHING" 1682443 NIL MTHING (NIL T) -7 NIL NIL NIL) (-735 1682007 1682040 1682100 "MSYSCMD" 1682175 T MSYSCMD (NIL) -7 NIL NIL NIL) (-734 1678116 1680762 1681082 "MSET" 1681720 NIL MSET (NIL T) -8 NIL NIL NIL) (-733 1675211 1677677 1677718 "MSETAGG" 1677723 NIL MSETAGG (NIL T) -9 NIL 1677757 NIL) (-732 1671079 1672590 1673335 "MRING" 1674511 NIL MRING (NIL T T) -8 NIL NIL NIL) (-731 1670645 1670712 1670843 "MRF2" 1671006 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-730 1670263 1670298 1670442 "MRATFAC" 1670604 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-729 1667875 1668170 1668601 "MPRFF" 1669968 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-728 1661927 1667729 1667826 "MPOLY" 1667831 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-727 1661417 1661452 1661660 "MPCPF" 1661886 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-726 1660931 1660974 1661158 "MPC3" 1661368 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-725 1660126 1660207 1660428 "MPC2" 1660846 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-724 1658427 1658764 1659154 "MONOTOOL" 1659786 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-723 1657678 1657969 1657997 "MONOID" 1658216 T MONOID (NIL) -9 NIL 1658363 NIL) (-722 1657224 1657343 1657524 "MONOID-" 1657529 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-721 1648075 1653991 1654050 "MONOGEN" 1654724 NIL MONOGEN (NIL T T) -9 NIL 1655180 NIL) (-720 1645293 1646028 1647028 "MONOGEN-" 1647147 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-719 1644152 1644572 1644600 "MONADWU" 1644992 T MONADWU (NIL) -9 NIL 1645230 NIL) (-718 1643524 1643683 1643931 "MONADWU-" 1643936 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-717 1642909 1643127 1643155 "MONAD" 1643362 T MONAD (NIL) -9 NIL 1643474 NIL) (-716 1642594 1642672 1642804 "MONAD-" 1642809 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-715 1640910 1641507 1641786 "MOEBIUS" 1642347 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-714 1640302 1640680 1640720 "MODULE" 1640725 NIL MODULE (NIL T) -9 NIL 1640751 NIL) (-713 1639870 1639966 1640156 "MODULE-" 1640161 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-712 1637577 1638234 1638561 "MODRING" 1639694 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-711 1634548 1635682 1636203 "MODOP" 1637106 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-710 1633163 1633615 1633892 "MODMONOM" 1634411 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-709 1622960 1631454 1631868 "MODMON" 1632800 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-708 1620143 1621804 1622080 "MODFIELD" 1622835 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-707 1619147 1619424 1619614 "MMLFORM" 1619973 T MMLFORM (NIL) -8 NIL NIL NIL) (-706 1618673 1618716 1618895 "MMAP" 1619098 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-705 1616882 1617623 1617664 "MLO" 1618087 NIL MLO (NIL T) -9 NIL 1618329 NIL) (-704 1614248 1614764 1615366 "MLIFT" 1616363 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-703 1613639 1613723 1613877 "MKUCFUNC" 1614159 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-702 1613238 1613308 1613431 "MKRECORD" 1613562 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-701 1612285 1612447 1612675 "MKFUNC" 1613049 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-700 1611673 1611777 1611933 "MKFLCFN" 1612168 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-699 1611216 1611583 1611642 "MKCHSET" 1611647 NIL MKCHSET (NIL T) -8 NIL NIL NIL) (-698 1610493 1610595 1610780 "MKBCFUNC" 1611109 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-697 1607227 1610047 1610183 "MINT" 1610377 T MINT (NIL) -8 NIL NIL NIL) (-696 1606039 1606282 1606559 "MHROWRED" 1606982 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-695 1601446 1604574 1604979 "MFLOAT" 1605654 T MFLOAT (NIL) -8 NIL NIL NIL) (-694 1600803 1600879 1601050 "MFINFACT" 1601358 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-693 1597118 1597966 1598850 "MESH" 1599939 T MESH (NIL) -7 NIL NIL NIL) (-692 1595508 1595820 1596173 "MDDFACT" 1596805 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-691 1592350 1594667 1594708 "MDAGG" 1594963 NIL MDAGG (NIL T) -9 NIL 1595106 NIL) (-690 1582120 1591643 1591850 "MCMPLX" 1592163 T MCMPLX (NIL) -8 NIL NIL NIL) (-689 1581261 1581407 1581607 "MCDEN" 1581969 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-688 1579151 1579421 1579801 "MCALCFN" 1580991 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-687 1578076 1578316 1578549 "MAYBE" 1578957 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-686 1575688 1576211 1576773 "MATSTOR" 1577547 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-685 1571693 1575060 1575308 "MATRIX" 1575473 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-684 1567457 1568166 1568902 "MATLIN" 1571050 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-683 1557611 1560749 1560826 "MATCAT" 1565706 NIL MATCAT (NIL T T T) -9 NIL 1567123 NIL) (-682 1553967 1554988 1556344 "MATCAT-" 1556349 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-681 1552561 1552714 1553047 "MATCAT2" 1553802 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-680 1550673 1550997 1551381 "MAPPKG3" 1552236 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-679 1549654 1549827 1550049 "MAPPKG2" 1550497 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-678 1548153 1548437 1548764 "MAPPKG1" 1549360 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-677 1547259 1547559 1547736 "MAPPAST" 1547996 T MAPPAST (NIL) -8 NIL NIL NIL) (-676 1546870 1546928 1547051 "MAPHACK3" 1547195 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-675 1546462 1546523 1546637 "MAPHACK2" 1546802 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-674 1545899 1546003 1546145 "MAPHACK1" 1546353 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-673 1544005 1544599 1544903 "MAGMA" 1545627 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-672 1543511 1543729 1543820 "MACROAST" 1543934 T MACROAST (NIL) -8 NIL NIL NIL) (-671 1539977 1541750 1542211 "M3D" 1543083 NIL M3D (NIL T) -8 NIL NIL NIL) (-670 1534131 1538346 1538387 "LZSTAGG" 1539169 NIL LZSTAGG (NIL T) -9 NIL 1539464 NIL) (-669 1530088 1531262 1532719 "LZSTAGG-" 1532724 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-668 1527202 1527979 1528466 "LWORD" 1529633 NIL LWORD (NIL T) -8 NIL NIL NIL) (-667 1526805 1527006 1527081 "LSTAST" 1527147 T LSTAST (NIL) -8 NIL NIL NIL) (-666 1519998 1526576 1526710 "LSQM" 1526715 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-665 1519222 1519361 1519589 "LSPP" 1519853 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-664 1517034 1517335 1517791 "LSMP" 1518911 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-663 1513813 1514487 1515217 "LSMP1" 1516336 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-662 1507738 1512980 1513021 "LSAGG" 1513083 NIL LSAGG (NIL T) -9 NIL 1513161 NIL) (-661 1504433 1505357 1506570 "LSAGG-" 1506575 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-660 1502059 1503577 1503826 "LPOLY" 1504228 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-659 1501641 1501726 1501849 "LPEFRAC" 1501968 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-658 1499988 1500735 1500988 "LO" 1501473 NIL LO (NIL T T T) -8 NIL NIL NIL) (-657 1499640 1499752 1499780 "LOGIC" 1499891 T LOGIC (NIL) -9 NIL 1499972 NIL) (-656 1499502 1499525 1499596 "LOGIC-" 1499601 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-655 1498695 1498835 1499028 "LODOOPS" 1499358 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-654 1496145 1498611 1498677 "LODO" 1498682 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-653 1494683 1494918 1495271 "LODOF" 1495892 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-652 1491031 1493436 1493477 "LODOCAT" 1493915 NIL LODOCAT (NIL T) -9 NIL 1494126 NIL) (-651 1490764 1490822 1490949 "LODOCAT-" 1490954 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-650 1488111 1490605 1490723 "LODO2" 1490728 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-649 1485573 1488048 1488093 "LODO1" 1488098 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-648 1484433 1484598 1484910 "LODEEF" 1485396 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-647 1479719 1482563 1482604 "LNAGG" 1483551 NIL LNAGG (NIL T) -9 NIL 1483995 NIL) (-646 1478866 1479080 1479422 "LNAGG-" 1479427 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-645 1475029 1475791 1476430 "LMOPS" 1478281 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-644 1474424 1474786 1474827 "LMODULE" 1474888 NIL LMODULE (NIL T) -9 NIL 1474930 NIL) (-643 1471670 1474069 1474192 "LMDICT" 1474334 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-642 1471396 1471578 1471638 "LITERAL" 1471643 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-641 1464627 1470342 1470640 "LIST" 1471131 NIL LIST (NIL T) -8 NIL NIL NIL) (-640 1464152 1464226 1464365 "LIST3" 1464547 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-639 1463159 1463337 1463565 "LIST2" 1463970 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-638 1461293 1461605 1462004 "LIST2MAP" 1462806 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-637 1460015 1460659 1460700 "LINEXP" 1460955 NIL LINEXP (NIL T) -9 NIL 1461104 NIL) (-636 1458662 1458922 1459219 "LINDEP" 1459767 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-635 1455429 1456148 1456925 "LIMITRF" 1457917 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-634 1453704 1454000 1454416 "LIMITPS" 1455124 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-633 1448159 1453215 1453443 "LIE" 1453525 NIL LIE (NIL T T) -8 NIL NIL NIL) (-632 1447208 1447651 1447691 "LIECAT" 1447831 NIL LIECAT (NIL T) -9 NIL 1447982 NIL) (-631 1447049 1447076 1447164 "LIECAT-" 1447169 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-630 1439661 1446498 1446663 "LIB" 1446904 T LIB (NIL) -8 NIL NIL NIL) (-629 1435296 1436179 1437114 "LGROBP" 1438778 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-628 1433162 1433436 1433798 "LF" 1435017 NIL LF (NIL T T) -7 NIL NIL NIL) (-627 1432002 1432694 1432722 "LFCAT" 1432929 T LFCAT (NIL) -9 NIL 1433068 NIL) (-626 1428904 1429534 1430222 "LEXTRIPK" 1431366 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-625 1425675 1426474 1426977 "LEXP" 1428484 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-624 1425178 1425396 1425488 "LETAST" 1425603 T LETAST (NIL) -8 NIL NIL NIL) (-623 1423576 1423889 1424290 "LEADCDET" 1424860 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-622 1422766 1422840 1423069 "LAZM3PK" 1423497 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-621 1417710 1420843 1421381 "LAUPOL" 1422278 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-620 1417275 1417319 1417487 "LAPLACE" 1417660 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-619 1415241 1416376 1416627 "LA" 1417108 NIL LA (NIL T T T) -8 NIL NIL NIL) (-618 1414314 1414872 1414913 "LALG" 1414975 NIL LALG (NIL T) -9 NIL 1415034 NIL) (-617 1414028 1414087 1414223 "LALG-" 1414228 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-616 1413863 1413887 1413928 "KVTFROM" 1413990 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-615 1412663 1413080 1413309 "KTVLOGIC" 1413654 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-614 1412498 1412522 1412563 "KRCFROM" 1412625 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-613 1411402 1411589 1411888 "KOVACIC" 1412298 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-612 1411237 1411261 1411302 "KONVERT" 1411364 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-611 1411072 1411096 1411137 "KOERCE" 1411199 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-610 1408806 1409566 1409959 "KERNEL" 1410711 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-609 1408308 1408389 1408519 "KERNEL2" 1408720 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-608 1402159 1406847 1406901 "KDAGG" 1407278 NIL KDAGG (NIL T T) -9 NIL 1407484 NIL) (-607 1401688 1401812 1402017 "KDAGG-" 1402022 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-606 1394863 1401349 1401504 "KAFILE" 1401566 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-605 1389318 1394374 1394602 "JORDAN" 1394684 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-604 1388724 1388967 1389088 "JOINAST" 1389217 T JOINAST (NIL) -8 NIL NIL NIL) (-603 1388570 1388629 1388684 "JAVACODE" 1388689 T JAVACODE (NIL) -8 NIL NIL NIL) (-602 1384869 1386775 1386829 "IXAGG" 1387758 NIL IXAGG (NIL T T) -9 NIL 1388217 NIL) (-601 1383788 1384094 1384513 "IXAGG-" 1384518 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1379368 1383710 1383769 "IVECTOR" 1383774 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-599 1378134 1378371 1378637 "ITUPLE" 1379135 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-598 1376570 1376747 1377053 "ITRIGMNP" 1377956 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-597 1375315 1375519 1375802 "ITFUN3" 1376346 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-596 1374947 1375004 1375113 "ITFUN2" 1375252 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-595 1372776 1373809 1374108 "ITAYLOR" 1374681 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-594 1361748 1366913 1368076 "ISUPS" 1371646 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-593 1360852 1360992 1361228 "ISUMP" 1361595 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-592 1356116 1360653 1360732 "ISTRING" 1360805 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-591 1355619 1355837 1355929 "ISAST" 1356044 T ISAST (NIL) -8 NIL NIL NIL) (-590 1354829 1354910 1355126 "IRURPK" 1355533 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-589 1353765 1353966 1354206 "IRSN" 1354609 T IRSN (NIL) -7 NIL NIL NIL) (-588 1351794 1352149 1352585 "IRRF2F" 1353403 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-587 1351541 1351579 1351655 "IRREDFFX" 1351750 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-586 1350156 1350415 1350714 "IROOT" 1351274 NIL IROOT (NIL T) -7 NIL NIL NIL) (-585 1346787 1347840 1348532 "IR" 1349496 NIL IR (NIL T) -8 NIL NIL NIL) (-584 1344400 1344895 1345461 "IR2" 1346265 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-583 1343472 1343585 1343806 "IR2F" 1344283 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-582 1343263 1343297 1343357 "IPRNTPK" 1343432 T IPRNTPK (NIL) -7 NIL NIL NIL) (-581 1339870 1343152 1343221 "IPF" 1343226 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-580 1338224 1339795 1339852 "IPADIC" 1339857 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-579 1337563 1337784 1337914 "IP4ADDR" 1338114 T IP4ADDR (NIL) -8 NIL NIL NIL) (-578 1337063 1337267 1337377 "IOMODE" 1337473 T IOMODE (NIL) -8 NIL NIL NIL) (-577 1336136 1336660 1336787 "IOBFILE" 1336956 T IOBFILE (NIL) -8 NIL NIL NIL) (-576 1335624 1336040 1336068 "IOBCON" 1336073 T IOBCON (NIL) -9 NIL 1336094 NIL) (-575 1335121 1335179 1335369 "INVLAPLA" 1335560 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-574 1324769 1327123 1329509 "INTTR" 1332785 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-573 1321113 1321855 1322719 "INTTOOLS" 1323954 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-572 1320699 1320790 1320907 "INTSLPE" 1321016 T INTSLPE (NIL) -7 NIL NIL NIL) (-571 1318680 1320622 1320681 "INTRVL" 1320686 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-570 1316282 1316794 1317369 "INTRF" 1318165 NIL INTRF (NIL T) -7 NIL NIL NIL) (-569 1315693 1315790 1315932 "INTRET" 1316180 NIL INTRET (NIL T) -7 NIL NIL NIL) (-568 1313690 1314079 1314549 "INTRAT" 1315301 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-567 1310918 1311501 1312127 "INTPM" 1313175 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-566 1307620 1308220 1308965 "INTPAF" 1310304 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-565 1302799 1303761 1304812 "INTPACK" 1306589 T INTPACK (NIL) -7 NIL NIL NIL) (-564 1299703 1302528 1302655 "INT" 1302692 T INT (NIL) -8 NIL NIL NIL) (-563 1298955 1299107 1299315 "INTHERTR" 1299545 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-562 1298394 1298474 1298662 "INTHERAL" 1298869 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-561 1296240 1296683 1297140 "INTHEORY" 1297957 T INTHEORY (NIL) -7 NIL NIL NIL) (-560 1287548 1289169 1290948 "INTG0" 1294592 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-559 1268121 1272911 1277721 "INTFTBL" 1282758 T INTFTBL (NIL) -8 NIL NIL NIL) (-558 1267370 1267508 1267681 "INTFACT" 1267980 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-557 1264755 1265201 1265765 "INTEF" 1266924 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-556 1263214 1263927 1263955 "INTDOM" 1264256 T INTDOM (NIL) -9 NIL 1264463 NIL) (-555 1262583 1262757 1262999 "INTDOM-" 1263004 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-554 1259070 1260967 1261021 "INTCAT" 1261820 NIL INTCAT (NIL T) -9 NIL 1262140 NIL) (-553 1258542 1258645 1258773 "INTBIT" 1258962 T INTBIT (NIL) -7 NIL NIL NIL) (-552 1257213 1257367 1257681 "INTALG" 1258387 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-551 1256670 1256760 1256930 "INTAF" 1257117 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-550 1250124 1256480 1256620 "INTABL" 1256625 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-549 1249455 1249894 1249959 "INT8" 1249993 T INT8 (NIL) -8 NIL NIL 1250038) (-548 1248785 1249224 1249289 "INT64" 1249323 T INT64 (NIL) -8 NIL NIL 1249368) (-547 1248115 1248554 1248619 "INT32" 1248653 T INT32 (NIL) -8 NIL NIL 1248698) (-546 1247445 1247884 1247949 "INT16" 1247983 T INT16 (NIL) -8 NIL NIL 1248028) (-545 1242452 1245134 1245162 "INS" 1246096 T INS (NIL) -9 NIL 1246761 NIL) (-544 1239692 1240463 1241437 "INS-" 1241510 NIL INS- (NIL T) -8 NIL NIL NIL) (-543 1238467 1238694 1238992 "INPSIGN" 1239445 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-542 1237585 1237702 1237899 "INPRODPF" 1238347 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-541 1236479 1236596 1236833 "INPRODFF" 1237465 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-540 1235479 1235631 1235891 "INNMFACT" 1236315 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-539 1234676 1234773 1234961 "INMODGCD" 1235378 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-538 1233184 1233429 1233753 "INFSP" 1234421 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-537 1232368 1232485 1232668 "INFPROD0" 1233064 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-536 1229250 1230433 1230948 "INFORM" 1231861 T INFORM (NIL) -8 NIL NIL NIL) (-535 1228860 1228920 1229018 "INFORM1" 1229185 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-534 1228383 1228472 1228586 "INFINITY" 1228766 T INFINITY (NIL) -7 NIL NIL NIL) (-533 1227559 1228103 1228204 "INETCLTS" 1228302 T INETCLTS (NIL) -8 NIL NIL NIL) (-532 1226175 1226425 1226746 "INEP" 1227307 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-531 1225451 1226072 1226137 "INDE" 1226142 NIL INDE (NIL T) -8 NIL NIL NIL) (-530 1225015 1225083 1225200 "INCRMAPS" 1225378 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-529 1223833 1224284 1224490 "INBFILE" 1224829 T INBFILE (NIL) -8 NIL NIL NIL) (-528 1219133 1220069 1221013 "INBFF" 1222921 NIL INBFF (NIL T) -7 NIL NIL NIL) (-527 1218041 1218310 1218338 "INBCON" 1218851 T INBCON (NIL) -9 NIL 1219117 NIL) (-526 1217293 1217516 1217792 "INBCON-" 1217797 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-525 1216799 1217017 1217108 "INAST" 1217222 T INAST (NIL) -8 NIL NIL NIL) (-524 1216253 1216478 1216584 "IMPTAST" 1216713 T IMPTAST (NIL) -8 NIL NIL NIL) (-523 1212747 1216097 1216201 "IMATRIX" 1216206 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-522 1211459 1211582 1211897 "IMATQF" 1212603 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-521 1209679 1209906 1210243 "IMATLIN" 1211215 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-520 1204305 1209603 1209661 "ILIST" 1209666 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-519 1202258 1204165 1204278 "IIARRAY2" 1204283 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-518 1197683 1202169 1202233 "IFF" 1202238 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-517 1197057 1197300 1197416 "IFAST" 1197587 T IFAST (NIL) -8 NIL NIL NIL) (-516 1192100 1196349 1196537 "IFARRAY" 1196914 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-515 1191307 1192004 1192077 "IFAMON" 1192082 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-514 1190891 1190956 1191010 "IEVALAB" 1191217 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-513 1190566 1190634 1190794 "IEVALAB-" 1190799 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-512 1190224 1190480 1190543 "IDPO" 1190548 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-511 1189501 1190113 1190188 "IDPOAMS" 1190193 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-510 1188835 1189390 1189465 "IDPOAM" 1189470 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-509 1187920 1188170 1188223 "IDPC" 1188636 NIL IDPC (NIL T T) -9 NIL 1188785 NIL) (-508 1187416 1187812 1187885 "IDPAM" 1187890 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-507 1186819 1187308 1187381 "IDPAG" 1187386 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-506 1186491 1186655 1186730 "IDENT" 1186764 T IDENT (NIL) -8 NIL NIL NIL) (-505 1182746 1183594 1184489 "IDECOMP" 1185648 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-504 1175610 1176669 1177716 "IDEAL" 1181782 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-503 1174774 1174886 1175085 "ICDEN" 1175494 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-502 1173872 1174254 1174401 "ICARD" 1174647 T ICARD (NIL) -8 NIL NIL NIL) (-501 1171932 1172245 1172650 "IBPTOOLS" 1173549 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-500 1167566 1171552 1171665 "IBITS" 1171851 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-499 1164289 1164865 1165560 "IBATOOL" 1166983 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-498 1162068 1162530 1163063 "IBACHIN" 1163824 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-497 1159945 1161914 1162017 "IARRAY2" 1162022 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-496 1156099 1159871 1159928 "IARRAY1" 1159933 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-495 1150083 1154511 1154992 "IAN" 1155638 T IAN (NIL) -8 NIL NIL NIL) (-494 1149594 1149651 1149824 "IALGFACT" 1150020 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-493 1149122 1149235 1149263 "HYPCAT" 1149470 T HYPCAT (NIL) -9 NIL NIL NIL) (-492 1148660 1148777 1148963 "HYPCAT-" 1148968 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-491 1148282 1148455 1148538 "HOSTNAME" 1148597 T HOSTNAME (NIL) -8 NIL NIL NIL) (-490 1148127 1148164 1148205 "HOMOTOP" 1148210 NIL HOMOTOP (NIL T) -9 NIL 1148243 NIL) (-489 1144806 1146137 1146178 "HOAGG" 1147159 NIL HOAGG (NIL T) -9 NIL 1147838 NIL) (-488 1143400 1143799 1144325 "HOAGG-" 1144330 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-487 1137431 1142995 1143144 "HEXADEC" 1143271 T HEXADEC (NIL) -8 NIL NIL NIL) (-486 1136179 1136401 1136664 "HEUGCD" 1137208 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-485 1135282 1136016 1136146 "HELLFDIV" 1136151 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-484 1133509 1135059 1135147 "HEAP" 1135226 NIL HEAP (NIL T) -8 NIL NIL NIL) (-483 1132799 1133061 1133195 "HEADAST" 1133395 T HEADAST (NIL) -8 NIL NIL NIL) (-482 1126713 1132714 1132776 "HDP" 1132781 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-481 1120456 1126348 1126500 "HDMP" 1126614 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-480 1119780 1119920 1120084 "HB" 1120312 T HB (NIL) -7 NIL NIL NIL) (-479 1113277 1119626 1119730 "HASHTBL" 1119735 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-478 1112780 1112998 1113090 "HASAST" 1113205 T HASAST (NIL) -8 NIL NIL NIL) (-477 1110585 1112402 1112584 "HACKPI" 1112618 T HACKPI (NIL) -8 NIL NIL NIL) (-476 1106280 1110438 1110551 "GTSET" 1110556 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-475 1099806 1106158 1106256 "GSTBL" 1106261 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-474 1092111 1098837 1099102 "GSERIES" 1099597 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-473 1091278 1091669 1091697 "GROUP" 1091900 T GROUP (NIL) -9 NIL 1092034 NIL) (-472 1090644 1090803 1091054 "GROUP-" 1091059 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-471 1089011 1089332 1089719 "GROEBSOL" 1090321 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-470 1087951 1088213 1088264 "GRMOD" 1088793 NIL GRMOD (NIL T T) -9 NIL 1088961 NIL) (-469 1087719 1087755 1087883 "GRMOD-" 1087888 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-468 1083036 1084073 1085073 "GRIMAGE" 1086739 T GRIMAGE (NIL) -8 NIL NIL NIL) (-467 1081502 1081763 1082087 "GRDEF" 1082732 T GRDEF (NIL) -7 NIL NIL NIL) (-466 1080946 1081062 1081203 "GRAY" 1081381 T GRAY (NIL) -7 NIL NIL NIL) (-465 1080159 1080539 1080590 "GRALG" 1080743 NIL GRALG (NIL T T) -9 NIL 1080836 NIL) (-464 1079820 1079893 1080056 "GRALG-" 1080061 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-463 1076624 1079405 1079583 "GPOLSET" 1079727 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-462 1075978 1076035 1076293 "GOSPER" 1076561 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-461 1071737 1072416 1072942 "GMODPOL" 1075677 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-460 1070742 1070926 1071164 "GHENSEL" 1071549 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-459 1064793 1065636 1066663 "GENUPS" 1069826 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-458 1064490 1064541 1064630 "GENUFACT" 1064736 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-457 1063902 1063979 1064144 "GENPGCD" 1064408 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-456 1063376 1063411 1063624 "GENMFACT" 1063861 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-455 1061942 1062199 1062506 "GENEEZ" 1063119 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-454 1055843 1061553 1061715 "GDMP" 1061865 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-453 1045212 1049614 1050720 "GCNAALG" 1054826 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-452 1043631 1044467 1044495 "GCDDOM" 1044750 T GCDDOM (NIL) -9 NIL 1044907 NIL) (-451 1043101 1043228 1043443 "GCDDOM-" 1043448 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-450 1041773 1041958 1042262 "GB" 1042880 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-449 1030389 1032719 1035111 "GBINTERN" 1039464 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-448 1028226 1028518 1028939 "GBF" 1030064 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-447 1027007 1027172 1027439 "GBEUCLID" 1028042 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-446 1026356 1026481 1026630 "GAUSSFAC" 1026878 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-445 1024723 1025025 1025339 "GALUTIL" 1026075 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-444 1023031 1023305 1023629 "GALPOLYU" 1024450 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-443 1020396 1020686 1021093 "GALFACTU" 1022728 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-442 1012202 1013701 1015309 "GALFACT" 1018828 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-441 1009590 1010248 1010276 "FVFUN" 1011432 T FVFUN (NIL) -9 NIL 1012152 NIL) (-440 1008856 1009038 1009066 "FVC" 1009357 T FVC (NIL) -9 NIL 1009540 NIL) (-439 1008526 1008681 1008749 "FUNDESC" 1008808 T FUNDESC (NIL) -8 NIL NIL NIL) (-438 1008168 1008323 1008404 "FUNCTION" 1008478 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-437 1005939 1006490 1006956 "FT" 1007722 T FT (NIL) -8 NIL NIL NIL) (-436 1004757 1005240 1005443 "FTEM" 1005756 T FTEM (NIL) -8 NIL NIL NIL) (-435 1003013 1003302 1003706 "FSUPFACT" 1004448 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-434 1001410 1001699 1002031 "FST" 1002701 T FST (NIL) -8 NIL NIL NIL) (-433 1000581 1000687 1000882 "FSRED" 1001292 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-432 999259 999515 999869 "FSPRMELT" 1000296 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-431 996344 996782 997281 "FSPECF" 998822 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-430 978398 986847 986887 "FS" 990735 NIL FS (NIL T) -9 NIL 993024 NIL) (-429 967045 970038 974094 "FS-" 974391 NIL FS- (NIL T T) -8 NIL NIL NIL) (-428 966559 966613 966790 "FSINT" 966986 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-427 964878 965552 965855 "FSERIES" 966338 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-426 963892 964008 964239 "FSCINT" 964758 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-425 960126 962836 962877 "FSAGG" 963247 NIL FSAGG (NIL T) -9 NIL 963506 NIL) (-424 957888 958489 959285 "FSAGG-" 959380 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-423 956930 957073 957300 "FSAGG2" 957741 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-422 954584 954864 955418 "FS2UPS" 956648 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-421 954166 954209 954364 "FS2" 954535 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-420 953023 953194 953503 "FS2EXPXP" 953991 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-419 952449 952564 952716 "FRUTIL" 952903 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-418 943889 947944 949302 "FR" 951123 NIL FR (NIL T) -8 NIL NIL NIL) (-417 938964 941607 941647 "FRNAALG" 943043 NIL FRNAALG (NIL T) -9 NIL 943650 NIL) (-416 934637 935713 936988 "FRNAALG-" 937738 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-415 934275 934318 934445 "FRNAAF2" 934588 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-414 932682 933129 933424 "FRMOD" 934087 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-413 930460 931065 931382 "FRIDEAL" 932473 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-412 929655 929742 930031 "FRIDEAL2" 930367 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-411 928788 929202 929243 "FRETRCT" 929248 NIL FRETRCT (NIL T) -9 NIL 929424 NIL) (-410 927900 928131 928482 "FRETRCT-" 928487 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-409 925104 926288 926347 "FRAMALG" 927229 NIL FRAMALG (NIL T T) -9 NIL 927521 NIL) (-408 923238 923693 924323 "FRAMALG-" 924546 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-407 917186 922713 922989 "FRAC" 922994 NIL FRAC (NIL T) -8 NIL NIL NIL) (-406 916822 916879 916986 "FRAC2" 917123 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-405 916458 916515 916622 "FR2" 916759 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-404 911123 913983 914011 "FPS" 915130 T FPS (NIL) -9 NIL 915687 NIL) (-403 910572 910681 910845 "FPS-" 910991 NIL FPS- (NIL T) -8 NIL NIL NIL) (-402 908018 909661 909689 "FPC" 909914 T FPC (NIL) -9 NIL 910056 NIL) (-401 907811 907851 907948 "FPC-" 907953 NIL FPC- (NIL T) -8 NIL NIL NIL) (-400 906689 907299 907340 "FPATMAB" 907345 NIL FPATMAB (NIL T) -9 NIL 907497 NIL) (-399 904389 904865 905291 "FPARFRAC" 906326 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-398 899782 900281 900963 "FORTRAN" 903821 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-397 897498 897998 898537 "FORT" 899263 T FORT (NIL) -7 NIL NIL NIL) (-396 895174 895736 895764 "FORTFN" 896824 T FORTFN (NIL) -9 NIL 897448 NIL) (-395 894938 894988 895016 "FORTCAT" 895075 T FORTCAT (NIL) -9 NIL 895137 NIL) (-394 893071 893554 893944 "FORMULA" 894568 T FORMULA (NIL) -8 NIL NIL NIL) (-393 892859 892889 892958 "FORMULA1" 893035 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-392 892382 892434 892607 "FORDER" 892801 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-391 891478 891642 891835 "FOP" 892209 T FOP (NIL) -7 NIL NIL NIL) (-390 890086 890758 890932 "FNLA" 891360 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-389 888841 889230 889258 "FNCAT" 889718 T FNCAT (NIL) -9 NIL 889978 NIL) (-388 888407 888800 888828 "FNAME" 888833 T FNAME (NIL) -8 NIL NIL NIL) (-387 887062 887999 888027 "FMTC" 888032 T FMTC (NIL) -9 NIL 888068 NIL) (-386 883422 884585 885214 "FMONOID" 886466 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-385 882641 883164 883313 "FM" 883318 NIL FM (NIL T T) -8 NIL NIL NIL) (-384 880065 880711 880739 "FMFUN" 881883 T FMFUN (NIL) -9 NIL 882591 NIL) (-383 879334 879515 879543 "FMC" 879833 T FMC (NIL) -9 NIL 880015 NIL) (-382 876528 877362 877416 "FMCAT" 878611 NIL FMCAT (NIL T T) -9 NIL 879106 NIL) (-381 875421 876294 876394 "FM1" 876473 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-380 873195 873611 874105 "FLOATRP" 874972 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-379 866796 870924 871545 "FLOAT" 872594 T FLOAT (NIL) -8 NIL NIL NIL) (-378 864234 864734 865312 "FLOATCP" 866263 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-377 863035 863847 863888 "FLINEXP" 863893 NIL FLINEXP (NIL T) -9 NIL 863986 NIL) (-376 862189 862424 862752 "FLINEXP-" 862757 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-375 861265 861409 861633 "FLASORT" 862041 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-374 858482 859324 859376 "FLALG" 860603 NIL FLALG (NIL T T) -9 NIL 861070 NIL) (-373 852266 855968 856009 "FLAGG" 857271 NIL FLAGG (NIL T) -9 NIL 857923 NIL) (-372 850992 851331 851821 "FLAGG-" 851826 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-371 850034 850177 850404 "FLAGG2" 850845 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-370 847001 847983 848042 "FINRALG" 849170 NIL FINRALG (NIL T T) -9 NIL 849678 NIL) (-369 846161 846390 846729 "FINRALG-" 846734 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-368 845567 845780 845808 "FINITE" 846004 T FINITE (NIL) -9 NIL 846111 NIL) (-367 838025 840186 840226 "FINAALG" 843893 NIL FINAALG (NIL T) -9 NIL 845346 NIL) (-366 833357 834407 835551 "FINAALG-" 836930 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-365 832752 833112 833215 "FILE" 833287 NIL FILE (NIL T) -8 NIL NIL NIL) (-364 831436 831748 831802 "FILECAT" 832486 NIL FILECAT (NIL T T) -9 NIL 832702 NIL) (-363 829296 830798 830826 "FIELD" 830866 T FIELD (NIL) -9 NIL 830946 NIL) (-362 827916 828301 828812 "FIELD-" 828817 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-361 825793 826551 826898 "FGROUP" 827602 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-360 824883 825047 825267 "FGLMICPK" 825625 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-359 820742 824808 824865 "FFX" 824870 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-358 820343 820404 820539 "FFSLPE" 820675 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-357 816332 817115 817911 "FFPOLY" 819579 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-356 815836 815872 816081 "FFPOLY2" 816290 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-355 811706 815755 815818 "FFP" 815823 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-354 807131 811617 811681 "FF" 811686 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-353 802284 806474 806664 "FFNBX" 806985 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-352 797240 801419 801677 "FFNBP" 802138 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-351 791900 796524 796735 "FFNB" 797073 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-350 790732 790930 791245 "FFINTBAS" 791697 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-349 786952 789139 789167 "FFIELDC" 789787 T FFIELDC (NIL) -9 NIL 790163 NIL) (-348 785614 785985 786482 "FFIELDC-" 786487 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-347 785183 785229 785353 "FFHOM" 785556 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-346 782878 783365 783882 "FFF" 784698 NIL FFF (NIL T) -7 NIL NIL NIL) (-345 778523 782620 782721 "FFCGX" 782821 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-344 774171 778255 778362 "FFCGP" 778466 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-343 769381 773898 774006 "FFCG" 774107 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-342 751206 760252 760338 "FFCAT" 765503 NIL FFCAT (NIL T T T) -9 NIL 766954 NIL) (-341 746404 747451 748765 "FFCAT-" 749995 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-340 745815 745858 746093 "FFCAT2" 746355 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-339 735012 738787 740007 "FEXPR" 744667 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-338 734012 734447 734488 "FEVALAB" 734572 NIL FEVALAB (NIL T) -9 NIL 734833 NIL) (-337 733171 733381 733719 "FEVALAB-" 733724 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-336 731764 732554 732757 "FDIV" 733070 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-335 728830 729545 729660 "FDIVCAT" 731228 NIL FDIVCAT (NIL T T T T) -9 NIL 731665 NIL) (-334 728592 728619 728789 "FDIVCAT-" 728794 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-333 727812 727899 728176 "FDIV2" 728499 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-332 726498 726757 727046 "FCPAK1" 727543 T FCPAK1 (NIL) -7 NIL NIL NIL) (-331 725624 725998 726139 "FCOMP" 726389 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-330 709353 712774 716312 "FC" 722106 T FC (NIL) -8 NIL NIL NIL) (-329 701924 705917 705957 "FAXF" 707759 NIL FAXF (NIL T) -9 NIL 708451 NIL) (-328 699200 699858 700683 "FAXF-" 701148 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-327 694300 698576 698752 "FARRAY" 699057 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-326 689545 691585 691638 "FAMR" 692661 NIL FAMR (NIL T T) -9 NIL 693121 NIL) (-325 688435 688737 689172 "FAMR-" 689177 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-324 687631 688357 688410 "FAMONOID" 688415 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-323 685443 686127 686180 "FAMONC" 687121 NIL FAMONC (NIL T T) -9 NIL 687507 NIL) (-322 684135 685197 685334 "FAGROUP" 685339 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-321 681930 682249 682652 "FACUTIL" 683816 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-320 681029 681214 681436 "FACTFUNC" 681740 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-319 673426 680280 680492 "EXPUPXS" 680885 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-318 670909 671449 672035 "EXPRTUBE" 672860 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-317 667103 667695 668432 "EXPRODE" 670248 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-316 652469 665758 666186 "EXPR" 666707 NIL EXPR (NIL T) -8 NIL NIL NIL) (-315 646876 647463 648276 "EXPR2UPS" 651767 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-314 646512 646569 646676 "EXPR2" 646813 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-313 637909 645644 645941 "EXPEXPAN" 646349 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-312 637736 637866 637895 "EXIT" 637900 T EXIT (NIL) -8 NIL NIL NIL) (-311 637243 637460 637551 "EXITAST" 637665 T EXITAST (NIL) -8 NIL NIL NIL) (-310 636870 636932 637045 "EVALCYC" 637175 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-309 636411 636529 636570 "EVALAB" 636740 NIL EVALAB (NIL T) -9 NIL 636844 NIL) (-308 635892 636014 636235 "EVALAB-" 636240 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-307 633352 634628 634656 "EUCDOM" 635211 T EUCDOM (NIL) -9 NIL 635561 NIL) (-306 631757 632199 632789 "EUCDOM-" 632794 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-305 619295 622055 624805 "ESTOOLS" 629027 T ESTOOLS (NIL) -7 NIL NIL NIL) (-304 618927 618984 619093 "ESTOOLS2" 619232 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-303 618678 618720 618800 "ESTOOLS1" 618879 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-302 612583 614311 614339 "ES" 617107 T ES (NIL) -9 NIL 618516 NIL) (-301 607530 608817 610634 "ES-" 610798 NIL ES- (NIL T) -8 NIL NIL NIL) (-300 603904 604665 605445 "ESCONT" 606770 T ESCONT (NIL) -7 NIL NIL NIL) (-299 603649 603681 603763 "ESCONT1" 603866 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-298 603324 603374 603474 "ES2" 603593 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-297 602954 603012 603121 "ES1" 603260 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-296 602170 602299 602475 "ERROR" 602798 T ERROR (NIL) -7 NIL NIL NIL) (-295 595673 602029 602120 "EQTBL" 602125 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-294 588224 590987 592436 "EQ" 594257 NIL -3292 (NIL T) -8 NIL NIL NIL) (-293 587856 587913 588022 "EQ2" 588161 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-292 583145 584194 585287 "EP" 586795 NIL EP (NIL T) -7 NIL NIL NIL) (-291 581723 582020 582332 "ENV" 582853 T ENV (NIL) -8 NIL NIL NIL) (-290 580894 581422 581450 "ENTIRER" 581455 T ENTIRER (NIL) -9 NIL 581501 NIL) (-289 577388 578849 579219 "EMR" 580693 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-288 576532 576717 576771 "ELTAGG" 577151 NIL ELTAGG (NIL T T) -9 NIL 577362 NIL) (-287 576251 576313 576454 "ELTAGG-" 576459 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-286 576040 576069 576123 "ELTAB" 576207 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-285 575166 575312 575511 "ELFUTS" 575891 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-284 574908 574964 574992 "ELEMFUN" 575097 T ELEMFUN (NIL) -9 NIL NIL NIL) (-283 574778 574799 574867 "ELEMFUN-" 574872 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-282 569669 572878 572919 "ELAGG" 573859 NIL ELAGG (NIL T) -9 NIL 574322 NIL) (-281 567954 568388 569051 "ELAGG-" 569056 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-280 566619 566897 567190 "ELABEXPR" 567681 T ELABEXPR (NIL) -8 NIL NIL NIL) (-279 559483 561286 562113 "EFUPXS" 565895 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-278 552933 554734 555544 "EFULS" 558759 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-277 550355 550713 551192 "EFSTRUC" 552565 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-276 539426 540992 542552 "EF" 548870 NIL EF (NIL T T) -7 NIL NIL NIL) (-275 538527 538911 539060 "EAB" 539297 T EAB (NIL) -8 NIL NIL NIL) (-274 537736 538486 538514 "E04UCFA" 538519 T E04UCFA (NIL) -8 NIL NIL NIL) (-273 536945 537695 537723 "E04NAFA" 537728 T E04NAFA (NIL) -8 NIL NIL NIL) (-272 536154 536904 536932 "E04MBFA" 536937 T E04MBFA (NIL) -8 NIL NIL NIL) (-271 535363 536113 536141 "E04JAFA" 536146 T E04JAFA (NIL) -8 NIL NIL NIL) (-270 534574 535322 535350 "E04GCFA" 535355 T E04GCFA (NIL) -8 NIL NIL NIL) (-269 533785 534533 534561 "E04FDFA" 534566 T E04FDFA (NIL) -8 NIL NIL NIL) (-268 532994 533744 533772 "E04DGFA" 533777 T E04DGFA (NIL) -8 NIL NIL NIL) (-267 527167 528519 529883 "E04AGNT" 531650 T E04AGNT (NIL) -7 NIL NIL NIL) (-266 525873 526353 526393 "DVARCAT" 526868 NIL DVARCAT (NIL T) -9 NIL 527067 NIL) (-265 525077 525289 525603 "DVARCAT-" 525608 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-264 517969 524876 525005 "DSMP" 525010 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-263 512778 513914 514982 "DROPT" 516921 T DROPT (NIL) -8 NIL NIL NIL) (-262 512443 512502 512600 "DROPT1" 512713 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-261 507558 508684 509821 "DROPT0" 511326 T DROPT0 (NIL) -7 NIL NIL NIL) (-260 505903 506228 506614 "DRAWPT" 507192 T DRAWPT (NIL) -7 NIL NIL NIL) (-259 500490 501413 502492 "DRAW" 504877 NIL DRAW (NIL T) -7 NIL NIL NIL) (-258 500123 500176 500294 "DRAWHACK" 500431 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-257 498854 499123 499414 "DRAWCX" 499852 T DRAWCX (NIL) -7 NIL NIL NIL) (-256 498369 498438 498589 "DRAWCURV" 498780 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-255 488837 490799 492914 "DRAWCFUN" 496274 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-254 485650 487532 487573 "DQAGG" 488202 NIL DQAGG (NIL T) -9 NIL 488475 NIL) (-253 473921 480628 480711 "DPOLCAT" 482563 NIL DPOLCAT (NIL T T T T) -9 NIL 483108 NIL) (-252 468757 470106 472064 "DPOLCAT-" 472069 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-251 461906 468618 468716 "DPMO" 468721 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-250 454958 461686 461853 "DPMM" 461858 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-249 454590 454877 454925 "DOMCTOR" 454930 T DOMCTOR (NIL) -8 NIL NIL NIL) (-248 453885 454112 454249 "DOMAIN" 454473 T DOMAIN (NIL) -8 NIL NIL NIL) (-247 447628 453520 453672 "DMP" 453786 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-246 447228 447284 447428 "DLP" 447566 NIL DLP (NIL T) -7 NIL NIL NIL) (-245 441098 446555 446745 "DLIST" 447070 NIL DLIST (NIL T) -8 NIL NIL NIL) (-244 437942 439951 439992 "DLAGG" 440542 NIL DLAGG (NIL T) -9 NIL 440772 NIL) (-243 436747 437385 437413 "DIVRING" 437505 T DIVRING (NIL) -9 NIL 437588 NIL) (-242 435984 436174 436474 "DIVRING-" 436479 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-241 434086 434443 434849 "DISPLAY" 435598 T DISPLAY (NIL) -7 NIL NIL NIL) (-240 428022 434000 434063 "DIRPROD" 434068 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-239 426870 427073 427338 "DIRPROD2" 427815 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-238 416127 422085 422138 "DIRPCAT" 422548 NIL DIRPCAT (NIL NIL T) -9 NIL 423388 NIL) (-237 413453 414095 414976 "DIRPCAT-" 415313 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-236 412740 412900 413086 "DIOSP" 413287 T DIOSP (NIL) -7 NIL NIL NIL) (-235 409442 411652 411693 "DIOPS" 412127 NIL DIOPS (NIL T) -9 NIL 412356 NIL) (-234 408991 409105 409296 "DIOPS-" 409301 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-233 407875 408477 408505 "DIFRING" 408692 T DIFRING (NIL) -9 NIL 408802 NIL) (-232 407521 407598 407750 "DIFRING-" 407755 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-231 405318 406564 406605 "DIFEXT" 406968 NIL DIFEXT (NIL T) -9 NIL 407262 NIL) (-230 403603 404031 404697 "DIFEXT-" 404702 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-229 400925 403135 403176 "DIAGG" 403181 NIL DIAGG (NIL T) -9 NIL 403201 NIL) (-228 400309 400466 400718 "DIAGG-" 400723 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-227 395774 399268 399545 "DHMATRIX" 400078 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-226 391386 392295 393305 "DFSFUN" 394784 T DFSFUN (NIL) -7 NIL NIL NIL) (-225 386491 390317 390629 "DFLOAT" 391094 T DFLOAT (NIL) -8 NIL NIL NIL) (-224 384719 385000 385396 "DFINTTLS" 386199 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-223 381775 382740 383140 "DERHAM" 384385 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-222 379624 381550 381639 "DEQUEUE" 381719 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-221 378839 378972 379168 "DEGRED" 379486 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-220 375234 375979 376832 "DEFINTRF" 378067 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-219 372761 373230 373829 "DEFINTEF" 374753 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-218 372138 372381 372496 "DEFAST" 372666 T DEFAST (NIL) -8 NIL NIL NIL) (-217 366169 371733 371882 "DECIMAL" 372009 T DECIMAL (NIL) -8 NIL NIL NIL) (-216 363679 364139 364645 "DDFACT" 365713 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-215 363275 363318 363469 "DBLRESP" 363630 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-214 361174 361508 361868 "DBASE" 363042 NIL DBASE (NIL T) -8 NIL NIL NIL) (-213 360443 360654 360800 "DATAARY" 361073 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-212 359576 360402 360430 "D03FAFA" 360435 T D03FAFA (NIL) -8 NIL NIL NIL) (-211 358710 359535 359563 "D03EEFA" 359568 T D03EEFA (NIL) -8 NIL NIL NIL) (-210 356660 357126 357615 "D03AGNT" 358241 T D03AGNT (NIL) -7 NIL NIL NIL) (-209 355976 356619 356647 "D02EJFA" 356652 T D02EJFA (NIL) -8 NIL NIL NIL) (-208 355292 355935 355963 "D02CJFA" 355968 T D02CJFA (NIL) -8 NIL NIL NIL) (-207 354608 355251 355279 "D02BHFA" 355284 T D02BHFA (NIL) -8 NIL NIL NIL) (-206 353924 354567 354595 "D02BBFA" 354600 T D02BBFA (NIL) -8 NIL NIL NIL) (-205 347121 348710 350316 "D02AGNT" 352338 T D02AGNT (NIL) -7 NIL NIL NIL) (-204 344889 345412 345958 "D01WGTS" 346595 T D01WGTS (NIL) -7 NIL NIL NIL) (-203 343983 344848 344876 "D01TRNS" 344881 T D01TRNS (NIL) -8 NIL NIL NIL) (-202 343078 343942 343970 "D01GBFA" 343975 T D01GBFA (NIL) -8 NIL NIL NIL) (-201 342173 343037 343065 "D01FCFA" 343070 T D01FCFA (NIL) -8 NIL NIL NIL) (-200 341268 342132 342160 "D01ASFA" 342165 T D01ASFA (NIL) -8 NIL NIL NIL) (-199 340363 341227 341255 "D01AQFA" 341260 T D01AQFA (NIL) -8 NIL NIL NIL) (-198 339458 340322 340350 "D01APFA" 340355 T D01APFA (NIL) -8 NIL NIL NIL) (-197 338553 339417 339445 "D01ANFA" 339450 T D01ANFA (NIL) -8 NIL NIL NIL) (-196 337648 338512 338540 "D01AMFA" 338545 T D01AMFA (NIL) -8 NIL NIL NIL) (-195 336743 337607 337635 "D01ALFA" 337640 T D01ALFA (NIL) -8 NIL NIL NIL) (-194 335838 336702 336730 "D01AKFA" 336735 T D01AKFA (NIL) -8 NIL NIL NIL) (-193 334933 335797 335825 "D01AJFA" 335830 T D01AJFA (NIL) -8 NIL NIL NIL) (-192 328228 329781 331342 "D01AGNT" 333392 T D01AGNT (NIL) -7 NIL NIL NIL) (-191 327565 327693 327845 "CYCLOTOM" 328096 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-190 324300 325013 325740 "CYCLES" 326858 T CYCLES (NIL) -7 NIL NIL NIL) (-189 323612 323746 323917 "CVMP" 324161 NIL CVMP (NIL T) -7 NIL NIL NIL) (-188 321383 321641 322017 "CTRIGMNP" 323340 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-187 320878 321177 321250 "CTOR" 321330 T CTOR (NIL) -8 NIL NIL NIL) (-186 320414 320609 320710 "CTORKIND" 320797 T CTORKIND (NIL) -8 NIL NIL NIL) (-185 319762 320021 320049 "CTORCAT" 320231 T CTORCAT (NIL) -9 NIL 320344 NIL) (-184 319360 319471 319630 "CTORCAT-" 319635 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-183 318876 319063 319161 "CTORCALL" 319282 T CTORCALL (NIL) -8 NIL NIL NIL) (-182 318250 318349 318502 "CSTTOOLS" 318773 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-181 314049 314706 315464 "CRFP" 317562 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-180 313551 313770 313862 "CRCEAST" 313977 T CRCEAST (NIL) -8 NIL NIL NIL) (-179 312598 312783 313011 "CRAPACK" 313355 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-178 311982 312083 312287 "CPMATCH" 312474 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-177 311707 311735 311841 "CPIMA" 311948 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-176 308071 308743 309461 "COORDSYS" 311042 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-175 307479 307601 307744 "CONTOUR" 307948 T CONTOUR (NIL) -8 NIL NIL NIL) (-174 303397 305482 305974 "CONTFRAC" 307019 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-173 303277 303298 303326 "CONDUIT" 303363 T CONDUIT (NIL) -9 NIL NIL NIL) (-172 302442 302970 302998 "COMRING" 303003 T COMRING (NIL) -9 NIL 303055 NIL) (-171 301523 301800 301984 "COMPPROP" 302278 T COMPPROP (NIL) -8 NIL NIL NIL) (-170 301184 301219 301347 "COMPLPAT" 301482 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-169 291233 300993 301102 "COMPLEX" 301107 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-168 290869 290926 291033 "COMPLEX2" 291170 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-167 290587 290622 290720 "COMPFACT" 290828 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-166 274741 284969 285009 "COMPCAT" 286013 NIL COMPCAT (NIL T) -9 NIL 287409 NIL) (-165 264252 267180 270807 "COMPCAT-" 271163 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-164 263981 264009 264112 "COMMUPC" 264218 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-163 263776 263809 263868 "COMMONOP" 263942 T COMMONOP (NIL) -7 NIL NIL NIL) (-162 263359 263527 263614 "COMM" 263709 T COMM (NIL) -8 NIL NIL NIL) (-161 262962 263163 263238 "COMMAAST" 263304 T COMMAAST (NIL) -8 NIL NIL NIL) (-160 262211 262405 262433 "COMBOPC" 262771 T COMBOPC (NIL) -9 NIL 262946 NIL) (-159 261107 261317 261559 "COMBINAT" 262001 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-158 257304 257878 258518 "COMBF" 260529 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-157 256089 256420 256655 "COLOR" 257089 T COLOR (NIL) -8 NIL NIL NIL) (-156 255592 255810 255902 "COLONAST" 256017 T COLONAST (NIL) -8 NIL NIL NIL) (-155 255232 255279 255404 "CMPLXRT" 255539 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-154 254707 254932 255031 "CLLCTAST" 255153 T CLLCTAST (NIL) -8 NIL NIL NIL) (-153 250207 251237 252317 "CLIP" 253647 T CLIP (NIL) -7 NIL NIL NIL) (-152 248580 249313 249552 "CLIF" 250034 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-151 244802 246726 246767 "CLAGG" 247696 NIL CLAGG (NIL T) -9 NIL 248232 NIL) (-150 243224 243681 244264 "CLAGG-" 244269 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-149 242768 242853 242993 "CINTSLPE" 243133 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-148 240269 240740 241288 "CHVAR" 242296 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-147 239504 240032 240060 "CHARZ" 240065 T CHARZ (NIL) -9 NIL 240080 NIL) (-146 239258 239298 239376 "CHARPOL" 239458 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-145 238377 238938 238966 "CHARNZ" 239013 T CHARNZ (NIL) -9 NIL 239069 NIL) (-144 236366 237067 237402 "CHAR" 238062 T CHAR (NIL) -8 NIL NIL NIL) (-143 236092 236153 236181 "CFCAT" 236292 T CFCAT (NIL) -9 NIL NIL NIL) (-142 235337 235448 235630 "CDEN" 235976 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-141 231329 234490 234770 "CCLASS" 235077 T CCLASS (NIL) -8 NIL NIL NIL) (-140 230636 230779 230942 "CATEGORY" 231186 T -10 (NIL) -8 NIL NIL NIL) (-139 230268 230555 230603 "CATCTOR" 230608 T CATCTOR (NIL) -8 NIL NIL NIL) (-138 229746 229971 230069 "CATAST" 230190 T CATAST (NIL) -8 NIL NIL NIL) (-137 229249 229467 229559 "CASEAST" 229674 T CASEAST (NIL) -8 NIL NIL NIL) (-136 224285 225278 226031 "CARTEN" 228552 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-135 223393 223541 223762 "CARTEN2" 224132 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-134 221735 222543 222800 "CARD" 223156 T CARD (NIL) -8 NIL NIL NIL) (-133 221338 221539 221614 "CAPSLAST" 221680 T CAPSLAST (NIL) -8 NIL NIL NIL) (-132 220710 221038 221066 "CACHSET" 221198 T CACHSET (NIL) -9 NIL 221275 NIL) (-131 220206 220502 220530 "CABMON" 220580 T CABMON (NIL) -9 NIL 220636 NIL) (-130 219706 219910 220020 "BYTEORD" 220116 T BYTEORD (NIL) -8 NIL NIL NIL) (-129 218709 219240 219382 "BYTE" 219545 T BYTE (NIL) -8 NIL NIL 219667) (-128 214109 218214 218386 "BYTEBUF" 218557 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 211666 213801 213908 "BTREE" 214035 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 209163 211314 211436 "BTOURN" 211576 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 206580 208633 208674 "BTCAT" 208742 NIL BTCAT (NIL T) -9 NIL 208819 NIL) (-124 206247 206327 206476 "BTCAT-" 206481 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 201539 205390 205418 "BTAGG" 205640 T BTAGG (NIL) -9 NIL 205801 NIL) (-122 201029 201154 201360 "BTAGG-" 201365 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 198072 200307 200522 "BSTREE" 200846 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 197210 197336 197520 "BRILL" 197928 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 193909 195936 195977 "BRAGG" 196626 NIL BRAGG (NIL T) -9 NIL 196884 NIL) (-118 192438 192844 193399 "BRAGG-" 193404 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 185694 191784 191968 "BPADICRT" 192286 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 184036 185631 185676 "BPADIC" 185681 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 183734 183764 183878 "BOUNDZRO" 184000 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 178773 179938 180899 "BOP" 182793 T BOP (NIL) -8 NIL NIL NIL) (-113 176394 176838 177358 "BOP1" 178286 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 175096 175818 176011 "BOOLEAN" 176221 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 174458 174836 174890 "BMODULE" 174895 NIL BMODULE (NIL T T) -9 NIL 174960 NIL) (-110 170286 174256 174329 "BITS" 174405 T BITS (NIL) -8 NIL NIL NIL) (-109 169698 169820 169962 "BINDING" 170164 T BINDING (NIL) -8 NIL NIL NIL) (-108 163732 169295 169443 "BINARY" 169570 T BINARY (NIL) -8 NIL NIL NIL) (-107 161559 162987 163028 "BGAGG" 163288 NIL BGAGG (NIL T) -9 NIL 163425 NIL) (-106 161390 161422 161513 "BGAGG-" 161518 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 160488 160774 160979 "BFUNCT" 161205 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159178 159356 159644 "BEZOUT" 160312 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 155695 158030 158360 "BBTREE" 158881 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 155429 155482 155510 "BASTYPE" 155629 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155282 155310 155383 "BASTYPE-" 155388 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 154716 154792 154944 "BALFACT" 155193 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 153599 154131 154317 "AUTOMOR" 154561 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153325 153330 153356 "ATTREG" 153361 T ATTREG (NIL) -9 NIL NIL NIL) (-97 151604 152022 152374 "ATTRBUT" 152991 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151239 151432 151498 "ATTRAST" 151556 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 150775 150888 150914 "ATRIG" 151115 T ATRIG (NIL) -9 NIL NIL NIL) (-94 150584 150625 150712 "ATRIG-" 150717 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150255 150415 150441 "ASTCAT" 150446 T ASTCAT (NIL) -9 NIL 150476 NIL) (-92 149982 150041 150160 "ASTCAT-" 150165 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148179 149758 149846 "ASTACK" 149925 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 146684 146981 147346 "ASSOCEQ" 147861 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 145716 146343 146467 "ASP9" 146591 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145479 145664 145703 "ASP8" 145708 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144347 145084 145226 "ASP80" 145368 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143245 143982 144114 "ASP7" 144246 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142199 142922 143040 "ASP78" 143158 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141168 141879 141996 "ASP77" 142113 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 140080 140806 140937 "ASP74" 141068 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 138980 139715 139847 "ASP73" 139979 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138084 138806 138906 "ASP6" 138911 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 137028 137761 137879 "ASP55" 137997 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 135977 136702 136821 "ASP50" 136940 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 135065 135678 135788 "ASP4" 135898 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134153 134766 134876 "ASP49" 134986 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 132937 133692 133860 "ASP42" 134042 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 131713 132470 132640 "ASP41" 132824 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 130663 131390 131508 "ASP35" 131626 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130428 130611 130650 "ASP34" 130655 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130165 130232 130308 "ASP33" 130383 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 129058 129800 129932 "ASP31" 130064 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 128823 129006 129045 "ASP30" 129050 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 128558 128627 128703 "ASP29" 128778 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128323 128506 128545 "ASP28" 128550 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128088 128271 128310 "ASP27" 128315 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127172 127786 127897 "ASP24" 128008 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126248 126974 127086 "ASP20" 127091 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125336 125949 126059 "ASP1" 126169 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124278 125010 125129 "ASP19" 125248 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 124015 124082 124158 "ASP12" 124233 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 122867 123614 123758 "ASP10" 123902 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 120766 122711 122802 "ARRAY2" 122807 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116579 120414 120528 "ARRAY1" 120683 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 115611 115784 116005 "ARRAY12" 116402 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 109970 111841 111916 "ARR2CAT" 114546 NIL ARR2CAT (NIL T T T) -9 NIL 115304 NIL) (-56 107404 108148 109102 "ARR2CAT-" 109107 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 106996 107231 107310 "ARITY" 107343 T ARITY (NIL) -8 NIL NIL NIL) (-54 105744 105896 106202 "APPRULE" 106832 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105395 105443 105562 "APPLYORE" 105690 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104369 104660 104855 "ANY" 105218 T ANY (NIL) -8 NIL NIL NIL) (-51 103647 103770 103927 "ANY1" 104243 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101204 102084 102411 "ANTISYM" 103371 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 100723 100911 101007 "ANON" 101126 T ANON (NIL) -8 NIL NIL NIL) (-48 94847 99262 99716 "AN" 100287 T AN (NIL) -8 NIL NIL NIL) (-47 91095 92457 92508 "AMR" 93256 NIL AMR (NIL T T) -9 NIL 93856 NIL) (-46 90207 90428 90791 "AMR-" 90796 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74757 90124 90185 "ALIST" 90190 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71586 74351 74520 "ALGSC" 74675 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68141 68696 69303 "ALGPKG" 71026 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67418 67519 67703 "ALGMFACT" 68027 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63155 63842 64497 "ALGMANIP" 66941 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54552 62781 62931 "ALGFF" 63088 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 53748 53879 54058 "ALGFACT" 54410 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 52805 53379 53417 "ALGEBRA" 53422 NIL ALGEBRA (NIL T) -9 NIL 53463 NIL) (-37 52523 52582 52714 "ALGEBRA-" 52719 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34782 50525 50577 "ALAGG" 50713 NIL ALAGG (NIL T T) -9 NIL 50874 NIL) (-35 34318 34431 34457 "AHYP" 34658 T AHYP (NIL) -9 NIL NIL NIL) (-34 33249 33497 33523 "AGG" 34022 T AGG (NIL) -9 NIL 34301 NIL) (-33 32683 32845 33059 "AGG-" 33064 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30359 30782 31200 "AF" 32325 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 29866 30084 30174 "ADDAST" 30287 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29134 29393 29549 "ACPLOT" 29728 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18418 26347 26398 "ACFS" 27109 NIL ACFS (NIL T) -9 NIL 27348 NIL) (-28 16432 16922 17697 "ACFS-" 17702 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12697 14599 14625 "ACF" 15504 T ACF (NIL) -9 NIL 15916 NIL) (-26 11401 11735 12228 "ACF-" 12233 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 10999 11168 11194 "ABELSG" 11286 T ABELSG (NIL) -9 NIL 11351 NIL) (-24 10866 10891 10957 "ABELSG-" 10962 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10235 10496 10522 "ABELMON" 10692 T ABELMON (NIL) -9 NIL 10804 NIL) (-22 9899 9983 10121 "ABELMON-" 10126 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9233 9579 9605 "ABELGRP" 9730 T ABELGRP (NIL) -9 NIL 9812 NIL) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) 
-\ No newline at end of file
+((-3 3200540 3200545 3200550 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3200525 3200530 3200535 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3200510 3200515 3200520 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3200495 3200500 3200505 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1287 3199664 3200370 3200447 "ZMOD" 3200452 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1286 3198774 3198938 3199147 "ZLINDEP" 3199496 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1285 3188074 3189842 3191814 "ZDSOLVE" 3196904 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1284 3187320 3187461 3187650 "YSTREAM" 3187920 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1283 3185121 3186621 3186825 "XRPOLY" 3187163 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1282 3181701 3182992 3183567 "XPR" 3184593 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1281 3179449 3181032 3181236 "XPOLY" 3181532 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1280 3177232 3178574 3178629 "XPOLYC" 3178917 NIL XPOLYC (NIL T T) -9 NIL 3179030 NIL) (-1279 3173635 3175749 3176137 "XPBWPOLY" 3176890 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1278 3169538 3171798 3171840 "XF" 3172461 NIL XF (NIL T) -9 NIL 3172861 NIL) (-1277 3169159 3169247 3169416 "XF-" 3169421 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1276 3164485 3165748 3165803 "XFALG" 3167975 NIL XFALG (NIL T T) -9 NIL 3168764 NIL) (-1275 3163618 3163722 3163927 "XEXPPKG" 3164377 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1274 3161754 3163468 3163564 "XDPOLY" 3163569 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1273 3160691 3161265 3161308 "XALG" 3161313 NIL XALG (NIL T) -9 NIL 3161424 NIL) (-1272 3154160 3158668 3159162 "WUTSET" 3160283 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1271 3152443 3153212 3153535 "WP" 3153971 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1270 3152072 3152265 3152335 "WHILEAST" 3152395 T WHILEAST (NIL) -8 NIL NIL NIL) (-1269 3151571 3151789 3151883 "WHEREAST" 3152000 T WHEREAST (NIL) -8 NIL NIL NIL) (-1268 3150457 3150655 3150950 "WFFINTBS" 3151368 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1267 3148361 3148788 3149250 "WEIER" 3150029 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1266 3147508 3147932 3147974 "VSPACE" 3148110 NIL VSPACE (NIL T) -9 NIL 3148184 NIL) (-1265 3147346 3147373 3147464 "VSPACE-" 3147469 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1264 3147154 3147197 3147265 "VOID" 3147300 T VOID (NIL) -8 NIL NIL NIL) (-1263 3145290 3145649 3146055 "VIEW" 3146770 T VIEW (NIL) -7 NIL NIL NIL) (-1262 3141714 3142353 3143090 "VIEWDEF" 3144575 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1261 3131045 3133262 3135435 "VIEW3D" 3139563 T VIEW3D (NIL) -8 NIL NIL NIL) (-1260 3123323 3124956 3126535 "VIEW2D" 3129488 T VIEW2D (NIL) -8 NIL NIL NIL) (-1259 3118725 3123093 3123185 "VECTOR" 3123266 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1258 3117302 3117561 3117879 "VECTOR2" 3118455 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1257 3110829 3115086 3115129 "VECTCAT" 3116122 NIL VECTCAT (NIL T) -9 NIL 3116708 NIL) (-1256 3109843 3110097 3110487 "VECTCAT-" 3110492 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1255 3109324 3109494 3109614 "VARIABLE" 3109758 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1254 3109257 3109262 3109292 "UTYPE" 3109297 T UTYPE (NIL) -9 NIL NIL NIL) (-1253 3108087 3108241 3108503 "UTSODETL" 3109083 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1252 3105527 3105987 3106511 "UTSODE" 3107628 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1251 3097391 3103153 3103642 "UTS" 3105096 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3088626 3093958 3094001 "UTSCAT" 3095113 NIL UTSCAT (NIL T) -9 NIL 3095870 NIL) (-1249 3085974 3086696 3087685 "UTSCAT-" 3087690 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1248 3085601 3085644 3085777 "UTS2" 3085925 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1247 3079874 3082439 3082482 "URAGG" 3084552 NIL URAGG (NIL T) -9 NIL 3085275 NIL) (-1246 3076813 3077676 3078799 "URAGG-" 3078804 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1245 3072529 3075427 3075899 "UPXSSING" 3076477 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1244 3064622 3071776 3072049 "UPXS" 3072314 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1243 3057722 3064526 3064598 "UPXSCONS" 3064603 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1242 3047959 3054717 3054779 "UPXSCCA" 3055353 NIL UPXSCCA (NIL T T) -9 NIL 3055586 NIL) (-1241 3047597 3047682 3047856 "UPXSCCA-" 3047861 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1240 3037687 3044218 3044261 "UPXSCAT" 3044909 NIL UPXSCAT (NIL T) -9 NIL 3045517 NIL) (-1239 3037117 3037196 3037375 "UPXS2" 3037602 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1238 3035771 3036024 3036375 "UPSQFREE" 3036860 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1237 3029551 3032573 3032628 "UPSCAT" 3033789 NIL UPSCAT (NIL T T) -9 NIL 3034563 NIL) (-1236 3028755 3028962 3029289 "UPSCAT-" 3029294 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1235 3014597 3022603 3022646 "UPOLYC" 3024747 NIL UPOLYC (NIL T) -9 NIL 3025968 NIL) (-1234 3005925 3008351 3011498 "UPOLYC-" 3011503 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1233 3005552 3005595 3005728 "UPOLYC2" 3005876 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1232 2997118 3005235 3005364 "UP" 3005471 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1231 2996457 2996564 2996728 "UPMP" 2997007 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1230 2996010 2996091 2996230 "UPDIVP" 2996370 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1229 2994578 2994827 2995143 "UPDECOMP" 2995759 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1228 2993813 2993925 2994110 "UPCDEN" 2994462 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1227 2993332 2993401 2993550 "UP2" 2993738 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1226 2991847 2992536 2992813 "UNISEG" 2993090 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1225 2991062 2991189 2991394 "UNISEG2" 2991690 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1224 2990122 2990302 2990528 "UNIFACT" 2990878 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1223 2974081 2989299 2989550 "ULS" 2989929 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1222 2962107 2973985 2974057 "ULSCONS" 2974062 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1221 2944715 2956665 2956727 "ULSCCAT" 2957365 NIL ULSCCAT (NIL T T) -9 NIL 2957653 NIL) (-1220 2943765 2944010 2944398 "ULSCCAT-" 2944403 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1219 2933632 2940077 2940120 "ULSCAT" 2940983 NIL ULSCAT (NIL T) -9 NIL 2941713 NIL) (-1218 2933062 2933141 2933320 "ULS2" 2933547 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1217 2932179 2932662 2932769 "UINT8" 2932880 T UINT8 (NIL) -8 NIL NIL 2932965) (-1216 2931295 2931778 2931885 "UINT64" 2931996 T UINT64 (NIL) -8 NIL NIL 2932081) (-1215 2930411 2930894 2931001 "UINT32" 2931112 T UINT32 (NIL) -8 NIL NIL 2931197) (-1214 2929527 2930010 2930117 "UINT16" 2930228 T UINT16 (NIL) -8 NIL NIL 2930313) (-1213 2927922 2928853 2928883 "UFD" 2929095 T UFD (NIL) -9 NIL 2929209 NIL) (-1212 2927716 2927762 2927857 "UFD-" 2927862 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1211 2926798 2926981 2927197 "UDVO" 2927522 T UDVO (NIL) -7 NIL NIL NIL) (-1210 2924614 2925023 2925494 "UDPO" 2926362 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1209 2924547 2924552 2924582 "TYPE" 2924587 T TYPE (NIL) -9 NIL NIL NIL) (-1208 2924334 2924502 2924533 "TYPEAST" 2924538 T TYPEAST (NIL) -8 NIL NIL NIL) (-1207 2923305 2923507 2923747 "TWOFACT" 2924128 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1206 2922376 2922714 2922949 "TUPLE" 2923105 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1205 2920067 2920586 2921125 "TUBETOOL" 2921859 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1204 2918916 2919121 2919362 "TUBE" 2919860 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1203 2913672 2917888 2918171 "TS" 2918668 NIL TS (NIL T) -8 NIL NIL NIL) (-1202 2902339 2906431 2906528 "TSETCAT" 2911797 NIL TSETCAT (NIL T T T T) -9 NIL 2913328 NIL) (-1201 2897071 2898671 2900562 "TSETCAT-" 2900567 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1200 2891333 2892180 2893122 "TRMANIP" 2896207 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1199 2890774 2890837 2891000 "TRIMAT" 2891265 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1198 2888570 2888807 2889171 "TRIGMNIP" 2890523 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1197 2888090 2888203 2888233 "TRIGCAT" 2888446 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1196 2887759 2887838 2887979 "TRIGCAT-" 2887984 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1195 2884652 2886617 2886898 "TREE" 2887513 NIL TREE (NIL T) -8 NIL NIL NIL) (-1194 2883926 2884454 2884484 "TRANFUN" 2884519 T TRANFUN (NIL) -9 NIL 2884585 NIL) (-1193 2883205 2883396 2883676 "TRANFUN-" 2883681 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1192 2883009 2883041 2883102 "TOPSP" 2883166 T TOPSP (NIL) -7 NIL NIL NIL) (-1191 2882357 2882472 2882626 "TOOLSIGN" 2882890 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1190 2881018 2881534 2881773 "TEXTFILE" 2882140 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1189 2878957 2879471 2879900 "TEX" 2880611 T TEX (NIL) -8 NIL NIL NIL) (-1188 2878738 2878769 2878841 "TEX1" 2878920 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1187 2878386 2878449 2878539 "TEMUTL" 2878670 T TEMUTL (NIL) -7 NIL NIL NIL) (-1186 2876540 2876820 2877145 "TBCMPPK" 2878109 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1185 2868428 2874700 2874756 "TBAGG" 2875156 NIL TBAGG (NIL T T) -9 NIL 2875367 NIL) (-1184 2863498 2864986 2866740 "TBAGG-" 2866745 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1183 2862882 2862989 2863134 "TANEXP" 2863387 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1182 2856383 2862739 2862832 "TABLE" 2862837 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1181 2855795 2855894 2856032 "TABLEAU" 2856280 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1180 2850403 2851623 2852871 "TABLBUMP" 2854581 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1179 2849625 2849772 2849953 "SYSTEM" 2850244 T SYSTEM (NIL) -8 NIL NIL NIL) (-1178 2846084 2846783 2847566 "SYSSOLP" 2848876 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1177 2845118 2845596 2845715 "SYSNNI" 2845901 NIL SYSNNI (NIL NIL) -8 NIL NIL 2845986) (-1176 2844415 2844847 2844926 "SYSINT" 2844986 NIL SYSINT (NIL NIL) -8 NIL NIL 2845031) (-1175 2840774 2841693 2842403 "SYNTAX" 2843727 T SYNTAX (NIL) -8 NIL NIL NIL) (-1174 2837932 2838534 2839166 "SYMTAB" 2840164 T SYMTAB (NIL) -8 NIL NIL NIL) (-1173 2833181 2834083 2835066 "SYMS" 2836971 T SYMS (NIL) -8 NIL NIL NIL) (-1172 2830443 2832639 2832869 "SYMPOLY" 2832986 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1171 2829960 2830035 2830158 "SYMFUNC" 2830355 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1170 2826006 2827272 2828085 "SYMBOL" 2829169 T SYMBOL (NIL) -8 NIL NIL NIL) (-1169 2819545 2821234 2822954 "SWITCH" 2824308 T SWITCH (NIL) -8 NIL NIL NIL) (-1168 2812806 2818366 2818669 "SUTS" 2819300 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1167 2804899 2812053 2812326 "SUPXS" 2812591 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1166 2796414 2804517 2804643 "SUP" 2804808 NIL SUP (NIL T) -8 NIL NIL NIL) (-1165 2795573 2795700 2795917 "SUPFRACF" 2796282 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1164 2795194 2795253 2795366 "SUP2" 2795508 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1163 2793607 2793881 2794244 "SUMRF" 2794893 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1162 2792921 2792987 2793186 "SUMFS" 2793528 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1161 2776915 2792098 2792349 "SULS" 2792728 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1160 2776544 2776737 2776807 "SUCHTAST" 2776867 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1159 2775866 2776069 2776209 "SUCH" 2776452 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1158 2769760 2770772 2771731 "SUBSPACE" 2774954 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1157 2769190 2769280 2769444 "SUBRESP" 2769648 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1156 2762555 2763855 2765166 "STTF" 2767926 NIL STTF (NIL T) -7 NIL NIL NIL) (-1155 2756728 2757848 2758995 "STTFNC" 2761455 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1154 2748039 2749910 2751704 "STTAYLOR" 2754969 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1153 2741283 2747903 2747986 "STRTBL" 2747991 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1152 2736674 2741238 2741269 "STRING" 2741274 T STRING (NIL) -8 NIL NIL NIL) (-1151 2731562 2736047 2736077 "STRICAT" 2736136 T STRICAT (NIL) -9 NIL 2736198 NIL) (-1150 2724365 2729181 2729792 "STREAM" 2730986 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1149 2723875 2723952 2724096 "STREAM3" 2724282 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1148 2722857 2723040 2723275 "STREAM2" 2723688 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1147 2722545 2722597 2722690 "STREAM1" 2722799 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1146 2721561 2721742 2721973 "STINPROD" 2722361 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1145 2721139 2721323 2721353 "STEP" 2721433 T STEP (NIL) -9 NIL 2721511 NIL) (-1144 2714682 2721038 2721115 "STBL" 2721120 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1143 2709856 2713903 2713946 "STAGG" 2714099 NIL STAGG (NIL T) -9 NIL 2714188 NIL) (-1142 2707558 2708160 2709032 "STAGG-" 2709037 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1141 2705753 2707328 2707420 "STACK" 2707501 NIL STACK (NIL T) -8 NIL NIL NIL) (-1140 2698476 2703894 2704350 "SREGSET" 2705383 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1139 2690901 2692270 2693783 "SRDCMPK" 2697082 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2683868 2688341 2688371 "SRAGG" 2689674 T SRAGG (NIL) -9 NIL 2690282 NIL) (-1137 2682885 2683140 2683519 "SRAGG-" 2683524 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1136 2677372 2681832 2682253 "SQMATRIX" 2682511 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1135 2671119 2674090 2674817 "SPLTREE" 2676717 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1134 2667109 2667775 2668421 "SPLNODE" 2670545 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1133 2666156 2666389 2666419 "SPFCAT" 2666863 T SPFCAT (NIL) -9 NIL NIL NIL) (-1132 2664893 2665103 2665367 "SPECOUT" 2665914 T SPECOUT (NIL) -7 NIL NIL NIL) (-1131 2656545 2658289 2658319 "SPADXPT" 2662711 T SPADXPT (NIL) -9 NIL 2664745 NIL) (-1130 2656306 2656346 2656415 "SPADPRSR" 2656498 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1129 2654488 2656261 2656292 "SPADAST" 2656297 T SPADAST (NIL) -8 NIL NIL NIL) (-1128 2646459 2648206 2648249 "SPACEC" 2652622 NIL SPACEC (NIL T) -9 NIL 2654438 NIL) (-1127 2644616 2646391 2646440 "SPACE3" 2646445 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1126 2643368 2643539 2643830 "SORTPAK" 2644421 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1125 2641418 2641721 2642140 "SOLVETRA" 2643032 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1124 2640429 2640651 2640925 "SOLVESER" 2641191 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1123 2635640 2636530 2637532 "SOLVERAD" 2639481 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1122 2631455 2632064 2632793 "SOLVEFOR" 2635007 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1121 2625752 2630804 2630901 "SNTSCAT" 2630906 NIL SNTSCAT (NIL T T T T) -9 NIL 2630976 NIL) (-1120 2619885 2624075 2624466 "SMTS" 2625442 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1119 2614325 2619773 2619850 "SMP" 2619855 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1118 2612484 2612785 2613183 "SMITH" 2614022 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1117 2605371 2609535 2609638 "SMATCAT" 2610989 NIL SMATCAT (NIL NIL T T T) -9 NIL 2611539 NIL) (-1116 2602311 2603134 2604312 "SMATCAT-" 2604317 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1115 2600024 2601547 2601590 "SKAGG" 2601851 NIL SKAGG (NIL T) -9 NIL 2601986 NIL) (-1114 2596359 2599440 2599635 "SINT" 2599822 T SINT (NIL) -8 NIL NIL 2599995) (-1113 2596131 2596169 2596235 "SIMPAN" 2596315 T SIMPAN (NIL) -7 NIL NIL NIL) (-1112 2595437 2595666 2595806 "SIG" 2596013 T SIG (NIL) -8 NIL NIL NIL) (-1111 2594275 2594496 2594771 "SIGNRF" 2595196 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1110 2593080 2593231 2593522 "SIGNEF" 2594104 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1109 2592413 2592663 2592787 "SIGAST" 2592978 T SIGAST (NIL) -8 NIL NIL NIL) (-1108 2590103 2590557 2591063 "SHP" 2591954 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1107 2584003 2590004 2590080 "SHDP" 2590085 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1106 2583602 2583768 2583798 "SGROUP" 2583891 T SGROUP (NIL) -9 NIL 2583953 NIL) (-1105 2583460 2583486 2583559 "SGROUP-" 2583564 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1104 2580295 2580993 2581716 "SGCF" 2582759 T SGCF (NIL) -7 NIL NIL NIL) (-1103 2574690 2579742 2579839 "SFRTCAT" 2579844 NIL SFRTCAT (NIL T T T T) -9 NIL 2579883 NIL) (-1102 2568111 2569129 2570265 "SFRGCD" 2573673 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2561238 2562310 2563496 "SFQCMPK" 2567044 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2560860 2560949 2561059 "SFORT" 2561179 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1099 2560005 2560700 2560821 "SEXOF" 2560826 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1098 2559139 2559886 2559954 "SEX" 2559959 T SEX (NIL) -8 NIL NIL NIL) (-1097 2554678 2555367 2555462 "SEXCAT" 2558399 NIL SEXCAT (NIL T T T T T) -9 NIL 2558977 NIL) (-1096 2551858 2554612 2554660 "SET" 2554665 NIL SET (NIL T) -8 NIL NIL NIL) (-1095 2550109 2550571 2550876 "SETMN" 2551599 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1094 2549715 2549841 2549871 "SETCAT" 2549988 T SETCAT (NIL) -9 NIL 2550073 NIL) (-1093 2549495 2549547 2549646 "SETCAT-" 2549651 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1092 2545882 2547956 2547999 "SETAGG" 2548869 NIL SETAGG (NIL T) -9 NIL 2549209 NIL) (-1091 2545340 2545456 2545693 "SETAGG-" 2545698 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1090 2544810 2545036 2545137 "SEQAST" 2545261 T SEQAST (NIL) -8 NIL NIL NIL) (-1089 2544009 2544303 2544364 "SEGXCAT" 2544650 NIL SEGXCAT (NIL T T) -9 NIL 2544770 NIL) (-1088 2543063 2543675 2543857 "SEG" 2543862 NIL SEG (NIL T) -8 NIL NIL NIL) (-1087 2542042 2542256 2542299 "SEGCAT" 2542821 NIL SEGCAT (NIL T) -9 NIL 2543042 NIL) (-1086 2541091 2541421 2541621 "SEGBIND" 2541877 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1085 2540712 2540771 2540884 "SEGBIND2" 2541026 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1084 2540312 2540513 2540590 "SEGAST" 2540657 T SEGAST (NIL) -8 NIL NIL NIL) (-1083 2539531 2539657 2539861 "SEG2" 2540156 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1082 2538968 2539466 2539513 "SDVAR" 2539518 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1081 2531250 2538738 2538868 "SDPOL" 2538873 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1080 2529843 2530109 2530428 "SCPKG" 2530965 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1079 2529003 2529176 2529369 "SCOPE" 2529672 T SCOPE (NIL) -8 NIL NIL NIL) (-1078 2528223 2528357 2528536 "SCACHE" 2528858 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1077 2527895 2528055 2528085 "SASTCAT" 2528090 T SASTCAT (NIL) -9 NIL 2528103 NIL) (-1076 2527409 2527730 2527806 "SAOS" 2527841 T SAOS (NIL) -8 NIL NIL NIL) (-1075 2526974 2527009 2527182 "SAERFFC" 2527368 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1074 2520940 2526871 2526951 "SAE" 2526956 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1073 2520533 2520568 2520727 "SAEFACT" 2520899 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1072 2518854 2519168 2519569 "RURPK" 2520199 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1071 2517490 2517769 2518081 "RULESET" 2518688 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1070 2514677 2515180 2515645 "RULE" 2517171 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1069 2514316 2514471 2514554 "RULECOLD" 2514629 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1068 2513814 2514033 2514127 "RSTRCAST" 2514244 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1067 2508662 2509457 2510377 "RSETGCD" 2513013 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1066 2497919 2502971 2503068 "RSETCAT" 2507187 NIL RSETCAT (NIL T T T T) -9 NIL 2508284 NIL) (-1065 2495846 2496385 2497209 "RSETCAT-" 2497214 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1064 2488231 2489608 2491128 "RSDCMPK" 2494445 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1063 2486236 2486677 2486751 "RRCC" 2487837 NIL RRCC (NIL T T) -9 NIL 2488181 NIL) (-1062 2485587 2485761 2486040 "RRCC-" 2486045 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1061 2485057 2485283 2485384 "RPTAST" 2485508 T RPTAST (NIL) -8 NIL NIL NIL) (-1060 2459055 2468650 2468717 "RPOLCAT" 2479381 NIL RPOLCAT (NIL T T T) -9 NIL 2482540 NIL) (-1059 2450553 2452893 2456015 "RPOLCAT-" 2456020 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1058 2441600 2448764 2449246 "ROUTINE" 2450093 T ROUTINE (NIL) -8 NIL NIL NIL) (-1057 2438425 2441226 2441366 "ROMAN" 2441482 T ROMAN (NIL) -8 NIL NIL NIL) (-1056 2436696 2437285 2437545 "ROIRC" 2438230 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1055 2433081 2435332 2435362 "RNS" 2435666 T RNS (NIL) -9 NIL 2435939 NIL) (-1054 2431590 2431973 2432507 "RNS-" 2432582 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1053 2431039 2431421 2431451 "RNG" 2431456 T RNG (NIL) -9 NIL 2431477 NIL) (-1052 2430431 2430793 2430836 "RMODULE" 2430898 NIL RMODULE (NIL T) -9 NIL 2430940 NIL) (-1051 2429267 2429361 2429697 "RMCAT2" 2430332 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1050 2426144 2428613 2428910 "RMATRIX" 2429029 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1049 2419086 2421320 2421435 "RMATCAT" 2424794 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2425776 NIL) (-1048 2418461 2418608 2418915 "RMATCAT-" 2418920 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1047 2418028 2418103 2418231 "RINTERP" 2418380 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1046 2417147 2417675 2417705 "RING" 2417761 T RING (NIL) -9 NIL 2417853 NIL) (-1045 2416939 2416983 2417080 "RING-" 2417085 NIL RING- (NIL T) -8 NIL NIL NIL) (-1044 2415780 2416017 2416275 "RIDIST" 2416703 T RIDIST (NIL) -7 NIL NIL NIL) (-1043 2407096 2415248 2415454 "RGCHAIN" 2415628 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1042 2406472 2406852 2406893 "RGBCSPC" 2406951 NIL RGBCSPC (NIL T) -9 NIL 2407003 NIL) (-1041 2405656 2406011 2406052 "RGBCMDL" 2406284 NIL RGBCMDL (NIL T) -9 NIL 2406398 NIL) (-1040 2402650 2403264 2403934 "RF" 2405020 NIL RF (NIL T) -7 NIL NIL NIL) (-1039 2402296 2402359 2402462 "RFFACTOR" 2402581 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1038 2402021 2402056 2402153 "RFFACT" 2402255 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1037 2400138 2400502 2400884 "RFDIST" 2401661 T RFDIST (NIL) -7 NIL NIL NIL) (-1036 2399591 2399683 2399846 "RETSOL" 2400040 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1035 2399227 2399307 2399350 "RETRACT" 2399483 NIL RETRACT (NIL T) -9 NIL 2399570 NIL) (-1034 2399076 2399101 2399188 "RETRACT-" 2399193 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1033 2398705 2398898 2398968 "RETAST" 2399028 T RETAST (NIL) -8 NIL NIL NIL) (-1032 2391559 2398358 2398485 "RESULT" 2398600 T RESULT (NIL) -8 NIL NIL NIL) (-1031 2390177 2390828 2391027 "RESRING" 2391462 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1030 2389813 2389862 2389960 "RESLATC" 2390114 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1029 2389518 2389553 2389660 "REPSQ" 2389772 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1028 2386940 2387520 2388122 "REP" 2388938 T REP (NIL) -7 NIL NIL NIL) (-1027 2386637 2386672 2386783 "REPDB" 2386899 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1026 2380537 2381926 2383149 "REP2" 2385449 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1025 2376914 2377595 2378403 "REP1" 2379764 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1024 2369637 2375055 2375511 "REGSET" 2376544 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1023 2368450 2368785 2369035 "REF" 2369422 NIL REF (NIL T) -8 NIL NIL NIL) (-1022 2367827 2367930 2368097 "REDORDER" 2368334 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1021 2363822 2367040 2367267 "RECLOS" 2367655 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1020 2362874 2363055 2363270 "REALSOLV" 2363629 T REALSOLV (NIL) -7 NIL NIL NIL) (-1019 2362720 2362761 2362791 "REAL" 2362796 T REAL (NIL) -9 NIL 2362831 NIL) (-1018 2359203 2360005 2360889 "REAL0Q" 2361885 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1017 2354804 2355792 2356853 "REAL0" 2358184 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1016 2354302 2354521 2354615 "RDUCEAST" 2354732 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1015 2353707 2353779 2353986 "RDIV" 2354224 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1014 2352775 2352949 2353162 "RDIST" 2353529 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1013 2351372 2351659 2352031 "RDETRS" 2352483 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1012 2349184 2349638 2350176 "RDETR" 2350914 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1011 2347795 2348073 2348477 "RDEEFS" 2348900 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1010 2346290 2346596 2347028 "RDEEF" 2347483 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1009 2340543 2343426 2343456 "RCFIELD" 2344751 T RCFIELD (NIL) -9 NIL 2345481 NIL) (-1008 2338607 2339111 2339807 "RCFIELD-" 2339882 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1007 2334923 2336708 2336751 "RCAGG" 2337835 NIL RCAGG (NIL T) -9 NIL 2338300 NIL) (-1006 2334551 2334645 2334808 "RCAGG-" 2334813 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1005 2333886 2333998 2334163 "RATRET" 2334435 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1004 2333439 2333506 2333627 "RATFACT" 2333814 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1003 2332747 2332867 2333019 "RANDSRC" 2333309 T RANDSRC (NIL) -7 NIL NIL NIL) (-1002 2332481 2332525 2332598 "RADUTIL" 2332696 T RADUTIL (NIL) -7 NIL NIL NIL) (-1001 2325624 2331314 2331624 "RADIX" 2332205 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1000 2317270 2325466 2325596 "RADFF" 2325601 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-999 2316922 2316997 2317025 "RADCAT" 2317182 T RADCAT (NIL) -9 NIL NIL NIL) (-998 2316707 2316755 2316852 "RADCAT-" 2316857 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-997 2314858 2316482 2316571 "QUEUE" 2316651 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-996 2311426 2314795 2314840 "QUAT" 2314845 NIL QUAT (NIL T) -8 NIL NIL NIL) (-995 2311064 2311107 2311234 "QUATCT2" 2311377 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-994 2304803 2308113 2308153 "QUATCAT" 2308933 NIL QUATCAT (NIL T) -9 NIL 2309699 NIL) (-993 2300947 2301984 2303371 "QUATCAT-" 2303465 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-992 2298467 2300031 2300072 "QUAGG" 2300447 NIL QUAGG (NIL T) -9 NIL 2300622 NIL) (-991 2298099 2298292 2298360 "QQUTAST" 2298419 T QQUTAST (NIL) -8 NIL NIL NIL) (-990 2297024 2297497 2297669 "QFORM" 2297971 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-989 2288228 2293441 2293481 "QFCAT" 2294139 NIL QFCAT (NIL T) -9 NIL 2295140 NIL) (-988 2283800 2285001 2286592 "QFCAT-" 2286686 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-987 2283438 2283481 2283608 "QFCAT2" 2283751 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-986 2282898 2283008 2283138 "QEQUAT" 2283328 T QEQUAT (NIL) -8 NIL NIL NIL) (-985 2276045 2277117 2278301 "QCMPACK" 2281831 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-984 2273621 2274042 2274470 "QALGSET" 2275700 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-983 2272866 2273040 2273272 "QALGSET2" 2273441 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-982 2271556 2271780 2272097 "PWFFINTB" 2272639 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-981 2269738 2269906 2270260 "PUSHVAR" 2271370 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-980 2265656 2266710 2266751 "PTRANFN" 2268635 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-979 2264058 2264349 2264671 "PTPACK" 2265367 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-978 2263690 2263747 2263856 "PTFUNC2" 2263995 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-977 2258217 2262562 2262603 "PTCAT" 2262899 NIL PTCAT (NIL T) -9 NIL 2263052 NIL) (-976 2257875 2257910 2258034 "PSQFR" 2258176 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-975 2256470 2256768 2257102 "PSEUDLIN" 2257573 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-974 2243233 2245604 2247928 "PSETPK" 2254230 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-973 2236277 2238991 2239087 "PSETCAT" 2242108 NIL PSETCAT (NIL T T T T) -9 NIL 2242922 NIL) (-972 2234113 2234747 2235568 "PSETCAT-" 2235573 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-971 2233462 2233627 2233655 "PSCURVE" 2233923 T PSCURVE (NIL) -9 NIL 2234090 NIL) (-970 2229810 2231300 2231365 "PSCAT" 2232209 NIL PSCAT (NIL T T T) -9 NIL 2232449 NIL) (-969 2228873 2229089 2229489 "PSCAT-" 2229494 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-968 2227605 2228238 2228443 "PRTITION" 2228688 T PRTITION (NIL) -8 NIL NIL NIL) (-967 2227107 2227326 2227418 "PRTDAST" 2227533 T PRTDAST (NIL) -8 NIL NIL NIL) (-966 2216197 2218411 2220599 "PRS" 2224969 NIL PRS (NIL T T) -7 NIL NIL NIL) (-965 2214055 2215547 2215587 "PRQAGG" 2215770 NIL PRQAGG (NIL T) -9 NIL 2215872 NIL) (-964 2213441 2213670 2213698 "PROPLOG" 2213883 T PROPLOG (NIL) -9 NIL 2214005 NIL) (-963 2210611 2211255 2211719 "PROPFRML" 2213009 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-962 2210071 2210181 2210311 "PROPERTY" 2210501 T PROPERTY (NIL) -8 NIL NIL NIL) (-961 2204156 2208237 2209057 "PRODUCT" 2209297 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-960 2201461 2203614 2203848 "PR" 2203967 NIL PR (NIL T T) -8 NIL NIL NIL) (-959 2201257 2201289 2201348 "PRINT" 2201422 T PRINT (NIL) -7 NIL NIL NIL) (-958 2200597 2200714 2200866 "PRIMES" 2201137 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-957 2198662 2199063 2199529 "PRIMELT" 2200176 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-956 2198391 2198440 2198468 "PRIMCAT" 2198592 T PRIMCAT (NIL) -9 NIL NIL NIL) (-955 2194554 2198329 2198374 "PRIMARR" 2198379 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-954 2193561 2193739 2193967 "PRIMARR2" 2194372 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-953 2193204 2193260 2193371 "PREASSOC" 2193499 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-952 2192679 2192812 2192840 "PPCURVE" 2193045 T PPCURVE (NIL) -9 NIL 2193181 NIL) (-951 2192301 2192474 2192557 "PORTNUM" 2192616 T PORTNUM (NIL) -8 NIL NIL NIL) (-950 2189660 2190059 2190651 "POLYROOT" 2191882 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-949 2183597 2189264 2189424 "POLY" 2189533 NIL POLY (NIL T) -8 NIL NIL NIL) (-948 2182980 2183038 2183272 "POLYLIFT" 2183533 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-947 2179255 2179704 2180333 "POLYCATQ" 2182525 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-946 2166064 2171430 2171495 "POLYCAT" 2175009 NIL POLYCAT (NIL T T T) -9 NIL 2176937 NIL) (-945 2159513 2161375 2163759 "POLYCAT-" 2163764 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-944 2159100 2159168 2159288 "POLY2UP" 2159439 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-943 2158732 2158789 2158898 "POLY2" 2159037 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-942 2157417 2157656 2157932 "POLUTIL" 2158506 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-941 2155772 2156049 2156380 "POLTOPOL" 2157139 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-940 2151287 2155708 2155754 "POINT" 2155759 NIL POINT (NIL T) -8 NIL NIL NIL) (-939 2149474 2149831 2150206 "PNTHEORY" 2150932 T PNTHEORY (NIL) -7 NIL NIL NIL) (-938 2147893 2148190 2148602 "PMTOOLS" 2149172 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-937 2147486 2147564 2147681 "PMSYM" 2147809 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-936 2146996 2147065 2147239 "PMQFCAT" 2147411 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-935 2146351 2146461 2146617 "PMPRED" 2146873 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-934 2145747 2145833 2145994 "PMPREDFS" 2146252 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-933 2144390 2144598 2144983 "PMPLCAT" 2145509 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-932 2143922 2144001 2144153 "PMLSAGG" 2144305 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-931 2143397 2143473 2143654 "PMKERNEL" 2143840 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-930 2143014 2143089 2143202 "PMINS" 2143316 NIL PMINS (NIL T) -7 NIL NIL NIL) (-929 2142442 2142511 2142727 "PMFS" 2142939 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-928 2141670 2141788 2141993 "PMDOWN" 2142319 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-927 2140833 2140992 2141174 "PMASS" 2141508 T PMASS (NIL) -7 NIL NIL NIL) (-926 2140107 2140218 2140381 "PMASSFS" 2140719 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-925 2139762 2139830 2139924 "PLOTTOOL" 2140033 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-924 2134369 2135573 2136721 "PLOT" 2138634 T PLOT (NIL) -8 NIL NIL NIL) (-923 2130173 2131217 2132138 "PLOT3D" 2133468 T PLOT3D (NIL) -8 NIL NIL NIL) (-922 2129085 2129262 2129497 "PLOT1" 2129977 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-921 2104474 2109151 2114002 "PLEQN" 2124351 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-920 2103792 2103914 2104094 "PINTERP" 2104339 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-919 2103485 2103532 2103635 "PINTERPA" 2103739 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-918 2102733 2103254 2103341 "PI" 2103381 T PI (NIL) -8 NIL NIL 2103448) (-917 2101122 2102071 2102099 "PID" 2102281 T PID (NIL) -9 NIL 2102415 NIL) (-916 2100847 2100884 2100972 "PICOERCE" 2101079 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-915 2100167 2100306 2100482 "PGROEB" 2100703 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-914 2095754 2096568 2097473 "PGE" 2099282 T PGE (NIL) -7 NIL NIL NIL) (-913 2093877 2094124 2094490 "PGCD" 2095471 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-912 2093215 2093318 2093479 "PFRPAC" 2093761 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-911 2089883 2091763 2092116 "PFR" 2092894 NIL PFR (NIL T) -8 NIL NIL NIL) (-910 2088272 2088516 2088841 "PFOTOOLS" 2089630 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-909 2086805 2087044 2087395 "PFOQ" 2088029 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-908 2085278 2085490 2085853 "PFO" 2086589 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-907 2081858 2085167 2085236 "PF" 2085241 NIL PF (NIL NIL) -8 NIL NIL NIL) (-906 2079284 2080529 2080557 "PFECAT" 2081142 T PFECAT (NIL) -9 NIL 2081526 NIL) (-905 2078729 2078883 2079097 "PFECAT-" 2079102 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-904 2077332 2077584 2077885 "PFBRU" 2078478 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-903 2075197 2075550 2075982 "PFBR" 2076983 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-902 2071106 2072573 2073249 "PERM" 2074554 NIL PERM (NIL T) -8 NIL NIL NIL) (-901 2066367 2067313 2068183 "PERMGRP" 2070269 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-900 2064499 2065430 2065471 "PERMCAT" 2065917 NIL PERMCAT (NIL T) -9 NIL 2066222 NIL) (-899 2064152 2064193 2064317 "PERMAN" 2064452 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-898 2061688 2063817 2063939 "PENDTREE" 2064063 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-897 2059773 2060515 2060556 "PDRING" 2061213 NIL PDRING (NIL T) -9 NIL 2061499 NIL) (-896 2058876 2059094 2059456 "PDRING-" 2059461 NIL PDRING- (NIL T T) -8 NIL NIL NIL) (-895 2056118 2056869 2057537 "PDEPROB" 2058228 T PDEPROB (NIL) -8 NIL NIL NIL) (-894 2053663 2054167 2054722 "PDEPACK" 2055583 T PDEPACK (NIL) -7 NIL NIL NIL) (-893 2052575 2052765 2053016 "PDECOMP" 2053462 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-892 2050180 2050997 2051025 "PDECAT" 2051812 T PDECAT (NIL) -9 NIL 2052525 NIL) (-891 2049931 2049964 2050054 "PCOMP" 2050141 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-890 2048136 2048732 2049029 "PBWLB" 2049660 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-889 2040636 2042209 2043547 "PATTERN" 2046819 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-888 2040268 2040325 2040434 "PATTERN2" 2040573 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-887 2038025 2038413 2038870 "PATTERN1" 2039857 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-886 2035420 2035974 2036455 "PATRES" 2037590 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-885 2034984 2035051 2035183 "PATRES2" 2035347 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-884 2032867 2033272 2033679 "PATMATCH" 2034651 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-883 2032403 2032586 2032627 "PATMAB" 2032734 NIL PATMAB (NIL T) -9 NIL 2032817 NIL) (-882 2030948 2031257 2031515 "PATLRES" 2032208 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-881 2030494 2030617 2030658 "PATAB" 2030663 NIL PATAB (NIL T) -9 NIL 2030835 NIL) (-880 2027975 2028507 2029080 "PARTPERM" 2029941 T PARTPERM (NIL) -7 NIL NIL NIL) (-879 2027596 2027659 2027761 "PARSURF" 2027906 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-878 2027228 2027285 2027394 "PARSU2" 2027533 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-877 2026992 2027032 2027099 "PARSER" 2027181 T PARSER (NIL) -7 NIL NIL NIL) (-876 2026613 2026676 2026778 "PARSCURV" 2026923 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-875 2026245 2026302 2026411 "PARSC2" 2026550 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-874 2025884 2025942 2026039 "PARPCURV" 2026181 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-873 2025516 2025573 2025682 "PARPC2" 2025821 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-872 2025036 2025122 2025241 "PAN2EXPR" 2025417 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-871 2023840 2024157 2024385 "PALETTE" 2024828 T PALETTE (NIL) -8 NIL NIL NIL) (-870 2022308 2022845 2023205 "PAIR" 2023526 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-869 2016205 2021567 2021761 "PADICRC" 2022163 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-868 2009461 2015551 2015735 "PADICRAT" 2016053 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-867 2007803 2009398 2009443 "PADIC" 2009448 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-866 2005005 2006543 2006583 "PADICCT" 2007164 NIL PADICCT (NIL NIL) -9 NIL 2007446 NIL) (-865 2003962 2004162 2004430 "PADEPAC" 2004792 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-864 2003174 2003307 2003513 "PADE" 2003824 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-863 2001588 2002382 2002662 "OWP" 2002978 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-862 2001108 2001294 2001391 "OVERSET" 2001511 T OVERSET (NIL) -8 NIL NIL NIL) (-861 2000181 2000713 2000885 "OVAR" 2000976 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-860 1999445 1999566 1999727 "OUT" 2000040 T OUT (NIL) -7 NIL NIL NIL) (-859 1988343 1990554 1992754 "OUTFORM" 1997265 T OUTFORM (NIL) -8 NIL NIL NIL) (-858 1987679 1987940 1988067 "OUTBFILE" 1988236 T OUTBFILE (NIL) -8 NIL NIL NIL) (-857 1986986 1987151 1987179 "OUTBCON" 1987497 T OUTBCON (NIL) -9 NIL 1987663 NIL) (-856 1986587 1986699 1986856 "OUTBCON-" 1986861 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-855 1985994 1986316 1986405 "OSI" 1986518 T OSI (NIL) -8 NIL NIL NIL) (-854 1985550 1985862 1985890 "OSGROUP" 1985895 T OSGROUP (NIL) -9 NIL 1985917 NIL) (-853 1984295 1984522 1984807 "ORTHPOL" 1985297 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-852 1981873 1984130 1984251 "OREUP" 1984256 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-851 1979303 1981564 1981691 "ORESUP" 1981815 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-850 1976831 1977331 1977892 "OREPCTO" 1978792 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-849 1970647 1972822 1972863 "OREPCAT" 1975211 NIL OREPCAT (NIL T) -9 NIL 1976315 NIL) (-848 1967794 1968576 1969634 "OREPCAT-" 1969639 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-847 1966971 1967243 1967271 "ORDSET" 1967580 T ORDSET (NIL) -9 NIL 1967744 NIL) (-846 1966490 1966612 1966805 "ORDSET-" 1966810 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-845 1965116 1965881 1965909 "ORDRING" 1966111 T ORDRING (NIL) -9 NIL 1966236 NIL) (-844 1964761 1964855 1964999 "ORDRING-" 1965004 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-843 1964167 1964604 1964632 "ORDMON" 1964637 T ORDMON (NIL) -9 NIL 1964658 NIL) (-842 1963329 1963476 1963671 "ORDFUNS" 1964016 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-841 1962693 1963086 1963114 "ORDFIN" 1963179 T ORDFIN (NIL) -9 NIL 1963253 NIL) (-840 1959279 1961279 1961688 "ORDCOMP" 1962317 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-839 1958545 1958672 1958858 "ORDCOMP2" 1959139 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-838 1955153 1956036 1956850 "OPTPROB" 1957751 T OPTPROB (NIL) -8 NIL NIL NIL) (-837 1951955 1952594 1953298 "OPTPACK" 1954469 T OPTPACK (NIL) -7 NIL NIL NIL) (-836 1949668 1950408 1950436 "OPTCAT" 1951255 T OPTCAT (NIL) -9 NIL 1951905 NIL) (-835 1949111 1949345 1949450 "OPSIG" 1949583 T OPSIG (NIL) -8 NIL NIL NIL) (-834 1948879 1948918 1948984 "OPQUERY" 1949065 T OPQUERY (NIL) -7 NIL NIL NIL) (-833 1946037 1947190 1947694 "OP" 1948408 NIL OP (NIL T) -8 NIL NIL NIL) (-832 1945572 1945743 1945784 "OPERCAT" 1945919 NIL OPERCAT (NIL T) -9 NIL 1945987 NIL) (-831 1945418 1945445 1945531 "OPERCAT-" 1945536 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-830 1942257 1944215 1944584 "ONECOMP" 1945082 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-829 1941562 1941677 1941851 "ONECOMP2" 1942129 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-828 1940981 1941087 1941217 "OMSERVER" 1941452 T OMSERVER (NIL) -7 NIL NIL NIL) (-827 1937869 1940421 1940461 "OMSAGG" 1940522 NIL OMSAGG (NIL T) -9 NIL 1940586 NIL) (-826 1936492 1936755 1937037 "OMPKG" 1937607 T OMPKG (NIL) -7 NIL NIL NIL) (-825 1935922 1936025 1936053 "OM" 1936352 T OM (NIL) -9 NIL NIL NIL) (-824 1934496 1935471 1935640 "OMLO" 1935803 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-823 1933421 1933568 1933795 "OMEXPR" 1934322 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-822 1932739 1932967 1933103 "OMERR" 1933305 T OMERR (NIL) -8 NIL NIL NIL) (-821 1931917 1932160 1932320 "OMERRK" 1932599 T OMERRK (NIL) -8 NIL NIL NIL) (-820 1931395 1931594 1931702 "OMENC" 1931829 T OMENC (NIL) -8 NIL NIL NIL) (-819 1925290 1926475 1927646 "OMDEV" 1930244 T OMDEV (NIL) -8 NIL NIL NIL) (-818 1924359 1924530 1924724 "OMCONN" 1925116 T OMCONN (NIL) -8 NIL NIL NIL) (-817 1922972 1923922 1923950 "OINTDOM" 1923955 T OINTDOM (NIL) -9 NIL 1923976 NIL) (-816 1918778 1919962 1920678 "OFMONOID" 1922288 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-815 1918216 1918715 1918760 "ODVAR" 1918765 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-814 1915666 1917961 1918116 "ODR" 1918121 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-813 1908002 1915442 1915568 "ODPOL" 1915573 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-812 1901872 1907874 1907979 "ODP" 1907984 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-811 1900638 1900853 1901128 "ODETOOLS" 1901646 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-810 1897605 1898263 1898979 "ODESYS" 1899971 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-809 1892487 1893395 1894420 "ODERTRIC" 1896680 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-808 1891913 1891995 1892189 "ODERED" 1892399 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-807 1888801 1889349 1890026 "ODERAT" 1891336 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-806 1885758 1886225 1886822 "ODEPRRIC" 1888330 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-805 1883728 1884297 1884783 "ODEPROB" 1885292 T ODEPROB (NIL) -8 NIL NIL NIL) (-804 1880248 1880733 1881380 "ODEPRIM" 1883207 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-803 1879497 1879599 1879859 "ODEPAL" 1880140 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-802 1875659 1876450 1877314 "ODEPACK" 1878653 T ODEPACK (NIL) -7 NIL NIL NIL) (-801 1874692 1874799 1875028 "ODEINT" 1875548 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-800 1868793 1870218 1871665 "ODEIFTBL" 1873265 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-799 1864128 1864914 1865873 "ODEEF" 1867952 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-798 1863463 1863552 1863782 "ODECONST" 1864033 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-797 1861614 1862249 1862277 "ODECAT" 1862882 T ODECAT (NIL) -9 NIL 1863413 NIL) (-796 1858513 1861326 1861445 "OCT" 1861527 NIL OCT (NIL T) -8 NIL NIL NIL) (-795 1858151 1858194 1858321 "OCTCT2" 1858464 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-794 1852917 1855325 1855365 "OC" 1856462 NIL OC (NIL T) -9 NIL 1857320 NIL) (-793 1850144 1850892 1851882 "OC-" 1851976 NIL OC- (NIL T T) -8 NIL NIL NIL) (-792 1849522 1849964 1849992 "OCAMON" 1849997 T OCAMON (NIL) -9 NIL 1850018 NIL) (-791 1849079 1849394 1849422 "OASGP" 1849427 T OASGP (NIL) -9 NIL 1849447 NIL) (-790 1848366 1848829 1848857 "OAMONS" 1848897 T OAMONS (NIL) -9 NIL 1848940 NIL) (-789 1847806 1848213 1848241 "OAMON" 1848246 T OAMON (NIL) -9 NIL 1848266 NIL) (-788 1847110 1847602 1847630 "OAGROUP" 1847635 T OAGROUP (NIL) -9 NIL 1847655 NIL) (-787 1846800 1846850 1846938 "NUMTUBE" 1847054 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-786 1840373 1841891 1843427 "NUMQUAD" 1845284 T NUMQUAD (NIL) -7 NIL NIL NIL) (-785 1836129 1837117 1838142 "NUMODE" 1839368 T NUMODE (NIL) -7 NIL NIL NIL) (-784 1833510 1834364 1834392 "NUMINT" 1835315 T NUMINT (NIL) -9 NIL 1836079 NIL) (-783 1832458 1832655 1832873 "NUMFMT" 1833312 T NUMFMT (NIL) -7 NIL NIL NIL) (-782 1818817 1821762 1824294 "NUMERIC" 1829965 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-781 1813214 1818266 1818361 "NTSCAT" 1818366 NIL NTSCAT (NIL T T T T) -9 NIL 1818405 NIL) (-780 1812408 1812573 1812766 "NTPOLFN" 1813053 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-779 1800240 1809233 1810045 "NSUP" 1811629 NIL NSUP (NIL T) -8 NIL NIL NIL) (-778 1799872 1799929 1800038 "NSUP2" 1800177 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-777 1789855 1799646 1799779 "NSMP" 1799784 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-776 1788287 1788588 1788945 "NREP" 1789543 NIL NREP (NIL T) -7 NIL NIL NIL) (-775 1786878 1787130 1787488 "NPCOEF" 1788030 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-774 1785944 1786059 1786275 "NORMRETR" 1786759 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-773 1783985 1784275 1784684 "NORMPK" 1785652 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-772 1783670 1783698 1783822 "NORMMA" 1783951 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-771 1783497 1783627 1783656 "NONE" 1783661 T NONE (NIL) -8 NIL NIL NIL) (-770 1783286 1783315 1783384 "NONE1" 1783461 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-769 1782769 1782831 1783017 "NODE1" 1783218 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-768 1781039 1781863 1782118 "NNI" 1782465 T NNI (NIL) -8 NIL NIL 1782700) (-767 1779459 1779772 1780136 "NLINSOL" 1780707 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-766 1775727 1776695 1777594 "NIPROB" 1778580 T NIPROB (NIL) -8 NIL NIL NIL) (-765 1774484 1774718 1775020 "NFINTBAS" 1775489 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-764 1773658 1774134 1774175 "NETCLT" 1774347 NIL NETCLT (NIL T) -9 NIL 1774429 NIL) (-763 1772366 1772597 1772878 "NCODIV" 1773426 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-762 1772128 1772165 1772240 "NCNTFRAC" 1772323 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-761 1770308 1770672 1771092 "NCEP" 1771753 NIL NCEP (NIL T) -7 NIL NIL NIL) (-760 1769205 1769952 1769980 "NASRING" 1770090 T NASRING (NIL) -9 NIL 1770170 NIL) (-759 1769000 1769044 1769138 "NASRING-" 1769143 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-758 1768153 1768652 1768680 "NARNG" 1768797 T NARNG (NIL) -9 NIL 1768888 NIL) (-757 1767845 1767912 1768046 "NARNG-" 1768051 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-756 1766724 1766931 1767166 "NAGSP" 1767630 T NAGSP (NIL) -7 NIL NIL NIL) (-755 1757996 1759680 1761353 "NAGS" 1765071 T NAGS (NIL) -7 NIL NIL NIL) (-754 1756544 1756852 1757183 "NAGF07" 1757685 T NAGF07 (NIL) -7 NIL NIL NIL) (-753 1751082 1752373 1753680 "NAGF04" 1755257 T NAGF04 (NIL) -7 NIL NIL NIL) (-752 1744050 1745664 1747297 "NAGF02" 1749469 T NAGF02 (NIL) -7 NIL NIL NIL) (-751 1739274 1740374 1741491 "NAGF01" 1742953 T NAGF01 (NIL) -7 NIL NIL NIL) (-750 1732902 1734468 1736053 "NAGE04" 1737709 T NAGE04 (NIL) -7 NIL NIL NIL) (-749 1724071 1726192 1728322 "NAGE02" 1730792 T NAGE02 (NIL) -7 NIL NIL NIL) (-748 1720024 1720971 1721935 "NAGE01" 1723127 T NAGE01 (NIL) -7 NIL NIL NIL) (-747 1717819 1718353 1718911 "NAGD03" 1719486 T NAGD03 (NIL) -7 NIL NIL NIL) (-746 1709569 1711497 1713451 "NAGD02" 1715885 T NAGD02 (NIL) -7 NIL NIL NIL) (-745 1703380 1704805 1706245 "NAGD01" 1708149 T NAGD01 (NIL) -7 NIL NIL NIL) (-744 1699589 1700411 1701248 "NAGC06" 1702563 T NAGC06 (NIL) -7 NIL NIL NIL) (-743 1698054 1698386 1698742 "NAGC05" 1699253 T NAGC05 (NIL) -7 NIL NIL NIL) (-742 1697430 1697549 1697693 "NAGC02" 1697930 T NAGC02 (NIL) -7 NIL NIL NIL) (-741 1696490 1697047 1697087 "NAALG" 1697166 NIL NAALG (NIL T) -9 NIL 1697227 NIL) (-740 1696325 1696354 1696444 "NAALG-" 1696449 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-739 1690275 1691383 1692570 "MULTSQFR" 1695221 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-738 1689594 1689669 1689853 "MULTFACT" 1690187 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-737 1682679 1686557 1686610 "MTSCAT" 1687680 NIL MTSCAT (NIL T T) -9 NIL 1688194 NIL) (-736 1682391 1682445 1682537 "MTHING" 1682619 NIL MTHING (NIL T) -7 NIL NIL NIL) (-735 1682183 1682216 1682276 "MSYSCMD" 1682351 T MSYSCMD (NIL) -7 NIL NIL NIL) (-734 1678292 1680938 1681258 "MSET" 1681896 NIL MSET (NIL T) -8 NIL NIL NIL) (-733 1675387 1677853 1677894 "MSETAGG" 1677899 NIL MSETAGG (NIL T) -9 NIL 1677933 NIL) (-732 1671255 1672766 1673511 "MRING" 1674687 NIL MRING (NIL T T) -8 NIL NIL NIL) (-731 1670821 1670888 1671019 "MRF2" 1671182 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-730 1670439 1670474 1670618 "MRATFAC" 1670780 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-729 1668051 1668346 1668777 "MPRFF" 1670144 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-728 1662103 1667905 1668002 "MPOLY" 1668007 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-727 1661593 1661628 1661836 "MPCPF" 1662062 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-726 1661107 1661150 1661334 "MPC3" 1661544 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-725 1660302 1660383 1660604 "MPC2" 1661022 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-724 1658603 1658940 1659330 "MONOTOOL" 1659962 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-723 1657854 1658145 1658173 "MONOID" 1658392 T MONOID (NIL) -9 NIL 1658539 NIL) (-722 1657400 1657519 1657700 "MONOID-" 1657705 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-721 1648251 1654167 1654226 "MONOGEN" 1654900 NIL MONOGEN (NIL T T) -9 NIL 1655356 NIL) (-720 1645469 1646204 1647204 "MONOGEN-" 1647323 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-719 1644328 1644748 1644776 "MONADWU" 1645168 T MONADWU (NIL) -9 NIL 1645406 NIL) (-718 1643700 1643859 1644107 "MONADWU-" 1644112 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-717 1643085 1643303 1643331 "MONAD" 1643538 T MONAD (NIL) -9 NIL 1643650 NIL) (-716 1642770 1642848 1642980 "MONAD-" 1642985 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-715 1641086 1641683 1641962 "MOEBIUS" 1642523 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-714 1640478 1640856 1640896 "MODULE" 1640901 NIL MODULE (NIL T) -9 NIL 1640927 NIL) (-713 1640046 1640142 1640332 "MODULE-" 1640337 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-712 1637753 1638410 1638737 "MODRING" 1639870 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-711 1634724 1635858 1636379 "MODOP" 1637282 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-710 1633339 1633791 1634068 "MODMONOM" 1634587 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-709 1623136 1631630 1632044 "MODMON" 1632976 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-708 1620319 1621980 1622256 "MODFIELD" 1623011 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-707 1619323 1619600 1619790 "MMLFORM" 1620149 T MMLFORM (NIL) -8 NIL NIL NIL) (-706 1618849 1618892 1619071 "MMAP" 1619274 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-705 1617058 1617799 1617840 "MLO" 1618263 NIL MLO (NIL T) -9 NIL 1618505 NIL) (-704 1614424 1614940 1615542 "MLIFT" 1616539 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-703 1613815 1613899 1614053 "MKUCFUNC" 1614335 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-702 1613414 1613484 1613607 "MKRECORD" 1613738 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-701 1612461 1612623 1612851 "MKFUNC" 1613225 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-700 1611849 1611953 1612109 "MKFLCFN" 1612344 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-699 1611392 1611759 1611818 "MKCHSET" 1611823 NIL MKCHSET (NIL T) -8 NIL NIL NIL) (-698 1610669 1610771 1610956 "MKBCFUNC" 1611285 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-697 1607403 1610223 1610359 "MINT" 1610553 T MINT (NIL) -8 NIL NIL NIL) (-696 1606215 1606458 1606735 "MHROWRED" 1607158 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-695 1601622 1604750 1605155 "MFLOAT" 1605830 T MFLOAT (NIL) -8 NIL NIL NIL) (-694 1600979 1601055 1601226 "MFINFACT" 1601534 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-693 1597294 1598142 1599026 "MESH" 1600115 T MESH (NIL) -7 NIL NIL NIL) (-692 1595684 1595996 1596349 "MDDFACT" 1596981 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-691 1592526 1594843 1594884 "MDAGG" 1595139 NIL MDAGG (NIL T) -9 NIL 1595282 NIL) (-690 1582296 1591819 1592026 "MCMPLX" 1592339 T MCMPLX (NIL) -8 NIL NIL NIL) (-689 1581437 1581583 1581783 "MCDEN" 1582145 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-688 1579327 1579597 1579977 "MCALCFN" 1581167 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-687 1578252 1578492 1578725 "MAYBE" 1579133 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-686 1575864 1576387 1576949 "MATSTOR" 1577723 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-685 1571869 1575236 1575484 "MATRIX" 1575649 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-684 1567633 1568342 1569078 "MATLIN" 1571226 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-683 1557787 1560925 1561002 "MATCAT" 1565882 NIL MATCAT (NIL T T T) -9 NIL 1567299 NIL) (-682 1554143 1555164 1556520 "MATCAT-" 1556525 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-681 1552737 1552890 1553223 "MATCAT2" 1553978 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-680 1550849 1551173 1551557 "MAPPKG3" 1552412 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-679 1549830 1550003 1550225 "MAPPKG2" 1550673 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-678 1548329 1548613 1548940 "MAPPKG1" 1549536 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-677 1547435 1547735 1547912 "MAPPAST" 1548172 T MAPPAST (NIL) -8 NIL NIL NIL) (-676 1547046 1547104 1547227 "MAPHACK3" 1547371 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-675 1546638 1546699 1546813 "MAPHACK2" 1546978 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-674 1546075 1546179 1546321 "MAPHACK1" 1546529 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-673 1544181 1544775 1545079 "MAGMA" 1545803 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-672 1543687 1543905 1543996 "MACROAST" 1544110 T MACROAST (NIL) -8 NIL NIL NIL) (-671 1540153 1541926 1542387 "M3D" 1543259 NIL M3D (NIL T) -8 NIL NIL NIL) (-670 1534307 1538522 1538563 "LZSTAGG" 1539345 NIL LZSTAGG (NIL T) -9 NIL 1539640 NIL) (-669 1530264 1531438 1532895 "LZSTAGG-" 1532900 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-668 1527378 1528155 1528642 "LWORD" 1529809 NIL LWORD (NIL T) -8 NIL NIL NIL) (-667 1526981 1527182 1527257 "LSTAST" 1527323 T LSTAST (NIL) -8 NIL NIL NIL) (-666 1520174 1526752 1526886 "LSQM" 1526891 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-665 1519398 1519537 1519765 "LSPP" 1520029 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-664 1517210 1517511 1517967 "LSMP" 1519087 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-663 1513989 1514663 1515393 "LSMP1" 1516512 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-662 1507914 1513156 1513197 "LSAGG" 1513259 NIL LSAGG (NIL T) -9 NIL 1513337 NIL) (-661 1504609 1505533 1506746 "LSAGG-" 1506751 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-660 1502235 1503753 1504002 "LPOLY" 1504404 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-659 1501817 1501902 1502025 "LPEFRAC" 1502144 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-658 1500164 1500911 1501164 "LO" 1501649 NIL LO (NIL T T T) -8 NIL NIL NIL) (-657 1499816 1499928 1499956 "LOGIC" 1500067 T LOGIC (NIL) -9 NIL 1500148 NIL) (-656 1499678 1499701 1499772 "LOGIC-" 1499777 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-655 1498871 1499011 1499204 "LODOOPS" 1499534 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-654 1496321 1498787 1498853 "LODO" 1498858 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-653 1494859 1495094 1495447 "LODOF" 1496068 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-652 1491207 1493612 1493653 "LODOCAT" 1494091 NIL LODOCAT (NIL T) -9 NIL 1494302 NIL) (-651 1490940 1490998 1491125 "LODOCAT-" 1491130 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-650 1488287 1490781 1490899 "LODO2" 1490904 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-649 1485749 1488224 1488269 "LODO1" 1488274 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-648 1484609 1484774 1485086 "LODEEF" 1485572 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-647 1479895 1482739 1482780 "LNAGG" 1483727 NIL LNAGG (NIL T) -9 NIL 1484171 NIL) (-646 1479042 1479256 1479598 "LNAGG-" 1479603 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-645 1475205 1475967 1476606 "LMOPS" 1478457 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-644 1474600 1474962 1475003 "LMODULE" 1475064 NIL LMODULE (NIL T) -9 NIL 1475106 NIL) (-643 1471846 1474245 1474368 "LMDICT" 1474510 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-642 1471572 1471754 1471814 "LITERAL" 1471819 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-641 1464803 1470518 1470816 "LIST" 1471307 NIL LIST (NIL T) -8 NIL NIL NIL) (-640 1464328 1464402 1464541 "LIST3" 1464723 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-639 1463335 1463513 1463741 "LIST2" 1464146 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-638 1461469 1461781 1462180 "LIST2MAP" 1462982 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-637 1460191 1460835 1460876 "LINEXP" 1461131 NIL LINEXP (NIL T) -9 NIL 1461280 NIL) (-636 1458838 1459098 1459395 "LINDEP" 1459943 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-635 1455605 1456324 1457101 "LIMITRF" 1458093 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-634 1453880 1454176 1454592 "LIMITPS" 1455300 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-633 1448335 1453391 1453619 "LIE" 1453701 NIL LIE (NIL T T) -8 NIL NIL NIL) (-632 1447384 1447827 1447867 "LIECAT" 1448007 NIL LIECAT (NIL T) -9 NIL 1448158 NIL) (-631 1447225 1447252 1447340 "LIECAT-" 1447345 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-630 1439837 1446674 1446839 "LIB" 1447080 T LIB (NIL) -8 NIL NIL NIL) (-629 1435472 1436355 1437290 "LGROBP" 1438954 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-628 1433338 1433612 1433974 "LF" 1435193 NIL LF (NIL T T) -7 NIL NIL NIL) (-627 1432178 1432870 1432898 "LFCAT" 1433105 T LFCAT (NIL) -9 NIL 1433244 NIL) (-626 1429080 1429710 1430398 "LEXTRIPK" 1431542 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-625 1425851 1426650 1427153 "LEXP" 1428660 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-624 1425354 1425572 1425664 "LETAST" 1425779 T LETAST (NIL) -8 NIL NIL NIL) (-623 1423752 1424065 1424466 "LEADCDET" 1425036 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-622 1422942 1423016 1423245 "LAZM3PK" 1423673 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-621 1417886 1421019 1421557 "LAUPOL" 1422454 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-620 1417451 1417495 1417663 "LAPLACE" 1417836 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-619 1415417 1416552 1416803 "LA" 1417284 NIL LA (NIL T T T) -8 NIL NIL NIL) (-618 1414490 1415048 1415089 "LALG" 1415151 NIL LALG (NIL T) -9 NIL 1415210 NIL) (-617 1414204 1414263 1414399 "LALG-" 1414404 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-616 1414039 1414063 1414104 "KVTFROM" 1414166 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-615 1412839 1413256 1413485 "KTVLOGIC" 1413830 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-614 1412674 1412698 1412739 "KRCFROM" 1412801 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-613 1411578 1411765 1412064 "KOVACIC" 1412474 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-612 1411413 1411437 1411478 "KONVERT" 1411540 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-611 1411248 1411272 1411313 "KOERCE" 1411375 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-610 1408982 1409742 1410135 "KERNEL" 1410887 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-609 1408484 1408565 1408695 "KERNEL2" 1408896 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-608 1402335 1407023 1407077 "KDAGG" 1407454 NIL KDAGG (NIL T T) -9 NIL 1407660 NIL) (-607 1401864 1401988 1402193 "KDAGG-" 1402198 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-606 1395039 1401525 1401680 "KAFILE" 1401742 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-605 1389494 1394550 1394778 "JORDAN" 1394860 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-604 1388900 1389143 1389264 "JOINAST" 1389393 T JOINAST (NIL) -8 NIL NIL NIL) (-603 1388746 1388805 1388860 "JAVACODE" 1388865 T JAVACODE (NIL) -8 NIL NIL NIL) (-602 1385045 1386951 1387005 "IXAGG" 1387934 NIL IXAGG (NIL T T) -9 NIL 1388393 NIL) (-601 1383964 1384270 1384689 "IXAGG-" 1384694 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1379544 1383886 1383945 "IVECTOR" 1383950 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-599 1378310 1378547 1378813 "ITUPLE" 1379311 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-598 1376746 1376923 1377229 "ITRIGMNP" 1378132 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-597 1375491 1375695 1375978 "ITFUN3" 1376522 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-596 1375123 1375180 1375289 "ITFUN2" 1375428 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-595 1372952 1373985 1374284 "ITAYLOR" 1374857 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-594 1361924 1367089 1368252 "ISUPS" 1371822 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-593 1361028 1361168 1361404 "ISUMP" 1361771 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-592 1356292 1360829 1360908 "ISTRING" 1360981 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-591 1355795 1356013 1356105 "ISAST" 1356220 T ISAST (NIL) -8 NIL NIL NIL) (-590 1355005 1355086 1355302 "IRURPK" 1355709 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-589 1353941 1354142 1354382 "IRSN" 1354785 T IRSN (NIL) -7 NIL NIL NIL) (-588 1351970 1352325 1352761 "IRRF2F" 1353579 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-587 1351717 1351755 1351831 "IRREDFFX" 1351926 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-586 1350332 1350591 1350890 "IROOT" 1351450 NIL IROOT (NIL T) -7 NIL NIL NIL) (-585 1346963 1348016 1348708 "IR" 1349672 NIL IR (NIL T) -8 NIL NIL NIL) (-584 1344576 1345071 1345637 "IR2" 1346441 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-583 1343648 1343761 1343982 "IR2F" 1344459 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-582 1343439 1343473 1343533 "IPRNTPK" 1343608 T IPRNTPK (NIL) -7 NIL NIL NIL) (-581 1340046 1343328 1343397 "IPF" 1343402 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-580 1338400 1339971 1340028 "IPADIC" 1340033 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-579 1337739 1337960 1338090 "IP4ADDR" 1338290 T IP4ADDR (NIL) -8 NIL NIL NIL) (-578 1337239 1337443 1337553 "IOMODE" 1337649 T IOMODE (NIL) -8 NIL NIL NIL) (-577 1336312 1336836 1336963 "IOBFILE" 1337132 T IOBFILE (NIL) -8 NIL NIL NIL) (-576 1335800 1336216 1336244 "IOBCON" 1336249 T IOBCON (NIL) -9 NIL 1336270 NIL) (-575 1335297 1335355 1335545 "INVLAPLA" 1335736 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-574 1324945 1327299 1329685 "INTTR" 1332961 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-573 1321289 1322031 1322895 "INTTOOLS" 1324130 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-572 1320875 1320966 1321083 "INTSLPE" 1321192 T INTSLPE (NIL) -7 NIL NIL NIL) (-571 1318856 1320798 1320857 "INTRVL" 1320862 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-570 1316458 1316970 1317545 "INTRF" 1318341 NIL INTRF (NIL T) -7 NIL NIL NIL) (-569 1315869 1315966 1316108 "INTRET" 1316356 NIL INTRET (NIL T) -7 NIL NIL NIL) (-568 1313866 1314255 1314725 "INTRAT" 1315477 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-567 1311094 1311677 1312303 "INTPM" 1313351 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-566 1307796 1308396 1309141 "INTPAF" 1310480 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-565 1302975 1303937 1304988 "INTPACK" 1306765 T INTPACK (NIL) -7 NIL NIL NIL) (-564 1299879 1302704 1302831 "INT" 1302868 T INT (NIL) -8 NIL NIL NIL) (-563 1299131 1299283 1299491 "INTHERTR" 1299721 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-562 1298570 1298650 1298838 "INTHERAL" 1299045 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-561 1296416 1296859 1297316 "INTHEORY" 1298133 T INTHEORY (NIL) -7 NIL NIL NIL) (-560 1287724 1289345 1291124 "INTG0" 1294768 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-559 1268297 1273087 1277897 "INTFTBL" 1282934 T INTFTBL (NIL) -8 NIL NIL NIL) (-558 1267546 1267684 1267857 "INTFACT" 1268156 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-557 1264931 1265377 1265941 "INTEF" 1267100 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-556 1263390 1264103 1264131 "INTDOM" 1264432 T INTDOM (NIL) -9 NIL 1264639 NIL) (-555 1262759 1262933 1263175 "INTDOM-" 1263180 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-554 1259246 1261143 1261197 "INTCAT" 1261996 NIL INTCAT (NIL T) -9 NIL 1262316 NIL) (-553 1258718 1258821 1258949 "INTBIT" 1259138 T INTBIT (NIL) -7 NIL NIL NIL) (-552 1257389 1257543 1257857 "INTALG" 1258563 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-551 1256846 1256936 1257106 "INTAF" 1257293 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-550 1250300 1256656 1256796 "INTABL" 1256801 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-549 1249631 1250070 1250135 "INT8" 1250169 T INT8 (NIL) -8 NIL NIL 1250214) (-548 1248961 1249400 1249465 "INT64" 1249499 T INT64 (NIL) -8 NIL NIL 1249544) (-547 1248291 1248730 1248795 "INT32" 1248829 T INT32 (NIL) -8 NIL NIL 1248874) (-546 1247621 1248060 1248125 "INT16" 1248159 T INT16 (NIL) -8 NIL NIL 1248204) (-545 1242628 1245310 1245338 "INS" 1246272 T INS (NIL) -9 NIL 1246937 NIL) (-544 1239868 1240639 1241613 "INS-" 1241686 NIL INS- (NIL T) -8 NIL NIL NIL) (-543 1238643 1238870 1239168 "INPSIGN" 1239621 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-542 1237761 1237878 1238075 "INPRODPF" 1238523 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-541 1236655 1236772 1237009 "INPRODFF" 1237641 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-540 1235655 1235807 1236067 "INNMFACT" 1236491 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-539 1234852 1234949 1235137 "INMODGCD" 1235554 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-538 1233360 1233605 1233929 "INFSP" 1234597 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-537 1232544 1232661 1232844 "INFPROD0" 1233240 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-536 1229426 1230609 1231124 "INFORM" 1232037 T INFORM (NIL) -8 NIL NIL NIL) (-535 1229036 1229096 1229194 "INFORM1" 1229361 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-534 1228559 1228648 1228762 "INFINITY" 1228942 T INFINITY (NIL) -7 NIL NIL NIL) (-533 1227735 1228279 1228380 "INETCLTS" 1228478 T INETCLTS (NIL) -8 NIL NIL NIL) (-532 1226351 1226601 1226922 "INEP" 1227483 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-531 1225627 1226248 1226313 "INDE" 1226318 NIL INDE (NIL T) -8 NIL NIL NIL) (-530 1225191 1225259 1225376 "INCRMAPS" 1225554 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-529 1224009 1224460 1224666 "INBFILE" 1225005 T INBFILE (NIL) -8 NIL NIL NIL) (-528 1219309 1220245 1221189 "INBFF" 1223097 NIL INBFF (NIL T) -7 NIL NIL NIL) (-527 1218217 1218486 1218514 "INBCON" 1219027 T INBCON (NIL) -9 NIL 1219293 NIL) (-526 1217469 1217692 1217968 "INBCON-" 1217973 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-525 1216975 1217193 1217284 "INAST" 1217398 T INAST (NIL) -8 NIL NIL NIL) (-524 1216429 1216654 1216760 "IMPTAST" 1216889 T IMPTAST (NIL) -8 NIL NIL NIL) (-523 1212923 1216273 1216377 "IMATRIX" 1216382 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-522 1211635 1211758 1212073 "IMATQF" 1212779 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-521 1209855 1210082 1210419 "IMATLIN" 1211391 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-520 1204481 1209779 1209837 "ILIST" 1209842 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-519 1202434 1204341 1204454 "IIARRAY2" 1204459 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-518 1197859 1202345 1202409 "IFF" 1202414 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-517 1197233 1197476 1197592 "IFAST" 1197763 T IFAST (NIL) -8 NIL NIL NIL) (-516 1192276 1196525 1196713 "IFARRAY" 1197090 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-515 1191483 1192180 1192253 "IFAMON" 1192258 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-514 1191067 1191132 1191186 "IEVALAB" 1191393 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-513 1190742 1190810 1190970 "IEVALAB-" 1190975 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-512 1190400 1190656 1190719 "IDPO" 1190724 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-511 1189677 1190289 1190364 "IDPOAMS" 1190369 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-510 1189011 1189566 1189641 "IDPOAM" 1189646 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-509 1188096 1188346 1188399 "IDPC" 1188812 NIL IDPC (NIL T T) -9 NIL 1188961 NIL) (-508 1187592 1187988 1188061 "IDPAM" 1188066 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-507 1186995 1187484 1187557 "IDPAG" 1187562 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-506 1186667 1186831 1186906 "IDENT" 1186940 T IDENT (NIL) -8 NIL NIL NIL) (-505 1182922 1183770 1184665 "IDECOMP" 1185824 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-504 1175786 1176845 1177892 "IDEAL" 1181958 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-503 1174950 1175062 1175261 "ICDEN" 1175670 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-502 1174048 1174430 1174577 "ICARD" 1174823 T ICARD (NIL) -8 NIL NIL NIL) (-501 1172108 1172421 1172826 "IBPTOOLS" 1173725 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-500 1167742 1171728 1171841 "IBITS" 1172027 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-499 1164465 1165041 1165736 "IBATOOL" 1167159 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-498 1162244 1162706 1163239 "IBACHIN" 1164000 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-497 1160121 1162090 1162193 "IARRAY2" 1162198 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-496 1156275 1160047 1160104 "IARRAY1" 1160109 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-495 1150259 1154687 1155168 "IAN" 1155814 T IAN (NIL) -8 NIL NIL NIL) (-494 1149770 1149827 1150000 "IALGFACT" 1150196 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-493 1149298 1149411 1149439 "HYPCAT" 1149646 T HYPCAT (NIL) -9 NIL NIL NIL) (-492 1148836 1148953 1149139 "HYPCAT-" 1149144 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-491 1148458 1148631 1148714 "HOSTNAME" 1148773 T HOSTNAME (NIL) -8 NIL NIL NIL) (-490 1148303 1148340 1148381 "HOMOTOP" 1148386 NIL HOMOTOP (NIL T) -9 NIL 1148419 NIL) (-489 1144982 1146313 1146354 "HOAGG" 1147335 NIL HOAGG (NIL T) -9 NIL 1148014 NIL) (-488 1143576 1143975 1144501 "HOAGG-" 1144506 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-487 1137607 1143171 1143320 "HEXADEC" 1143447 T HEXADEC (NIL) -8 NIL NIL NIL) (-486 1136355 1136577 1136840 "HEUGCD" 1137384 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-485 1135458 1136192 1136322 "HELLFDIV" 1136327 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-484 1133685 1135235 1135323 "HEAP" 1135402 NIL HEAP (NIL T) -8 NIL NIL NIL) (-483 1132975 1133237 1133371 "HEADAST" 1133571 T HEADAST (NIL) -8 NIL NIL NIL) (-482 1126889 1132890 1132952 "HDP" 1132957 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-481 1120632 1126524 1126676 "HDMP" 1126790 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-480 1119956 1120096 1120260 "HB" 1120488 T HB (NIL) -7 NIL NIL NIL) (-479 1113453 1119802 1119906 "HASHTBL" 1119911 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-478 1112956 1113174 1113266 "HASAST" 1113381 T HASAST (NIL) -8 NIL NIL NIL) (-477 1110761 1112578 1112760 "HACKPI" 1112794 T HACKPI (NIL) -8 NIL NIL NIL) (-476 1106456 1110614 1110727 "GTSET" 1110732 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-475 1099982 1106334 1106432 "GSTBL" 1106437 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-474 1092287 1099013 1099278 "GSERIES" 1099773 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-473 1091454 1091845 1091873 "GROUP" 1092076 T GROUP (NIL) -9 NIL 1092210 NIL) (-472 1090820 1090979 1091230 "GROUP-" 1091235 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-471 1089187 1089508 1089895 "GROEBSOL" 1090497 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-470 1088127 1088389 1088440 "GRMOD" 1088969 NIL GRMOD (NIL T T) -9 NIL 1089137 NIL) (-469 1087895 1087931 1088059 "GRMOD-" 1088064 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-468 1083212 1084249 1085249 "GRIMAGE" 1086915 T GRIMAGE (NIL) -8 NIL NIL NIL) (-467 1081678 1081939 1082263 "GRDEF" 1082908 T GRDEF (NIL) -7 NIL NIL NIL) (-466 1081122 1081238 1081379 "GRAY" 1081557 T GRAY (NIL) -7 NIL NIL NIL) (-465 1080335 1080715 1080766 "GRALG" 1080919 NIL GRALG (NIL T T) -9 NIL 1081012 NIL) (-464 1079996 1080069 1080232 "GRALG-" 1080237 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-463 1076800 1079581 1079759 "GPOLSET" 1079903 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-462 1076154 1076211 1076469 "GOSPER" 1076737 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-461 1071913 1072592 1073118 "GMODPOL" 1075853 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-460 1070918 1071102 1071340 "GHENSEL" 1071725 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-459 1064969 1065812 1066839 "GENUPS" 1070002 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-458 1064666 1064717 1064806 "GENUFACT" 1064912 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-457 1064078 1064155 1064320 "GENPGCD" 1064584 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-456 1063552 1063587 1063800 "GENMFACT" 1064037 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-455 1062118 1062375 1062682 "GENEEZ" 1063295 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-454 1056019 1061729 1061891 "GDMP" 1062041 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-453 1045388 1049790 1050896 "GCNAALG" 1055002 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-452 1043807 1044643 1044671 "GCDDOM" 1044926 T GCDDOM (NIL) -9 NIL 1045083 NIL) (-451 1043277 1043404 1043619 "GCDDOM-" 1043624 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-450 1041949 1042134 1042438 "GB" 1043056 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-449 1030565 1032895 1035287 "GBINTERN" 1039640 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-448 1028402 1028694 1029115 "GBF" 1030240 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-447 1027183 1027348 1027615 "GBEUCLID" 1028218 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-446 1026532 1026657 1026806 "GAUSSFAC" 1027054 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-445 1024899 1025201 1025515 "GALUTIL" 1026251 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-444 1023207 1023481 1023805 "GALPOLYU" 1024626 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-443 1020572 1020862 1021269 "GALFACTU" 1022904 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-442 1012378 1013877 1015485 "GALFACT" 1019004 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-441 1009766 1010424 1010452 "FVFUN" 1011608 T FVFUN (NIL) -9 NIL 1012328 NIL) (-440 1009032 1009214 1009242 "FVC" 1009533 T FVC (NIL) -9 NIL 1009716 NIL) (-439 1008702 1008857 1008925 "FUNDESC" 1008984 T FUNDESC (NIL) -8 NIL NIL NIL) (-438 1008344 1008499 1008580 "FUNCTION" 1008654 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-437 1006115 1006666 1007132 "FT" 1007898 T FT (NIL) -8 NIL NIL NIL) (-436 1004933 1005416 1005619 "FTEM" 1005932 T FTEM (NIL) -8 NIL NIL NIL) (-435 1003189 1003478 1003882 "FSUPFACT" 1004624 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-434 1001586 1001875 1002207 "FST" 1002877 T FST (NIL) -8 NIL NIL NIL) (-433 1000757 1000863 1001058 "FSRED" 1001468 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-432 999435 999691 1000045 "FSPRMELT" 1000472 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-431 996520 996958 997457 "FSPECF" 998998 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-430 978574 987023 987063 "FS" 990911 NIL FS (NIL T) -9 NIL 993200 NIL) (-429 967221 970214 974270 "FS-" 974567 NIL FS- (NIL T T) -8 NIL NIL NIL) (-428 966735 966789 966966 "FSINT" 967162 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-427 965054 965728 966031 "FSERIES" 966514 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-426 964068 964184 964415 "FSCINT" 964934 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-425 960302 963012 963053 "FSAGG" 963423 NIL FSAGG (NIL T) -9 NIL 963682 NIL) (-424 958064 958665 959461 "FSAGG-" 959556 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-423 957106 957249 957476 "FSAGG2" 957917 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-422 954760 955040 955594 "FS2UPS" 956824 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-421 954342 954385 954540 "FS2" 954711 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-420 953199 953370 953679 "FS2EXPXP" 954167 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-419 952625 952740 952892 "FRUTIL" 953079 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-418 944065 948120 949478 "FR" 951299 NIL FR (NIL T) -8 NIL NIL NIL) (-417 939140 941783 941823 "FRNAALG" 943219 NIL FRNAALG (NIL T) -9 NIL 943826 NIL) (-416 934813 935889 937164 "FRNAALG-" 937914 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-415 934451 934494 934621 "FRNAAF2" 934764 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-414 932858 933305 933600 "FRMOD" 934263 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-413 930636 931241 931558 "FRIDEAL" 932649 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-412 929831 929918 930207 "FRIDEAL2" 930543 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-411 928964 929378 929419 "FRETRCT" 929424 NIL FRETRCT (NIL T) -9 NIL 929600 NIL) (-410 928076 928307 928658 "FRETRCT-" 928663 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-409 925280 926464 926523 "FRAMALG" 927405 NIL FRAMALG (NIL T T) -9 NIL 927697 NIL) (-408 923414 923869 924499 "FRAMALG-" 924722 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-407 917362 922889 923165 "FRAC" 923170 NIL FRAC (NIL T) -8 NIL NIL NIL) (-406 916998 917055 917162 "FRAC2" 917299 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-405 916634 916691 916798 "FR2" 916935 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-404 911299 914159 914187 "FPS" 915306 T FPS (NIL) -9 NIL 915863 NIL) (-403 910748 910857 911021 "FPS-" 911167 NIL FPS- (NIL T) -8 NIL NIL NIL) (-402 908194 909837 909865 "FPC" 910090 T FPC (NIL) -9 NIL 910232 NIL) (-401 907987 908027 908124 "FPC-" 908129 NIL FPC- (NIL T) -8 NIL NIL NIL) (-400 906865 907475 907516 "FPATMAB" 907521 NIL FPATMAB (NIL T) -9 NIL 907673 NIL) (-399 904565 905041 905467 "FPARFRAC" 906502 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-398 899958 900457 901139 "FORTRAN" 903997 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-397 897674 898174 898713 "FORT" 899439 T FORT (NIL) -7 NIL NIL NIL) (-396 895350 895912 895940 "FORTFN" 897000 T FORTFN (NIL) -9 NIL 897624 NIL) (-395 895114 895164 895192 "FORTCAT" 895251 T FORTCAT (NIL) -9 NIL 895313 NIL) (-394 893247 893730 894120 "FORMULA" 894744 T FORMULA (NIL) -8 NIL NIL NIL) (-393 893035 893065 893134 "FORMULA1" 893211 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-392 892558 892610 892783 "FORDER" 892977 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-391 891654 891818 892011 "FOP" 892385 T FOP (NIL) -7 NIL NIL NIL) (-390 890262 890934 891108 "FNLA" 891536 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-389 889017 889406 889434 "FNCAT" 889894 T FNCAT (NIL) -9 NIL 890154 NIL) (-388 888583 888976 889004 "FNAME" 889009 T FNAME (NIL) -8 NIL NIL NIL) (-387 887238 888175 888203 "FMTC" 888208 T FMTC (NIL) -9 NIL 888244 NIL) (-386 883598 884761 885390 "FMONOID" 886642 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-385 882817 883340 883489 "FM" 883494 NIL FM (NIL T T) -8 NIL NIL NIL) (-384 880241 880887 880915 "FMFUN" 882059 T FMFUN (NIL) -9 NIL 882767 NIL) (-383 879510 879691 879719 "FMC" 880009 T FMC (NIL) -9 NIL 880191 NIL) (-382 876704 877538 877592 "FMCAT" 878787 NIL FMCAT (NIL T T) -9 NIL 879282 NIL) (-381 875597 876470 876570 "FM1" 876649 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-380 873371 873787 874281 "FLOATRP" 875148 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-379 866972 871100 871721 "FLOAT" 872770 T FLOAT (NIL) -8 NIL NIL NIL) (-378 864410 864910 865488 "FLOATCP" 866439 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-377 863211 864023 864064 "FLINEXP" 864069 NIL FLINEXP (NIL T) -9 NIL 864162 NIL) (-376 862365 862600 862928 "FLINEXP-" 862933 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-375 861441 861585 861809 "FLASORT" 862217 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-374 858658 859500 859552 "FLALG" 860779 NIL FLALG (NIL T T) -9 NIL 861246 NIL) (-373 852442 856144 856185 "FLAGG" 857447 NIL FLAGG (NIL T) -9 NIL 858099 NIL) (-372 851168 851507 851997 "FLAGG-" 852002 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-371 850210 850353 850580 "FLAGG2" 851021 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-370 847177 848159 848218 "FINRALG" 849346 NIL FINRALG (NIL T T) -9 NIL 849854 NIL) (-369 846337 846566 846905 "FINRALG-" 846910 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-368 845743 845956 845984 "FINITE" 846180 T FINITE (NIL) -9 NIL 846287 NIL) (-367 838201 840362 840402 "FINAALG" 844069 NIL FINAALG (NIL T) -9 NIL 845522 NIL) (-366 833533 834583 835727 "FINAALG-" 837106 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-365 832928 833288 833391 "FILE" 833463 NIL FILE (NIL T) -8 NIL NIL NIL) (-364 831612 831924 831978 "FILECAT" 832662 NIL FILECAT (NIL T T) -9 NIL 832878 NIL) (-363 829472 830974 831002 "FIELD" 831042 T FIELD (NIL) -9 NIL 831122 NIL) (-362 828092 828477 828988 "FIELD-" 828993 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-361 825969 826727 827074 "FGROUP" 827778 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-360 825059 825223 825443 "FGLMICPK" 825801 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-359 820918 824984 825041 "FFX" 825046 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-358 820519 820580 820715 "FFSLPE" 820851 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-357 816508 817291 818087 "FFPOLY" 819755 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-356 816012 816048 816257 "FFPOLY2" 816466 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-355 811882 815931 815994 "FFP" 815999 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-354 807307 811793 811857 "FF" 811862 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-353 802460 806650 806840 "FFNBX" 807161 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-352 797416 801595 801853 "FFNBP" 802314 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-351 792076 796700 796911 "FFNB" 797249 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-350 790908 791106 791421 "FFINTBAS" 791873 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-349 787128 789315 789343 "FFIELDC" 789963 T FFIELDC (NIL) -9 NIL 790339 NIL) (-348 785790 786161 786658 "FFIELDC-" 786663 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-347 785359 785405 785529 "FFHOM" 785732 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-346 783054 783541 784058 "FFF" 784874 NIL FFF (NIL T) -7 NIL NIL NIL) (-345 778699 782796 782897 "FFCGX" 782997 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-344 774347 778431 778538 "FFCGP" 778642 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-343 769557 774074 774182 "FFCG" 774283 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-342 751382 760428 760514 "FFCAT" 765679 NIL FFCAT (NIL T T T) -9 NIL 767130 NIL) (-341 746580 747627 748941 "FFCAT-" 750171 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-340 745991 746034 746269 "FFCAT2" 746531 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-339 735188 738963 740183 "FEXPR" 744843 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-338 734188 734623 734664 "FEVALAB" 734748 NIL FEVALAB (NIL T) -9 NIL 735009 NIL) (-337 733347 733557 733895 "FEVALAB-" 733900 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-336 731940 732730 732933 "FDIV" 733246 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-335 729006 729721 729836 "FDIVCAT" 731404 NIL FDIVCAT (NIL T T T T) -9 NIL 731841 NIL) (-334 728768 728795 728965 "FDIVCAT-" 728970 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-333 727988 728075 728352 "FDIV2" 728675 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-332 726674 726933 727222 "FCPAK1" 727719 T FCPAK1 (NIL) -7 NIL NIL NIL) (-331 725800 726174 726315 "FCOMP" 726565 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-330 709529 712950 716488 "FC" 722282 T FC (NIL) -8 NIL NIL NIL) (-329 702100 706093 706133 "FAXF" 707935 NIL FAXF (NIL T) -9 NIL 708627 NIL) (-328 699376 700034 700859 "FAXF-" 701324 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-327 694476 698752 698928 "FARRAY" 699233 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-326 689721 691761 691814 "FAMR" 692837 NIL FAMR (NIL T T) -9 NIL 693297 NIL) (-325 688611 688913 689348 "FAMR-" 689353 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-324 687807 688533 688586 "FAMONOID" 688591 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-323 685619 686303 686356 "FAMONC" 687297 NIL FAMONC (NIL T T) -9 NIL 687683 NIL) (-322 684311 685373 685510 "FAGROUP" 685515 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-321 682106 682425 682828 "FACUTIL" 683992 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-320 681205 681390 681612 "FACTFUNC" 681916 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-319 673602 680456 680668 "EXPUPXS" 681061 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-318 671085 671625 672211 "EXPRTUBE" 673036 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-317 667279 667871 668608 "EXPRODE" 670424 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-316 652645 665934 666362 "EXPR" 666883 NIL EXPR (NIL T) -8 NIL NIL NIL) (-315 647052 647639 648452 "EXPR2UPS" 651943 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-314 646688 646745 646852 "EXPR2" 646989 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-313 638085 645820 646117 "EXPEXPAN" 646525 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-312 637912 638042 638071 "EXIT" 638076 T EXIT (NIL) -8 NIL NIL NIL) (-311 637419 637636 637727 "EXITAST" 637841 T EXITAST (NIL) -8 NIL NIL NIL) (-310 637046 637108 637221 "EVALCYC" 637351 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-309 636587 636705 636746 "EVALAB" 636916 NIL EVALAB (NIL T) -9 NIL 637020 NIL) (-308 636068 636190 636411 "EVALAB-" 636416 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-307 633528 634804 634832 "EUCDOM" 635387 T EUCDOM (NIL) -9 NIL 635737 NIL) (-306 631933 632375 632965 "EUCDOM-" 632970 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-305 619471 622231 624981 "ESTOOLS" 629203 T ESTOOLS (NIL) -7 NIL NIL NIL) (-304 619103 619160 619269 "ESTOOLS2" 619408 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-303 618854 618896 618976 "ESTOOLS1" 619055 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-302 612759 614487 614515 "ES" 617283 T ES (NIL) -9 NIL 618692 NIL) (-301 607706 608993 610810 "ES-" 610974 NIL ES- (NIL T) -8 NIL NIL NIL) (-300 604080 604841 605621 "ESCONT" 606946 T ESCONT (NIL) -7 NIL NIL NIL) (-299 603825 603857 603939 "ESCONT1" 604042 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-298 603500 603550 603650 "ES2" 603769 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-297 603130 603188 603297 "ES1" 603436 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-296 602346 602475 602651 "ERROR" 602974 T ERROR (NIL) -7 NIL NIL NIL) (-295 595849 602205 602296 "EQTBL" 602301 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-294 588400 591163 592612 "EQ" 594433 NIL -2064 (NIL T) -8 NIL NIL NIL) (-293 588032 588089 588198 "EQ2" 588337 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-292 583321 584370 585463 "EP" 586971 NIL EP (NIL T) -7 NIL NIL NIL) (-291 581899 582196 582508 "ENV" 583029 T ENV (NIL) -8 NIL NIL NIL) (-290 581070 581598 581626 "ENTIRER" 581631 T ENTIRER (NIL) -9 NIL 581677 NIL) (-289 577564 579025 579395 "EMR" 580869 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-288 576708 576893 576947 "ELTAGG" 577327 NIL ELTAGG (NIL T T) -9 NIL 577538 NIL) (-287 576427 576489 576630 "ELTAGG-" 576635 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-286 576216 576245 576299 "ELTAB" 576383 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-285 575342 575488 575687 "ELFUTS" 576067 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-284 575084 575140 575168 "ELEMFUN" 575273 T ELEMFUN (NIL) -9 NIL NIL NIL) (-283 574954 574975 575043 "ELEMFUN-" 575048 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-282 569845 573054 573095 "ELAGG" 574035 NIL ELAGG (NIL T) -9 NIL 574498 NIL) (-281 568130 568564 569227 "ELAGG-" 569232 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-280 566795 567073 567366 "ELABEXPR" 567857 T ELABEXPR (NIL) -8 NIL NIL NIL) (-279 559659 561462 562289 "EFUPXS" 566071 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-278 553109 554910 555720 "EFULS" 558935 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-277 550531 550889 551368 "EFSTRUC" 552741 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-276 539602 541168 542728 "EF" 549046 NIL EF (NIL T T) -7 NIL NIL NIL) (-275 538703 539087 539236 "EAB" 539473 T EAB (NIL) -8 NIL NIL NIL) (-274 537912 538662 538690 "E04UCFA" 538695 T E04UCFA (NIL) -8 NIL NIL NIL) (-273 537121 537871 537899 "E04NAFA" 537904 T E04NAFA (NIL) -8 NIL NIL NIL) (-272 536330 537080 537108 "E04MBFA" 537113 T E04MBFA (NIL) -8 NIL NIL NIL) (-271 535539 536289 536317 "E04JAFA" 536322 T E04JAFA (NIL) -8 NIL NIL NIL) (-270 534750 535498 535526 "E04GCFA" 535531 T E04GCFA (NIL) -8 NIL NIL NIL) (-269 533961 534709 534737 "E04FDFA" 534742 T E04FDFA (NIL) -8 NIL NIL NIL) (-268 533170 533920 533948 "E04DGFA" 533953 T E04DGFA (NIL) -8 NIL NIL NIL) (-267 527343 528695 530059 "E04AGNT" 531826 T E04AGNT (NIL) -7 NIL NIL NIL) (-266 526049 526529 526569 "DVARCAT" 527044 NIL DVARCAT (NIL T) -9 NIL 527243 NIL) (-265 525253 525465 525779 "DVARCAT-" 525784 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-264 518145 525052 525181 "DSMP" 525186 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-263 512954 514090 515158 "DROPT" 517097 T DROPT (NIL) -8 NIL NIL NIL) (-262 512619 512678 512776 "DROPT1" 512889 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-261 507734 508860 509997 "DROPT0" 511502 T DROPT0 (NIL) -7 NIL NIL NIL) (-260 506079 506404 506790 "DRAWPT" 507368 T DRAWPT (NIL) -7 NIL NIL NIL) (-259 500666 501589 502668 "DRAW" 505053 NIL DRAW (NIL T) -7 NIL NIL NIL) (-258 500299 500352 500470 "DRAWHACK" 500607 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-257 499030 499299 499590 "DRAWCX" 500028 T DRAWCX (NIL) -7 NIL NIL NIL) (-256 498545 498614 498765 "DRAWCURV" 498956 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-255 489013 490975 493090 "DRAWCFUN" 496450 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-254 485826 487708 487749 "DQAGG" 488378 NIL DQAGG (NIL T) -9 NIL 488651 NIL) (-253 474097 480804 480887 "DPOLCAT" 482739 NIL DPOLCAT (NIL T T T T) -9 NIL 483284 NIL) (-252 468933 470282 472240 "DPOLCAT-" 472245 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-251 462082 468794 468892 "DPMO" 468897 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-250 455134 461862 462029 "DPMM" 462034 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-249 454766 455053 455101 "DOMCTOR" 455106 T DOMCTOR (NIL) -8 NIL NIL NIL) (-248 454061 454288 454425 "DOMAIN" 454649 T DOMAIN (NIL) -8 NIL NIL NIL) (-247 447804 453696 453848 "DMP" 453962 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-246 447404 447460 447604 "DLP" 447742 NIL DLP (NIL T) -7 NIL NIL NIL) (-245 441274 446731 446921 "DLIST" 447246 NIL DLIST (NIL T) -8 NIL NIL NIL) (-244 438118 440127 440168 "DLAGG" 440718 NIL DLAGG (NIL T) -9 NIL 440948 NIL) (-243 436923 437561 437589 "DIVRING" 437681 T DIVRING (NIL) -9 NIL 437764 NIL) (-242 436160 436350 436650 "DIVRING-" 436655 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-241 434262 434619 435025 "DISPLAY" 435774 T DISPLAY (NIL) -7 NIL NIL NIL) (-240 428198 434176 434239 "DIRPROD" 434244 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-239 427046 427249 427514 "DIRPROD2" 427991 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-238 416303 422261 422314 "DIRPCAT" 422724 NIL DIRPCAT (NIL NIL T) -9 NIL 423564 NIL) (-237 413629 414271 415152 "DIRPCAT-" 415489 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-236 412916 413076 413262 "DIOSP" 413463 T DIOSP (NIL) -7 NIL NIL NIL) (-235 409618 411828 411869 "DIOPS" 412303 NIL DIOPS (NIL T) -9 NIL 412532 NIL) (-234 409167 409281 409472 "DIOPS-" 409477 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-233 408051 408653 408681 "DIFRING" 408868 T DIFRING (NIL) -9 NIL 408978 NIL) (-232 407697 407774 407926 "DIFRING-" 407931 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-231 405494 406740 406781 "DIFEXT" 407144 NIL DIFEXT (NIL T) -9 NIL 407438 NIL) (-230 403779 404207 404873 "DIFEXT-" 404878 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-229 401101 403311 403352 "DIAGG" 403357 NIL DIAGG (NIL T) -9 NIL 403377 NIL) (-228 400485 400642 400894 "DIAGG-" 400899 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-227 395950 399444 399721 "DHMATRIX" 400254 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-226 391562 392471 393481 "DFSFUN" 394960 T DFSFUN (NIL) -7 NIL NIL NIL) (-225 386667 390493 390805 "DFLOAT" 391270 T DFLOAT (NIL) -8 NIL NIL NIL) (-224 384895 385176 385572 "DFINTTLS" 386375 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-223 381951 382916 383316 "DERHAM" 384561 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-222 379800 381726 381815 "DEQUEUE" 381895 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-221 379015 379148 379344 "DEGRED" 379662 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-220 375410 376155 377008 "DEFINTRF" 378243 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-219 372937 373406 374005 "DEFINTEF" 374929 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-218 372314 372557 372672 "DEFAST" 372842 T DEFAST (NIL) -8 NIL NIL NIL) (-217 366345 371909 372058 "DECIMAL" 372185 T DECIMAL (NIL) -8 NIL NIL NIL) (-216 363855 364315 364821 "DDFACT" 365889 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-215 363451 363494 363645 "DBLRESP" 363806 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-214 361350 361684 362044 "DBASE" 363218 NIL DBASE (NIL T) -8 NIL NIL NIL) (-213 360619 360830 360976 "DATAARY" 361249 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-212 359752 360578 360606 "D03FAFA" 360611 T D03FAFA (NIL) -8 NIL NIL NIL) (-211 358886 359711 359739 "D03EEFA" 359744 T D03EEFA (NIL) -8 NIL NIL NIL) (-210 356836 357302 357791 "D03AGNT" 358417 T D03AGNT (NIL) -7 NIL NIL NIL) (-209 356152 356795 356823 "D02EJFA" 356828 T D02EJFA (NIL) -8 NIL NIL NIL) (-208 355468 356111 356139 "D02CJFA" 356144 T D02CJFA (NIL) -8 NIL NIL NIL) (-207 354784 355427 355455 "D02BHFA" 355460 T D02BHFA (NIL) -8 NIL NIL NIL) (-206 354100 354743 354771 "D02BBFA" 354776 T D02BBFA (NIL) -8 NIL NIL NIL) (-205 347297 348886 350492 "D02AGNT" 352514 T D02AGNT (NIL) -7 NIL NIL NIL) (-204 345065 345588 346134 "D01WGTS" 346771 T D01WGTS (NIL) -7 NIL NIL NIL) (-203 344159 345024 345052 "D01TRNS" 345057 T D01TRNS (NIL) -8 NIL NIL NIL) (-202 343254 344118 344146 "D01GBFA" 344151 T D01GBFA (NIL) -8 NIL NIL NIL) (-201 342349 343213 343241 "D01FCFA" 343246 T D01FCFA (NIL) -8 NIL NIL NIL) (-200 341444 342308 342336 "D01ASFA" 342341 T D01ASFA (NIL) -8 NIL NIL NIL) (-199 340539 341403 341431 "D01AQFA" 341436 T D01AQFA (NIL) -8 NIL NIL NIL) (-198 339634 340498 340526 "D01APFA" 340531 T D01APFA (NIL) -8 NIL NIL NIL) (-197 338729 339593 339621 "D01ANFA" 339626 T D01ANFA (NIL) -8 NIL NIL NIL) (-196 337824 338688 338716 "D01AMFA" 338721 T D01AMFA (NIL) -8 NIL NIL NIL) (-195 336919 337783 337811 "D01ALFA" 337816 T D01ALFA (NIL) -8 NIL NIL NIL) (-194 336014 336878 336906 "D01AKFA" 336911 T D01AKFA (NIL) -8 NIL NIL NIL) (-193 335109 335973 336001 "D01AJFA" 336006 T D01AJFA (NIL) -8 NIL NIL NIL) (-192 328404 329957 331518 "D01AGNT" 333568 T D01AGNT (NIL) -7 NIL NIL NIL) (-191 327741 327869 328021 "CYCLOTOM" 328272 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-190 324476 325189 325916 "CYCLES" 327034 T CYCLES (NIL) -7 NIL NIL NIL) (-189 323788 323922 324093 "CVMP" 324337 NIL CVMP (NIL T) -7 NIL NIL NIL) (-188 321559 321817 322193 "CTRIGMNP" 323516 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-187 321054 321353 321426 "CTOR" 321506 T CTOR (NIL) -8 NIL NIL NIL) (-186 320590 320785 320886 "CTORKIND" 320973 T CTORKIND (NIL) -8 NIL NIL NIL) (-185 319938 320197 320225 "CTORCAT" 320407 T CTORCAT (NIL) -9 NIL 320520 NIL) (-184 319536 319647 319806 "CTORCAT-" 319811 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-183 319052 319239 319337 "CTORCALL" 319458 T CTORCALL (NIL) -8 NIL NIL NIL) (-182 318426 318525 318678 "CSTTOOLS" 318949 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-181 314225 314882 315640 "CRFP" 317738 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-180 313727 313946 314038 "CRCEAST" 314153 T CRCEAST (NIL) -8 NIL NIL NIL) (-179 312774 312959 313187 "CRAPACK" 313531 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-178 312158 312259 312463 "CPMATCH" 312650 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-177 311883 311911 312017 "CPIMA" 312124 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-176 308247 308919 309637 "COORDSYS" 311218 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-175 307655 307777 307920 "CONTOUR" 308124 T CONTOUR (NIL) -8 NIL NIL NIL) (-174 303573 305658 306150 "CONTFRAC" 307195 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-173 303453 303474 303502 "CONDUIT" 303539 T CONDUIT (NIL) -9 NIL NIL NIL) (-172 302618 303146 303174 "COMRING" 303179 T COMRING (NIL) -9 NIL 303231 NIL) (-171 301699 301976 302160 "COMPPROP" 302454 T COMPPROP (NIL) -8 NIL NIL NIL) (-170 301360 301395 301523 "COMPLPAT" 301658 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-169 291409 301169 301278 "COMPLEX" 301283 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-168 291045 291102 291209 "COMPLEX2" 291346 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-167 290763 290798 290896 "COMPFACT" 291004 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-166 274917 285145 285185 "COMPCAT" 286189 NIL COMPCAT (NIL T) -9 NIL 287585 NIL) (-165 264428 267356 270983 "COMPCAT-" 271339 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-164 264157 264185 264288 "COMMUPC" 264394 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-163 263951 263985 264044 "COMMONOP" 264118 T COMMONOP (NIL) -7 NIL NIL NIL) (-162 263534 263702 263789 "COMM" 263884 T COMM (NIL) -8 NIL NIL NIL) (-161 263137 263338 263413 "COMMAAST" 263479 T COMMAAST (NIL) -8 NIL NIL NIL) (-160 262386 262580 262608 "COMBOPC" 262946 T COMBOPC (NIL) -9 NIL 263121 NIL) (-159 261282 261492 261734 "COMBINAT" 262176 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-158 257479 258053 258693 "COMBF" 260704 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-157 256264 256595 256830 "COLOR" 257264 T COLOR (NIL) -8 NIL NIL NIL) (-156 255767 255985 256077 "COLONAST" 256192 T COLONAST (NIL) -8 NIL NIL NIL) (-155 255407 255454 255579 "CMPLXRT" 255714 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-154 254882 255107 255206 "CLLCTAST" 255328 T CLLCTAST (NIL) -8 NIL NIL NIL) (-153 250382 251412 252492 "CLIP" 253822 T CLIP (NIL) -7 NIL NIL NIL) (-152 248755 249488 249727 "CLIF" 250209 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-151 244977 246901 246942 "CLAGG" 247871 NIL CLAGG (NIL T) -9 NIL 248407 NIL) (-150 243399 243856 244439 "CLAGG-" 244444 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-149 242943 243028 243168 "CINTSLPE" 243308 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-148 240444 240915 241463 "CHVAR" 242471 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-147 239679 240207 240235 "CHARZ" 240240 T CHARZ (NIL) -9 NIL 240255 NIL) (-146 239433 239473 239551 "CHARPOL" 239633 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-145 238552 239113 239141 "CHARNZ" 239188 T CHARNZ (NIL) -9 NIL 239244 NIL) (-144 236541 237242 237577 "CHAR" 238237 T CHAR (NIL) -8 NIL NIL NIL) (-143 236267 236328 236356 "CFCAT" 236467 T CFCAT (NIL) -9 NIL NIL NIL) (-142 235512 235623 235805 "CDEN" 236151 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-141 231504 234665 234945 "CCLASS" 235252 T CCLASS (NIL) -8 NIL NIL NIL) (-140 230811 230954 231117 "CATEGORY" 231361 T -10 (NIL) -8 NIL NIL NIL) (-139 230443 230730 230778 "CATCTOR" 230783 T CATCTOR (NIL) -8 NIL NIL NIL) (-138 229921 230146 230244 "CATAST" 230365 T CATAST (NIL) -8 NIL NIL NIL) (-137 229424 229642 229734 "CASEAST" 229849 T CASEAST (NIL) -8 NIL NIL NIL) (-136 224460 225453 226206 "CARTEN" 228727 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-135 223568 223716 223937 "CARTEN2" 224307 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-134 221910 222718 222975 "CARD" 223331 T CARD (NIL) -8 NIL NIL NIL) (-133 221513 221714 221789 "CAPSLAST" 221855 T CAPSLAST (NIL) -8 NIL NIL NIL) (-132 220885 221213 221241 "CACHSET" 221373 T CACHSET (NIL) -9 NIL 221450 NIL) (-131 220381 220677 220705 "CABMON" 220755 T CABMON (NIL) -9 NIL 220811 NIL) (-130 219881 220085 220195 "BYTEORD" 220291 T BYTEORD (NIL) -8 NIL NIL NIL) (-129 218884 219415 219557 "BYTE" 219720 T BYTE (NIL) -8 NIL NIL 219842) (-128 214284 218389 218561 "BYTEBUF" 218732 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 211841 213976 214083 "BTREE" 214210 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 209338 211489 211611 "BTOURN" 211751 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 206755 208808 208849 "BTCAT" 208917 NIL BTCAT (NIL T) -9 NIL 208994 NIL) (-124 206422 206502 206651 "BTCAT-" 206656 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 201714 205565 205593 "BTAGG" 205815 T BTAGG (NIL) -9 NIL 205976 NIL) (-122 201204 201329 201535 "BTAGG-" 201540 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 198247 200482 200697 "BSTREE" 201021 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 197385 197511 197695 "BRILL" 198103 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 194084 196111 196152 "BRAGG" 196801 NIL BRAGG (NIL T) -9 NIL 197059 NIL) (-118 192613 193019 193574 "BRAGG-" 193579 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 185869 191959 192143 "BPADICRT" 192461 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 184211 185806 185851 "BPADIC" 185856 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 183909 183939 184053 "BOUNDZRO" 184175 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 179021 180193 181138 "BOP" 182984 T BOP (NIL) -8 NIL NIL NIL) (-113 176642 177086 177606 "BOP1" 178534 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 175344 176066 176259 "BOOLEAN" 176469 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 174706 175084 175138 "BMODULE" 175143 NIL BMODULE (NIL T T) -9 NIL 175208 NIL) (-110 170534 174504 174577 "BITS" 174653 T BITS (NIL) -8 NIL NIL NIL) (-109 169946 170068 170210 "BINDING" 170412 T BINDING (NIL) -8 NIL NIL NIL) (-108 163980 169543 169691 "BINARY" 169818 T BINARY (NIL) -8 NIL NIL NIL) (-107 161807 163235 163276 "BGAGG" 163536 NIL BGAGG (NIL T) -9 NIL 163673 NIL) (-106 161638 161670 161761 "BGAGG-" 161766 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 160736 161022 161227 "BFUNCT" 161453 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159426 159604 159892 "BEZOUT" 160560 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 155943 158278 158608 "BBTREE" 159129 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 155677 155730 155758 "BASTYPE" 155877 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155530 155558 155631 "BASTYPE-" 155636 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 154964 155040 155192 "BALFACT" 155441 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 153847 154379 154565 "AUTOMOR" 154809 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153573 153578 153604 "ATTREG" 153609 T ATTREG (NIL) -9 NIL NIL NIL) (-97 151852 152270 152622 "ATTRBUT" 153239 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151487 151680 151746 "ATTRAST" 151804 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151023 151136 151162 "ATRIG" 151363 T ATRIG (NIL) -9 NIL NIL NIL) (-94 150832 150873 150960 "ATRIG-" 150965 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150503 150663 150689 "ASTCAT" 150694 T ASTCAT (NIL) -9 NIL 150724 NIL) (-92 150230 150289 150408 "ASTCAT-" 150413 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148427 150006 150094 "ASTACK" 150173 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 146932 147229 147594 "ASSOCEQ" 148109 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 145964 146591 146715 "ASP9" 146839 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145727 145912 145951 "ASP8" 145956 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144595 145332 145474 "ASP80" 145616 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143493 144230 144362 "ASP7" 144494 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142447 143170 143288 "ASP78" 143406 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141416 142127 142244 "ASP77" 142361 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 140328 141054 141185 "ASP74" 141316 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 139228 139963 140095 "ASP73" 140227 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138332 139054 139154 "ASP6" 139159 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 137276 138009 138127 "ASP55" 138245 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 136225 136950 137069 "ASP50" 137188 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 135313 135926 136036 "ASP4" 136146 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134401 135014 135124 "ASP49" 135234 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 133185 133940 134108 "ASP42" 134290 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 131961 132718 132888 "ASP41" 133072 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 130911 131638 131756 "ASP35" 131874 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130676 130859 130898 "ASP34" 130903 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130413 130480 130556 "ASP33" 130631 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 129306 130048 130180 "ASP31" 130312 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129071 129254 129293 "ASP30" 129298 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 128806 128875 128951 "ASP29" 129026 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128571 128754 128793 "ASP28" 128798 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128336 128519 128558 "ASP27" 128563 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127420 128034 128145 "ASP24" 128256 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126496 127222 127334 "ASP20" 127339 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125584 126197 126307 "ASP1" 126417 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124526 125258 125377 "ASP19" 125496 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 124263 124330 124406 "ASP12" 124481 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 123115 123862 124006 "ASP10" 124150 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121014 122959 123050 "ARRAY2" 123055 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116827 120662 120776 "ARRAY1" 120931 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 115859 116032 116253 "ARRAY12" 116650 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110218 112089 112164 "ARR2CAT" 114794 NIL ARR2CAT (NIL T T T) -9 NIL 115552 NIL) (-56 107652 108396 109350 "ARR2CAT-" 109355 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 106996 107279 107404 "ARITY" 107545 T ARITY (NIL) -8 NIL NIL NIL) (-54 105744 105896 106202 "APPRULE" 106832 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105395 105443 105562 "APPLYORE" 105690 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104369 104660 104855 "ANY" 105218 T ANY (NIL) -8 NIL NIL NIL) (-51 103647 103770 103927 "ANY1" 104243 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101204 102084 102411 "ANTISYM" 103371 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 100723 100911 101007 "ANON" 101126 T ANON (NIL) -8 NIL NIL NIL) (-48 94847 99262 99716 "AN" 100287 T AN (NIL) -8 NIL NIL NIL) (-47 91095 92457 92508 "AMR" 93256 NIL AMR (NIL T T) -9 NIL 93856 NIL) (-46 90207 90428 90791 "AMR-" 90796 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74757 90124 90185 "ALIST" 90190 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71586 74351 74520 "ALGSC" 74675 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68141 68696 69303 "ALGPKG" 71026 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67418 67519 67703 "ALGMFACT" 68027 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63155 63842 64497 "ALGMANIP" 66941 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54552 62781 62931 "ALGFF" 63088 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 53748 53879 54058 "ALGFACT" 54410 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 52805 53379 53417 "ALGEBRA" 53422 NIL ALGEBRA (NIL T) -9 NIL 53463 NIL) (-37 52523 52582 52714 "ALGEBRA-" 52719 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34782 50525 50577 "ALAGG" 50713 NIL ALAGG (NIL T T) -9 NIL 50874 NIL) (-35 34318 34431 34457 "AHYP" 34658 T AHYP (NIL) -9 NIL NIL NIL) (-34 33249 33497 33523 "AGG" 34022 T AGG (NIL) -9 NIL 34301 NIL) (-33 32683 32845 33059 "AGG-" 33064 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30359 30782 31200 "AF" 32325 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 29866 30084 30174 "ADDAST" 30287 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29134 29393 29549 "ACPLOT" 29728 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18418 26347 26398 "ACFS" 27109 NIL ACFS (NIL T) -9 NIL 27348 NIL) (-28 16432 16922 17697 "ACFS-" 17702 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12697 14599 14625 "ACF" 15504 T ACF (NIL) -9 NIL 15916 NIL) (-26 11401 11735 12228 "ACF-" 12233 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 10999 11168 11194 "ABELSG" 11286 T ABELSG (NIL) -9 NIL 11351 NIL) (-24 10866 10891 10957 "ABELSG-" 10962 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10235 10496 10522 "ABELMON" 10692 T ABELMON (NIL) -9 NIL 10804 NIL) (-22 9899 9983 10121 "ABELMON-" 10126 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9233 9579 9605 "ABELGRP" 9730 T ABELGRP (NIL) -9 NIL 9812 NIL) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) 
+\ No newline at end of file
diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase
index 669422dc..c7fa5f8a 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,209 +1,800 @@
 
-(736189 . 3450528890)        
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1259 *3)) (-4 *3 (-1235 *4)) (-4 *4 (-1213))
-   (-4 *1 (-342 *4 *3 *5)) (-4 *5 (-1235 (-407 *3)))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-1187))))) 
-(((*1 *2 *3 *3 *4 *3)
-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
-   (-5 *1 (-752))))) 
-(((*1 *1 *1 *1) (-4 *1 (-143)))
- ((*1 *2 *2 *2)
-  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-158 *3 *2))
-   (-4 *2 (-430 *3))))
- ((*1 *2 *2 *2) (-12 (-5 *1 (-159 *2)) (-4 *2 (-545))))
- ((*1 *1 *1 *1) (-5 *1 (-859)))
+(736244 . 3450896462)        
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1 *2 *2)) (-4 *5 (-363)) (-4 *6 (-1235 (-407 *2)))
+   (-4 *2 (-1235 *5)) (-5 *1 (-215 *5 *2 *6 *3))
+   (-4 *3 (-342 *5 *2 *6))))) 
+(((*1 *2 *3 *4 *4)
+  (-12 (-5 *3 (-641 *5)) (-5 *4 (-564)) (-4 *5 (-845)) (-4 *5 (-363))
+   (-5 *2 (-768)) (-5 *1 (-942 *5 *6)) (-4 *6 (-1235 *5))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1 *7 *7)) (-4 *7 (-1235 *6))
+   (-4 *6 (-13 (-27) (-430 *5)))
+   (-4 *5 (-13 (-847) (-556) (-1035 (-564)))) (-4 *8 (-1235 (-407 *7)))
+   (-5 *2 (-585 *3)) (-5 *1 (-552 *5 *6 *7 *8 *3))
+   (-4 *3 (-342 *6 *7 *8))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-641 (-1152))) (-5 *1 (-1189))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-768)) (-5 *2 (-1264)) (-5 *1 (-379))))
+ ((*1 *2) (-12 (-5 *2 (-1264)) (-5 *1 (-379))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-556)) (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-112))
+   (-5 *1 (-974 *4 *5 *6 *3)) (-4 *3 (-1060 *4 *5 *6))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-649 (-407 *2))) (-4 *2 (-1235 *4)) (-5 *1 (-807 *4 *2))
+   (-4 *4 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-650 *2 (-407 *2))) (-4 *2 (-1235 *4))
+   (-5 *1 (-807 *4 *2))
+   (-4 *4 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-641 (-641 (-940 (-225))))) (-5 *1 (-1204 *3))
+   (-4 *3 (-971))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-641 (-918))) (-5 *2 (-901 (-564))) (-5 *1 (-914))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-1247 *2)) (-4 *2 (-1209))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-564)) (-5 *1 (-592 *3)) (-14 *3 *2)))
+ ((*1 *2 *1) (-12 (-4 *1 (-1094)) (-5 *2 (-1114))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-144))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1202 *3 *4 *5 *6)) (-4 *3 (-556)) (-4 *4 (-790))
+   (-4 *5 (-847)) (-4 *6 (-1060 *3 *4 *5)) (-5 *2 (-641 *5))))) 
+(((*1 *2 *3 *3 *3)
+  (-12 (-5 *2 (-641 (-564))) (-5 *1 (-1104)) (-5 *3 (-564))))) 
+(((*1 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-756))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-13 (-307) (-147))) (-4 *5 (-13 (-847) (-612 (-1170))))
+   (-4 *6 (-790)) (-5 *2 (-641 *3)) (-5 *1 (-921 *4 *5 *6 *3))
+   (-4 *3 (-946 *4 *6 *5))))) 
+(((*1 *1 *1 *1) (-5 *1 (-859)))) 
+(((*1 *1 *2) (-12 (-5 *2 (-641 (-859))) (-5 *1 (-859))))
+ ((*1 *1 *1 *1) (-5 *1 (-859)))) 
+(((*1 *2 *3 *3 *4 *5 *3 *6)
+  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *5 (-225))
+   (-5 *6 (-3 (|:| |fn| (-388)) (|:| |fp| (-81 FCN)))) (-5 *2 (-1032))
+   (-5 *1 (-743))))) 
+(((*1 *1) (-5 *1 (-820)))) 
+(((*1 *1 *2 *2 *2 *2) (-12 (-5 *1 (-715 *2)) (-4 *2 (-363))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-323 *3 *4)) (-4 *3 (-1094))
+   (-4 *4 (-131))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-361 *3))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-386 *3))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-645 *3 *4 *5))
+   (-4 *4 (-23)) (-14 *5 *4)))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-685 (-407 (-949 (-564)))))
+   (-5 *2
+    (-641
+     (-2 (|:| |radval| (-316 (-564))) (|:| |radmult| (-564))
+      (|:| |radvect| (-641 (-685 (-316 (-564))))))))
+   (-5 *1 (-1028))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1046)) (-4 *3 (-1235 *4)) (-4 *2 (-1250 *4))
+   (-5 *1 (-1253 *4 *3 *5 *2)) (-4 *5 (-652 *3))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-980 *2)) (-4 *2 (-1194))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-980 *2)) (-4 *2 (-1194))))) 
+(((*1 *2 *1 *3 *4)
+  (-12 (-5 *3 (-468)) (-5 *4 (-918)) (-5 *2 (-1264)) (-5 *1 (-1260))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-847) (-452))) (-5 *1 (-1200 *3 *2))
+   (-4 *2 (-13 (-430 *3) (-1194)))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-821))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-452)) (-4 *4 (-790)) (-4 *5 (-847))
+   (-4 *6 (-1060 *3 *4 *5)) (-5 *1 (-622 *3 *4 *5 *6 *7 *2))
+   (-4 *7 (-1066 *3 *4 *5 *6)) (-4 *2 (-1103 *3 *4 *5 *6))))) 
+(((*1 *2) (-12 (-5 *2 (-1264)) (-5 *1 (-559))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-641 *2)) (-5 *1 (-1183 *2)) (-4 *2 (-363))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-1170))) (-5 *1 (-536))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-685 *6)) (-5 *5 (-1 (-418 (-1166 *6)) (-1166 *6)))
+   (-4 *6 (-363))
+   (-5 *2
+    (-641
+     (-2 (|:| |outval| *7) (|:| |outmult| (-564))
+      (|:| |outvect| (-641 (-685 *7))))))
+   (-5 *1 (-532 *6 *7 *4)) (-4 *7 (-363)) (-4 *4 (-13 (-363) (-845)))))) 
+(((*1 *2 *3)
+  (-12 (-4 *1 (-892))
+   (-5 *3
+    (-2 (|:| |pde| (-641 (-316 (-225))))
+     (|:| |constraints|
+          (-641
+           (-2 (|:| |start| (-225)) (|:| |finish| (-225))
+            (|:| |grid| (-768)) (|:| |boundaryType| (-564))
+            (|:| |dStart| (-685 (-225))) (|:| |dFinish| (-685 (-225))))))
+     (|:| |f| (-641 (-641 (-316 (-225))))) (|:| |st| (-1152))
+     (|:| |tol| (-225))))
+   (-5 *2 (-1032))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *3 (-363)) (-4 *3 (-1046))
+   (-5 *2 (-2 (|:| -4110 *1) (|:| -3101 *1))) (-4 *1 (-849 *3))))
+ ((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-99 *5)) (-4 *5 (-363)) (-4 *5 (-1046))
+   (-5 *2 (-2 (|:| -4110 *3) (|:| -3101 *3))) (-5 *1 (-850 *5 *3))
+   (-4 *3 (-849 *5))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-821))))) 
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 (((*1 *2 *3)
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+ ((*1 *1 *1) (-4 *1 (-1138)))) 
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+  (-12 (-5 *2 (-940 *3)) (-4 *3 (-13 (-363) (-1194) (-999)))
+   (-5 *1 (-176 *3))))) 
+(((*1 *2 *1)
+  (-12 (-4 *2 (-1094)) (-5 *1 (-961 *3 *2)) (-4 *3 (-1094))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-602 *2 *3)) (-4 *3 (-1209)) (-4 *2 (-1094))
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+  (-12 (-5 *3 (-685 (-407 (-949 (-564)))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-156))))
+ ((*1 *2 *1) (-12 (-5 *1 (-294 *2)) (-4 *2 (-1209))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-478))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-591))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-624))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-1094))
+   (-4 *2 (-13 (-430 *4) (-883 *3) (-612 (-889 *3))))
+   (-5 *1 (-1070 *3 *4 *2))
+   (-4 *4 (-13 (-1046) (-883 *3) (-847) (-612 (-889 *3))))))
+ ((*1 *2 *1)
+  (-12 (-4 *2 (-1094)) (-5 *1 (-1159 *2 *3)) (-4 *3 (-1094))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-1232 *5 *4)) (-4 *4 (-817)) (-14 *5 (-1170))
+   (-5 *2 (-564)) (-5 *1 (-1108 *4 *5))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-418 *3)) (-5 *1 (-558 *3)) (-4 *3 (-545))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1170)) (-5 *4 (-949 (-564))) (-5 *2 (-330))
+   (-5 *1 (-332))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-768)) (-4 *1 (-1235 *3)) (-4 *3 (-1046))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-1264)) (-5 *1 (-1179))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1170))
    (-4 *4 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
@@ -241,33 +832,88 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-407 (-564))) (-4 *4 (-1046)) (-4 *1 (-1242 *4 *3))
    (-4 *3 (-1219 *4))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-564)) (-5 *2 (-1264)) (-5 *1 (-819))))) 
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4)
-  (-12 (-5 *3 (-1152)) (-5 *4 (-564)) (-5 *5 (-685 (-225)))
-   (-5 *2 (-1032)) (-5 *1 (-751))))) 
-(((*1 *2 *3 *2)
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-   (-4 *2 (-13 (-373 *4) (-10 -7 (-6 -4413))))))) 
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-   (-4 *4 (-266 *3)) (-4 *5 (-790))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-794 *2)) (-4 *2 (-172))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1202 *4 *5 *3 *6)) (-4 *4 (-556)) (-4 *5 (-790))
-   (-4 *3 (-847)) (-4 *6 (-1060 *4 *5 *3)) (-5 *2 (-112))))
- ((*1 *2 *1) (-12 (-4 *1 (-1278 *3)) (-4 *3 (-363)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *2) (-12 (-4 *1 (-1138)) (-5 *2 (-141))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-1138)) (-5 *2 (-144))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-556))
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+   (-4 *5 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
    (-5 *2
-    (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3)))
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+    (-3 (-840 *3)
+     (-2 (|:| |leftHandLimit| (-3 (-840 *3) "failed"))
+      (|:| |rightHandLimit| (-3 (-840 *3) "failed")))
+     "failed"))
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+     "failed"))
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+      (|:| |rightHandLimit| (-3 (-840 *3) "failed")))
+     "failed"))
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+(((*1 *2 *3 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-768)) (|:| |poli| *7)
+     (|:| |polj| *7)))
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+ ((*1 *2 *3)
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+ ((*1 *1 *1 *2 *3)
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+   (-14 *4 (-918)) (-4 *5 (-1046))))
+ ((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-641 (-768))) (-5 *3 (-940 *5)) (-4 *5 (-1046))
+   (-5 *1 (-1158 *4 *5)) (-14 *4 (-918))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-4 *3 (-1106)) (-4 *3 (-847)) (-5 *2 (-641 *1))
+      (-4 *1 (-430 *3))))
+ ((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-641 (-889 *3))) (-5 *1 (-889 *3))
+      (-4 *3 (-1094))))
+ ((*1 *2 *1)
+  (|partial| -12 (-4 *3 (-1046)) (-4 *4 (-790)) (-4 *5 (-847))
+      (-5 *2 (-641 *1)) (-4 *1 (-946 *3 *4 *5))))
+ ((*1 *2 *3)
+  (|partial| -12 (-4 *4 (-790)) (-4 *5 (-847)) (-4 *6 (-1046))
+      (-4 *7 (-946 *6 *4 *5)) (-5 *2 (-641 *3))
+      (-5 *1 (-947 *4 *5 *6 *7 *3))
+      (-4 *3
+       (-13 (-363)
+        (-10 -8 (-15 -1721 ($ *7)) (-15 -2654 (*7 $))
+         (-15 -2663 (*7 $)))))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1170))
    (-4 *4 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
@@ -304,37 +950,43 @@
    (-4 *3 (-1250 *4))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-1242 *3 *2)) (-4 *3 (-1046)) (-4 *2 (-1219 *3))))) 
-(((*1 *2 *2)
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-   (-4 *2 (-13 (-430 *3) (-1194)))))) 
-(((*1 *2 *2 *1) (-12 (-4 *1 (-992 *2)) (-4 *2 (-1209))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-506)) (-5 *2 (-687 (-771))) (-5 *1 (-114))))
- ((*1 *2 *1 *3)
-  (|partial| -12 (-5 *3 (-1152)) (-5 *2 (-771)) (-5 *1 (-114))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-1170)) (-5 *3 (-1098)) (-5 *1 (-962))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-556)) (-4 *5 (-790)) (-4 *6 (-847))
-   (-4 *7 (-1060 *4 *5 *6))
-   (-5 *2 (-2 (|:| |goodPols| (-641 *7)) (|:| |badPols| (-641 *7))))
-   (-5 *1 (-974 *4 *5 *6 *7)) (-5 *3 (-641 *7))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-564)) (-5 *2 (-641 (-2 (|:| -4020 *3) (|:| -4341 *4))))
+   (-5 *1 (-692 *3)) (-4 *3 (-1235 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-564)) (-4 *2 (-430 *3)) (-5 *1 (-32 *3 *2))
+   (-4 *3 (-1035 *4)) (-4 *3 (-13 (-847) (-556)))))) 
+(((*1 *2 *1 *2)
+  (-12 (|has| *1 (-6 -4413)) (-4 *1 (-1247 *2)) (-4 *2 (-1209))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-870 (-963 *3) (-963 *3))) (-5 *1 (-963 *3))
+   (-4 *3 (-964))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1209)) (-4 *4 (-373 *3))
+   (-4 *5 (-373 *3)) (-5 *2 (-564))))
+ ((*1 *2 *1)
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+   (-4 *6 (-238 *4 *5)) (-4 *7 (-238 *3 *5)) (-5 *2 (-564))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-1 (-940 (-225)) (-940 (-225)))) (-5 *3 (-641 (-263)))
+   (-5 *1 (-261))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1 (-940 (-225)) (-940 (-225)))) (-5 *1 (-263))))
+ ((*1 *2 *3 *4)
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+   (-14 *5 (-641 (-1170))) (-4 *6 (-452)) (-5 *2 (-1259 *6))
+   (-5 *1 (-629 *5 *6))))) 
 (((*1 *2 *3 *3)
-  (-12 (-5 *3 (-1172 (-407 (-564)))) (-5 *2 (-407 (-564)))
-   (-5 *1 (-190))))) 
-(((*1 *2 *3)
-  (|partial| -12 (-5 *2 (-564)) (-5 *1 (-1191 *3)) (-4 *3 (-1046))))) 
+  (-12 (-5 *3 (-641 *7)) (-4 *7 (-1060 *4 *5 *6)) (-4 *4 (-452))
+   (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-112))
+   (-5 *1 (-985 *4 *5 *6 *7 *8)) (-4 *8 (-1066 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-641 *7)) (-4 *7 (-1060 *4 *5 *6)) (-4 *4 (-452))
+   (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-112))
+   (-5 *1 (-1101 *4 *5 *6 *7 *8)) (-4 *8 (-1066 *4 *5 *6 *7))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-641 *3)) (-4 *3 (-847)) (-5 *1 (-121 *3))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-768)) (-5 *4 (-1259 *2)) (-4 *5 (-307))
-   (-4 *6 (-989 *5)) (-4 *2 (-13 (-409 *6 *7) (-1035 *6)))
-   (-5 *1 (-413 *5 *6 *7 *2)) (-4 *7 (-1235 *6))))) 
-(((*1 *1) (-5 *1 (-1079)))) 
-(((*1 *2 *3 *3) (-12 (-5 *3 (-1114)) (-5 *2 (-1264)) (-5 *1 (-828))))) 
-(((*1 *1 *2 *2 *3 *1)
-  (-12 (-5 *2 (-1170)) (-5 *3 (-1098)) (-5 *1 (-291))))) 
-(((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-103 *3))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-103 *2)) (-4 *2 (-1094))))) 
+  (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1032)) (-5 *1 (-755))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1170))
    (-4 *4 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
@@ -380,369 +1032,237 @@
    (-5 *2 (-52)) (-5 *1 (-459 *7 *3))))
  ((*1 *2 *1)
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 (((*1 *2 *1)
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+    (-1 (-3 (-2 (|:| |special| *3) (|:| |integrand| *3)) "failed") *3
+     (-1170)))
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+   (-5 *1 (-573 *7 *3))))) 
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+   (-5 *1 (-158 *4 *2))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1086 *1)) (-4 *1 (-160))))
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+(((*1 *2 *3)
+  (-12 (-5 *3 (-1166 *4)) (-4 *4 (-349)) (-5 *2 (-955 (-1114)))
+   (-5 *1 (-346 *4))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-641 *4)) (-4 *4 (-845)) (-4 *4 (-363)) (-5 *2 (-768))
+   (-5 *1 (-942 *4 *5)) (-4 *5 (-1235 *4))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-38 (-407 (-564))))
+   (-5 *2 (-2 (|:| -1827 (-1150 *4)) (|:| -1838 (-1150 *4))))
+   (-5 *1 (-1156 *4)) (-5 *3 (-1150 *4))))) 
+(((*1 *2 *3 *4 *5 *6 *5)
+  (-12 (-5 *4 (-169 (-225))) (-5 *5 (-564)) (-5 *6 (-1152))
+   (-5 *3 (-225)) (-5 *2 (-1032)) (-5 *1 (-755))))) 
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1235 *2)) (-4 *2 (-1046)) (-4 *2 (-556))))) 
 (((*1 *2 *3)
   (-12
    (-5 *3
-    (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -3304 (-641 (-225)))))
+    (-2 (|:| |lfn| (-641 (-316 (-225)))) (|:| -2558 (-641 (-225)))))
    (-5 *2 (-641 (-1170))) (-5 *1 (-267))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-1166 *7)) (-4 *7 (-946 *6 *4 *5)) (-4 *4 (-790))
@@ -764,7 +1284,7 @@
    (-5 *1 (-947 *4 *5 *6 *7 *3))
    (-4 *3
     (-13 (-363)
-     (-10 -8 (-15 -3714 ($ *7)) (-15 -1655 (*7 $)) (-15 -1668 (*7 $)))))))
+     (-10 -8 (-15 -1721 ($ *7)) (-15 -2654 (*7 $)) (-15 -2663 (*7 $)))))))
  ((*1 *2 *1)
   (-12 (-5 *2 (-1096 (-1170))) (-5 *1 (-963 *3)) (-4 *3 (-964))))
  ((*1 *2 *1)
@@ -776,47 +1296,33 @@
  ((*1 *2 *3)
   (-12 (-5 *3 (-407 (-949 *4))) (-4 *4 (-556)) (-5 *2 (-641 (-1170)))
    (-5 *1 (-1040 *4))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1264)) (-5 *1 (-819))))) 
-(((*1 *2 *3 *3 *4 *4 *3 *3 *5 *3)
-  (-12 (-5 *3 (-564)) (-5 *5 (-685 (-225))) (-5 *4 (-225))
-   (-5 *2 (-1032)) (-5 *1 (-752))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-1 (-112) *4)) (|has| *1 (-6 -4412)) (-4 *1 (-489 *4))
-   (-4 *4 (-1209)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-123)))
- ((*1 *1 *1 *1) (-5 *1 (-1114)))) 
-(((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-561))))) 
-(((*1 *2 *2 *1)
-  (-12 (-5 *2 (-1283 *3 *4)) (-4 *1 (-374 *3 *4)) (-4 *3 (-847))
-   (-4 *4 (-172))))
- ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-386 *2)) (-4 *2 (-1094))))
- ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-816 *2)) (-4 *2 (-847))))
- ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-816 *2)) (-4 *2 (-847))))
- ((*1 *1 *1 *1)
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- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-816 *3)) (-4 *1 (-1276 *3 *4)) (-4 *3 (-847))
-   (-4 *4 (-1046))))
- ((*1 *1 *1 *2)
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-(((*1 *1 *1)
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-(((*1 *2)
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-(((*1 *2 *1) (-12 (-4 *1 (-389)) (-5 *2 (-112))))) 
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-   (-5 *1 (-950 *5 *6 *7 *8 *9)) (-5 *4 (-768))
-   (-4 *9
-    (-13 (-363)
-     (-10 -8 (-15 -3714 ($ *8)) (-15 -1655 (*8 $)) (-15 -1668 (*8 $)))))))) 
-(((*1 *1 *1 *1) (|partial| -4 *1 (-131)))) 
+(((*1 *1 *1) (-4 *1 (-1138)))) 
+(((*1 *2 *3 *4 *5 *5 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *4)
+  (-12 (-5 *3 (-1152)) (-5 *4 (-564)) (-5 *5 (-685 (-225)))
+   (-5 *6 (-225)) (-5 *2 (-1032)) (-5 *1 (-749))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-556)) (-4 *5 (-790)) (-4 *6 (-847))
+   (-4 *7 (-1060 *4 *5 *6))
+   (-5 *2 (-2 (|:| |goodPols| (-641 *7)) (|:| |badPols| (-641 *7))))
+   (-5 *1 (-974 *4 *5 *6 *7)) (-5 *3 (-641 *7))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1150 *3)) (-5 *1 (-174 *3)) (-4 *3 (-307))))) 
+(((*1 *2) (-12 (-5 *2 (-918)) (-5 *1 (-697))))
+ ((*1 *2 *2) (-12 (-5 *2 (-918)) (-5 *1 (-697))))) 
+(((*1 *2 *3 *3 *3)
+  (|partial| -12 (-4 *4 (-13 (-363) (-147) (-1035 (-564))))
+      (-4 *5 (-1235 *4)) (-5 *2 (-641 (-407 *5))) (-5 *1 (-1013 *4 *5))
+      (-5 *3 (-407 *5))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-307)) (-4 *4 (-373 *3)) (-4 *5 (-373 *3))
+   (-5 *1 (-1118 *3 *4 *5 *2)) (-4 *2 (-683 *3 *4 *5))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1032))))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-1097 *3 *4 *5 *6 *7)) (-4 *3 (-1094)) (-4 *4 (-1094))
-   (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-112))))) 
+  (-12
+   (-5 *2
+    (-641
+     (-2 (|:| |scalar| (-407 (-564))) (|:| |coeff| (-1166 *3))
+      (|:| |logand| (-1166 *3)))))
+   (-5 *1 (-585 *3)) (-4 *3 (-363))))) 
 (((*1 *2 *3 *4 *2)
   (-12 (-5 *3 (-1166 (-407 (-1166 *2)))) (-5 *4 (-610 *2))
    (-4 *2 (-13 (-430 *5) (-27) (-1194)))
@@ -833,87 +1339,45 @@
    (-4 *6 (-1046))
    (-4 *2
     (-13 (-363)
-     (-10 -8 (-15 -3714 ($ *7)) (-15 -1655 (*7 $)) (-15 -1668 (*7 $)))))
+     (-10 -8 (-15 -1721 ($ *7)) (-15 -2654 (*7 $)) (-15 -2663 (*7 $)))))
    (-5 *1 (-947 *5 *4 *6 *7 *2)) (-4 *7 (-946 *6 *5 *4))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-407 (-1166 (-407 (-949 *5))))) (-5 *4 (-1170))
    (-5 *2 (-407 (-949 *5))) (-5 *1 (-1040 *5)) (-4 *5 (-556))))) 
-(((*1 *2)
-  (|partial| -12 (-4 *4 (-1213)) (-4 *5 (-1235 (-407 *2)))
-      (-4 *2 (-1235 *4)) (-5 *1 (-341 *3 *4 *2 *5))
-      (-4 *3 (-342 *4 *2 *5))))
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 (((*1 *1 *2 *3)
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 (((*1 *2 *2)
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-(((*1 *2) (-12 (-5 *2 (-918)) (-5 *1 (-1262))))
- ((*1 *2 *2) (-12 (-5 *2 (-918)) (-5 *1 (-1262))))) 
+  (-12 (-5 *2 (-112)) (-5 *1 (-442 *3)) (-4 *3 (-1235 (-564)))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *4 *4)) (-4 *1 (-323 *3 *4)) (-4 *3 (-1094))
+   (-4 *4 (-131))))) 
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+  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
+   (-4 *2 (-13 (-430 *3) (-999)))))) 
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+(((*1 *1 *2 *2 *2) (-12 (-5 *1 (-879 *2)) (-4 *2 (-1209))))) 
+(((*1 *2 *1 *3 *4)
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 (((*1 *2 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172))))
  ((*1 *2 *3)
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@@ -1369,42 +1780,37 @@
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-(((*1 *2 *1) (-12 (-5 *2 (-641 (-564))) (-5 *1 (-275))))) 
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- ((*1 *2 *1 *1)
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-   (-4 *1 (-1235 *3))))) 
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-   (-4 *4 (-13 (-430 *7) (-27) (-1194)))
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+(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-112) (-114) (-114))) (-5 *1 (-114))))) 
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+  (-12 (-5 *3 (-641 *4)) (-4 *4 (-1046)) (-5 *2 (-1259 *4))
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  ((*1 *2 *3)
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@@ -1414,51 +1820,75 @@
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-   (-4 *4 (-417 *3))))) 
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+      (-5 *2
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+        (|:| |limitedlogs|
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-   (-4 *3 (-1060 *4 *5 *6)) (-5 *2 (-641 *1))
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- ((*1 *2 *2 *3)
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-(((*1 *2 *2) (|partial| -12 (-4 *1 (-980 *2)) (-4 *2 (-1194))))) 
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 (((*1 *1 *1)
   (-12 (-5 *1 (-339 *2 *3 *4)) (-14 *2 (-641 (-1170)))
    (-14 *3 (-641 (-1170))) (-4 *4 (-387))))
@@ -1468,55 +1898,44 @@
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- ((*1 *2 *2 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-906))))) 
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-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
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- ((*1 *2 *3 *3)
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- ((*1 *2 *3 *3 *4)
-  (-12 (-5 *4 (-1 (-112) *3 *3)) (-4 *3 (-1094)) (-5 *2 (-112))
-   (-5 *1 (-1210 *3))))) 
 (((*1 *2 *3 *4)
-  (-12 (-4 *5 (-307)) (-4 *6 (-373 *5)) (-4 *4 (-373 *5))
+  (-12 (-5 *4 (-1170))
+   (-4 *5 (-13 (-307) (-847) (-147) (-1035 (-564)) (-637 (-564))))
+   (-5 *2 (-585 *3)) (-5 *1 (-426 *5 *3))
+   (-4 *3 (-13 (-1194) (-29 *5)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1170)) (-4 *5 (-13 (-556) (-1035 (-564)) (-147)))
+   (-5 *2 (-585 (-407 (-949 *5)))) (-5 *1 (-570 *5))
+   (-5 *3 (-407 (-949 *5)))))) 
+(((*1 *2 *3 *2)
+  (-12
    (-5 *2
-    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -4339 (-641 *4))))
-   (-5 *1 (-1118 *5 *6 *4 *3)) (-4 *3 (-683 *5 *6 *4))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-247 *4 *5)) (-14 *4 (-641 (-1170))) (-4 *5 (-1046))
-   (-5 *2 (-481 *4 *5)) (-5 *1 (-941 *4 *5))))) 
+    (-641
+     (-2 (|:| |lcmfij| *3) (|:| |totdeg| (-768)) (|:| |poli| *6)
+      (|:| |polj| *6))))
+   (-4 *3 (-790)) (-4 *6 (-946 *4 *3 *5)) (-4 *4 (-452)) (-4 *5 (-847))
+   (-5 *1 (-449 *4 *3 *5 *6))))) 
+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *3 (-768)) (-4 *4 (-13 (-556) (-147)))
+      (-5 *1 (-1229 *4 *2)) (-4 *2 (-1235 *4))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1060 *2 *3 *4)) (-4 *2 (-1046)) (-4 *3 (-790))
+   (-4 *4 (-847)) (-4 *2 (-452))))) 
 (((*1 *2 *3)
-  (-12 (-5 *2 (-112)) (-5 *1 (-120 *3)) (-4 *3 (-1235 (-564)))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-112)) (-5 *1 (-120 *3)) (-4 *3 (-1235 (-564)))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-564)) (|has| *1 (-6 -4413)) (-4 *1 (-1247 *3))
-   (-4 *3 (-1209))))) 
+  (-12
+   (-5 *3
+    (-504 (-407 (-564)) (-240 *5 (-768)) (-861 *4)
+     (-247 *4 (-407 (-564)))))
+   (-14 *4 (-641 (-1170))) (-14 *5 (-768)) (-5 *2 (-112))
+   (-5 *1 (-505 *4 *5))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-641 (-379))) (-5 *1 (-263))))
+ ((*1 *1)
+  (|partial| -12 (-4 *1 (-367 *2)) (-4 *2 (-556)) (-4 *2 (-172))))
+ ((*1 *2 *1) (-12 (-5 *1 (-418 *2)) (-4 *2 (-556))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-641 (-610 *5))) (-5 *3 (-1170)) (-4 *5 (-430 *4))
+   (-4 *4 (-847)) (-5 *1 (-573 *4 *5))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-889 *3)) (-4 *3 (-1094))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *4 (-641 (-48))) (-5 *2 (-418 *3)) (-5 *1 (-39 *3))
    (-4 *3 (-1235 (-48)))))
@@ -1565,8 +1984,8 @@
   (-12
    (-4 *4
     (-13 (-847)
-     (-10 -8 (-15 -2374 ((-1170) $))
-      (-15 -3832 ((-3 $ "failed") (-1170))))))
+     (-10 -8 (-15 -2153 ((-1170) $))
+      (-15 -2794 ((-3 $ "failed") (-1170))))))
    (-4 *5 (-790)) (-4 *7 (-556)) (-5 *2 (-418 *3))
    (-5 *1 (-456 *4 *5 *6 *7 *3)) (-4 *6 (-556))
    (-4 *3 (-946 *7 *5 *4))))
@@ -1615,13 +2034,13 @@
   (-12 (-4 *4 (-790))
    (-4 *5
     (-13 (-847)
-     (-10 -8 (-15 -2374 ((-1170) $))
-      (-15 -3832 ((-3 $ "failed") (-1170))))))
+     (-10 -8 (-15 -2153 ((-1170) $))
+      (-15 -2794 ((-3 $ "failed") (-1170))))))
    (-4 *6 (-307)) (-5 *2 (-418 *3)) (-5 *1 (-727 *4 *5 *6 *3))
    (-4 *3 (-946 (-949 *6) *4 *5))))
  ((*1 *2 *3)
   (-12 (-4 *4 (-790))
-   (-4 *5 (-13 (-847) (-10 -8 (-15 -2374 ((-1170) $))))) (-4 *6 (-556))
+   (-4 *5 (-13 (-847) (-10 -8 (-15 -2153 ((-1170) $))))) (-4 *6 (-556))
    (-5 *2 (-418 *3)) (-5 *1 (-729 *4 *5 *6 *3))
    (-4 *3 (-946 (-407 (-949 *6)) *4 *5))))
  ((*1 *2 *3)
@@ -1657,314 +2076,113 @@
  ((*1 *2 *1) (-12 (-5 *2 (-418 *1)) (-4 *1 (-1213))))
  ((*1 *2 *3)
   (-12 (-5 *2 (-418 *3)) (-5 *1 (-1224 *3)) (-4 *3 (-1235 (-564)))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-1 (-112) *7 (-641 *7))) (-4 *1 (-1202 *4 *5 *6 *7))
-   (-4 *4 (-556)) (-4 *5 (-790)) (-4 *6 (-847))
-   (-4 *7 (-1060 *4 *5 *6)) (-5 *2 (-112))))) 
-(((*1 *2 *3 *4 *3)
-  (|partial| -12 (-5 *4 (-1170))
-      (-4 *5 (-13 (-556) (-1035 (-564)) (-147)))
-      (-5 *2
-       (-2 (|:| -2537 (-407 (-949 *5))) (|:| |coeff| (-407 (-949 *5)))))
-      (-5 *1 (-570 *5)) (-5 *3 (-407 (-949 *5)))))) 
-(((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-599 *3))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-1150 *3))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-963 *3)) (-4 *3 (-964))))) 
-(((*1 *2 *3 *4)
-  (|partial| -12 (-5 *4 (-407 *2)) (-4 *2 (-1235 *5))
-      (-5 *1 (-804 *5 *2 *3 *6))
-      (-4 *5 (-13 (-363) (-147) (-1035 (-407 (-564)))))
-      (-4 *3 (-652 *2)) (-4 *6 (-652 *4))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-641 (-407 *2))) (-4 *2 (-1235 *5))
-   (-5 *1 (-804 *5 *2 *3 *6))
-   (-4 *5 (-13 (-363) (-147) (-1035 (-407 (-564))))) (-4 *3 (-652 *2))
-   (-4 *6 (-652 (-407 *2)))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-918)) (-4 *1 (-741 *3)) (-4 *3 (-172))))) 
-(((*1 *1 *1 *1 *2)
-  (-12 (-4 *1 (-1060 *3 *4 *2)) (-4 *3 (-1046)) (-4 *4 (-790))
-   (-4 *2 (-847))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1060 *2 *3 *4)) (-4 *2 (-1046)) (-4 *3 (-790))
-   (-4 *4 (-847))))) 
-(((*1 *2 *3 *4 *4 *3 *3 *3)
-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
-   (-5 *1 (-748))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-641 (-564))) (-5 *1 (-50 *3 *4)) (-4 *3 (-1046))
-   (-14 *4 (-641 (-1170)))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
-   (-4 *2 (-13 (-430 *3) (-999)))))
- ((*1 *2 *2)
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- ((*1 *2 *2)
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- ((*1 *1 *1) (-4 *1 (-284)))
- ((*1 *1 *1)
-  (-12 (-5 *1 (-339 *2 *3 *4)) (-14 *2 (-641 (-1170)))
-   (-14 *3 (-641 (-1170))) (-4 *4 (-387))))
- ((*1 *1 *2)
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-   (-5 *1 (-1155 *3))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
-   (-5 *1 (-1156 *3))))
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-  (-12 (-5 *3 (-768)) (-4 *4 (-13 (-1046) (-714 (-407 (-564)))))
-   (-4 *5 (-847)) (-5 *1 (-1275 *4 *5 *2)) (-4 *2 (-1280 *5 *4))))
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-  (-12 (-5 *2 (-768)) (-5 *1 (-1279 *3 *4))
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-(((*1 *2 *3 *3)
-  (-12 (-5 *3 (-641 (-564))) (-5 *2 (-685 (-564))) (-5 *1 (-1104))))) 
-(((*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-564))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-768))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-918))))
- ((*1 *1 *1 *1)
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- ((*1 *1 *1 *2)
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- ((*1 *1 *2 *3)
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- ((*1 *1 *2 *3)
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- ((*1 *1 *2 *3)
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- ((*1 *1 *2 *1)
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-    (-1 (-112) (-2 (|:| -3338 *5) (|:| -3078 *6))
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-   (-5 *1 (-461 *3 *4 *5 *6 *7 *2)) (-4 *5 (-847))
-   (-4 *2 (-946 *4 *6 (-861 *3)))))
- ((*1 *1 *1 *2)
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- ((*1 *1 *1 *1)
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- ((*1 *2 *2 *2)
-  (-12 (-5 *2 (-1259 *3)) (-4 *3 (-349)) (-5 *1 (-528 *3))))
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- ((*1 *2 *3 *4)
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-   (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-1 *7 *5))
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- ((*1 *2 *2 *1)
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-   (-4 *4 (-373 *3))))
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-   (-4 *4 (-373 *2))))
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-   (-4 *4 (-373 *2))))
- ((*1 *1 *1 *1)
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-   (-4 *4 (-373 *2))))
- ((*1 *1 *1 *1) (-4 *1 (-717)))
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- ((*1 *1 *2 *1) (-12 (-5 *1 (-816 *2)) (-4 *2 (-847))))
- ((*1 *1 *1 *1) (-5 *1 (-859)))
- ((*1 *1 *1 *1) (-12 (-5 *1 (-889 *2)) (-4 *2 (-1094))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-1259 *4)) (-4 *4 (-1235 *3)) (-4 *3 (-556))
-   (-5 *1 (-966 *3 *4))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-1052 *2)) (-4 *2 (-1053))))
- ((*1 *1 *1 *1) (-4 *1 (-1106)))
- ((*1 *2 *2 *1)
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- ((*1 *2 *1 *2)
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-   (-4 *2 (-238 *3 *4))))
- ((*1 *1 *2 *1)
-  (-12 (-4 *3 (-1046)) (-4 *4 (-847)) (-5 *1 (-1120 *3 *4 *2))
-   (-4 *2 (-946 *3 (-531 *4) *4))))
- ((*1 *2 *2 *2)
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- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-1046)) (-5 *1 (-1154 *3))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-1046)) (-5 *1 (-1154 *3))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-940 (-225))) (-5 *3 (-225)) (-5 *1 (-1205))))
- ((*1 *1 *1 *2)
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- ((*1 *1 *2 *1)
-  (-12 (-4 *1 (-1257 *2)) (-4 *2 (-1209)) (-4 *2 (-723))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-564)) (-4 *1 (-1257 *3)) (-4 *3 (-1209)) (-4 *3 (-21))))
- ((*1 *1 *2 *1)
-  (-12 (-4 *1 (-1276 *2 *3)) (-4 *2 (-847)) (-4 *3 (-1046))))
- ((*1 *1 *1 *2)
-  (-12 (-4 *1 (-1276 *3 *2)) (-4 *3 (-847)) (-4 *2 (-1046))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *1 (-1282 *2 *3)) (-4 *2 (-1046)) (-4 *3 (-843))))) 
+(((*1 *2) (-12 (-5 *2 (-641 (-918))) (-5 *1 (-1262))))
+ ((*1 *2 *2) (-12 (-5 *2 (-641 (-918))) (-5 *1 (-1262))))) 
 (((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-685 (-407 (-949 (-564)))))
-      (-5 *2 (-685 (-316 (-564)))) (-5 *1 (-1028))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-871)) (-5 *1 (-263))))
- ((*1 *1 *2) (-12 (-5 *2 (-379)) (-5 *1 (-263))))) 
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
-  (-12 (-5 *3 (-1 (-379) (-379))) (-5 *4 (-379))
-   (-5 *2
-    (-2 (|:| -3387 *4) (|:| -2000 *4) (|:| |totalpts| (-564))
-     (|:| |success| (-112))))
-   (-5 *1 (-786)) (-5 *5 (-564))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-254 *2)) (-4 *2 (-1209))))) 
-(((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-599 *3))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-1150 *3))))) 
-(((*1 *2 *3 *2) (-12 (-5 *3 (-768)) (-5 *1 (-853 *2)) (-4 *2 (-172))))
- ((*1 *2 *3 *3 *2)
-  (-12 (-5 *3 (-768)) (-5 *1 (-853 *2)) (-4 *2 (-172))))) 
+  (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1094)) (-4 *5 (-1094))
+   (-4 *6 (-1094)) (-5 *2 (-1 *6 *5 *4)) (-5 *1 (-680 *4 *5 *6))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-247 *4 *5)) (-14 *4 (-641 (-1170))) (-4 *5 (-452))
+   (-5 *2 (-481 *4 *5)) (-5 *1 (-629 *4 *5))))) 
 (((*1 *2 *1)
-  (-12
-   (-5 *2
-    (-641
-     (-2
-      (|:| -1350
-           (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
-            (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-            (|:| |relerr| (-225))))
-      (|:| -2575
-           (-2
-            (|:| |endPointContinuity|
-                 (-3 (|:| |continuous| "Continuous at the end points")
-                  (|:| |lowerSingular|
-                       "There is a singularity at the lower end point")
-                  (|:| |upperSingular|
-                       "There is a singularity at the upper end point")
-                  (|:| |bothSingular|
-                       "There are singularities at both end points")
-                  (|:| |notEvaluated|
-                       "End point continuity not yet evaluated")))
-            (|:| |singularitiesStream|
-                 (-3 (|:| |str| (-1150 (-225)))
-                  (|:| |notEvaluated|
-                       "Internal singularities not yet evaluated")))
-            (|:| -4167
-                 (-3 (|:| |finite| "The range is finite")
-                  (|:| |lowerInfinite|
-                       "The bottom of range is infinite")
-                  (|:| |upperInfinite| "The top of range is infinite")
-                  (|:| |bothInfinite|
-                       "Both top and bottom points are infinite")
-                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
-   (-5 *1 (-559))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-602 *3 *4)) (-4 *3 (-1094)) (-4 *4 (-1209))
-   (-5 *2 (-641 *4))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-1 *3 *3 (-564))) (-4 *3 (-1046)) (-5 *1 (-99 *3))))
- ((*1 *1 *2 *2)
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-           (|:| |notEvaluated| "Range not yet evaluated")))))
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+                 (|:| |lowerSingular|
+                      "There is a singularity at the lower end point")
+                 (|:| |upperSingular|
+                      "There is a singularity at the upper end point")
+                 (|:| |bothSingular|
+                      "There are singularities at both end points")
+                 (|:| |notEvaluated|
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+                 (|:| |notEvaluated|
+                      "Internal singularities not yet evaluated")))
+           (|:| -1743
+                (-3 (|:| |finite| "The range is finite")
+                 (|:| |lowerInfinite|
+                      "The bottom of range is infinite")
+                 (|:| |upperInfinite| "The top of range is infinite")
+                 (|:| |bothInfinite|
+                      "Both top and bottom points are infinite")
+                 (|:| |notEvaluated| "Range not yet evaluated")))))))
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            (|:| |abserr| (-225)) (|:| |relerr| (-225))))))
    (-5 *1 (-766))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2 (|:| |fn| (-316 (-225)))
-     (|:| -4167 (-641 (-1088 (-840 (-225))))) (|:| |abserr| (-225))
-     (|:| |relerr| (-225))))
-   (-5 *1 (-766))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
-     (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-     (|:| |relerr| (-225))))
-   (-5 *1 (-766))))
- ((*1 *2 *3) (-12 (-5 *2 (-771)) (-5 *1 (-770 *3)) (-4 *3 (-1209))))
- ((*1 *1 *2)
+ ((*1 *2 *1)
   (-12
    (-5 *2
     (-2 (|:| |xinit| (-225)) (|:| |xend| (-225))
@@ -4279,42 +4880,20 @@
      (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225)))
      (|:| |abserr| (-225)) (|:| |relerr| (-225))))
    (-5 *1 (-805))))
- ((*1 *1 *2) (-12 (-5 *2 (-1170)) (-5 *1 (-821))))
- ((*1 *1 *2)
+ ((*1 *2 *1)
   (-12
    (-5 *2
     (-3
      (|:| |noa|
-          (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225)))
+          (-2 (|:| |fn| (-316 (-225))) (|:| -2558 (-641 (-225)))
            (|:| |lb| (-641 (-840 (-225))))
            (|:| |cf| (-641 (-316 (-225))))
            (|:| |ub| (-641 (-840 (-225))))))
      (|:| |lsa|
           (-2 (|:| |lfn| (-641 (-316 (-225))))
-           (|:| -3304 (-641 (-225)))))))
-   (-5 *1 (-838))))
- ((*1 *1 *2)
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-   (-5 *1 (-838))))
- ((*1 *1 *2)
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-   (-5 *2
-    (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225)))
-     (|:| |lb| (-641 (-840 (-225)))) (|:| |cf| (-641 (-316 (-225))))
-     (|:| |ub| (-641 (-840 (-225))))))
+           (|:| -2558 (-641 (-225)))))))
    (-5 *1 (-838))))
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- ((*1 *1 *2) (-12 (-5 *2 (-157)) (-5 *1 (-871))))
- ((*1 *2 *3)
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- ((*1 *2 *1) (-12 (-5 *2 (-816 *3)) (-5 *1 (-890 *3)) (-4 *3 (-847))))
- ((*1 *1 *2)
+ ((*1 *2 *1)
   (-12
    (-5 *2
     (-2 (|:| |pde| (-641 (-316 (-225))))
@@ -4327,350 +4906,116 @@
      (|:| |tol| (-225))))
    (-5 *1 (-895))))
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- ((*1 *1 *2)
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- ((*1 *1 *2) (-12 (-5 *2 (-1170)) (-5 *1 (-963 *3)) (-4 *3 (-964))))
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+(((*1 *2 *2)
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 (((*1 *1 *1)
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 (((*1 *2 *2)
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@@ -4683,176 +5028,234 @@
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 (((*1 *2 *1)
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@@ -4868,547 +5271,229 @@
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 (((*1 *2 *3 *4 *4)
   (-12 (-5 *4 (-1170)) (-5 *2 (-1 *7 *5 *6)) (-5 *1 (-698 *3 *5 *6 *7))
    (-4 *3 (-612 (-536))) (-4 *5 (-1209)) (-4 *6 (-1209))
@@ -5416,74 +5501,127 @@
  ((*1 *2 *3 *4)
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- ((*1 *2 *1) (-12 (-5 *2 (-768)) (-5 *1 (-275))))
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+ ((*1 *2 *3 *4 *2)
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+   (-4 *6 (-13 (-847) (-1035 (-610 $)) (-612 *4) (-883 *5)))
+   (-5 *4 (-889 *5)) (-5 *1 (-931 *5 *6))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-882 *5 *6 *3)) (-5 *4 (-889 *5)) (-4 *5 (-1094))
+   (-4 *6 (-883 *5)) (-4 *3 (-662 *6)) (-5 *1 (-932 *5 *6 *3))))
+ ((*1 *2 *3 *4 *2 *5)
+  (-12 (-5 *5 (-1 (-886 *6 *3) *8 (-889 *6) (-886 *6 *3)))
+   (-4 *8 (-847)) (-5 *2 (-886 *6 *3)) (-5 *4 (-889 *6))
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+   (-4 *7 (-790)) (-4 *9 (-13 (-1046) (-847) (-883 *6)))
+   (-5 *1 (-933 *6 *7 *8 *9 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-886 *5 *3)) (-4 *5 (-1094))
+   (-4 *3 (-13 (-946 *8 *6 *7) (-612 *4))) (-5 *4 (-889 *5))
+   (-4 *7 (-883 *5)) (-4 *6 (-790)) (-4 *7 (-847))
+   (-4 *8 (-13 (-1046) (-847) (-883 *5)))
+   (-5 *1 (-933 *5 *6 *7 *8 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-886 *5 *3)) (-4 *5 (-1094)) (-4 *3 (-989 *6))
+   (-4 *6 (-13 (-556) (-883 *5) (-612 *4))) (-5 *4 (-889 *5))
+   (-5 *1 (-936 *5 *6 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-886 *5 (-1170))) (-5 *3 (-1170)) (-5 *4 (-889 *5))
+   (-4 *5 (-1094)) (-5 *1 (-937 *5))))
+ ((*1 *2 *3 *4 *5 *2 *6)
+  (-12 (-5 *4 (-641 (-889 *7))) (-5 *5 (-1 *9 (-641 *9)))
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+   (-5 *2 (-886 *7 *9)) (-5 *3 (-641 *9)) (-4 *8 (-13 (-1046) (-847)))
+   (-5 *1 (-938 *7 *8 *9))))) 
+(((*1 *2 *3 *4 *3)
+  (|partial| -12 (-5 *4 (-1170))
+      (-4 *5 (-13 (-452) (-847) (-147) (-1035 (-564)) (-637 (-564))))
+      (-5 *2 (-2 (|:| -3526 *3) (|:| |coeff| *3))) (-5 *1 (-557 *5 *3))
+      (-4 *3 (-13 (-27) (-1194) (-430 *5)))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1060 *2 *3 *4)) (-4 *2 (-1046)) (-4 *3 (-790))
+   (-4 *4 (-847)) (-4 *2 (-452))))) 
+(((*1 *2 *2 *3 *3 *4)
+  (-12 (-5 *4 (-768)) (-4 *3 (-556)) (-5 *1 (-966 *3 *2))
+   (-4 *2 (-1235 *3))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-641 *1)) (-4 *3 (-1046)) (-4 *1 (-683 *3 *4 *5))
+   (-4 *4 (-373 *3)) (-4 *5 (-373 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-641 *3)) (-4 *3 (-1046)) (-4 *1 (-683 *3 *4 *5))
+   (-4 *4 (-373 *3)) (-4 *5 (-373 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1259 *3)) (-4 *3 (-1046)) (-5 *1 (-685 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-641 *4)) (-4 *4 (-1046)) (-4 *1 (-1117 *3 *4 *5 *6))
+   (-4 *5 (-238 *3 *4)) (-4 *6 (-238 *3 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-685 (-169 (-407 (-564))))) (-5 *2 (-641 (-169 *4)))
+   (-5 *1 (-761 *4)) (-4 *4 (-13 (-363) (-845)))))) 
+(((*1 *2 *2)
+  (-12
+   (-5 *2
+    (-641
+     (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-768)) (|:| |poli| *6)
+      (|:| |polj| *6))))
+   (-4 *4 (-790)) (-4 *6 (-946 *3 *4 *5)) (-4 *3 (-452)) (-4 *5 (-847))
+   (-5 *1 (-449 *3 *4 *5 *6))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-599 *3))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1209)) (-5 *1 (-1150 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-918)) (-5 *1 (-1262))))
+ ((*1 *2 *2) (-12 (-5 *2 (-918)) (-5 *1 (-1262))))) 
+(((*1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-467))))
+ ((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-467))))
+ ((*1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-924))))) 
+(((*1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-1003))))
+ ((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-1003))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-838)) (-5 *2 (-1032)) (-5 *1 (-837))))
  ((*1 *2 *3 *4)
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- ((*1 *2 *1) (-12 (-4 *1 (-329 *3)) (-4 *3 (-363)) (-5 *2 (-918))))
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-  (-12 (-4 *1 (-374 *3 *4)) (-4 *3 (-847)) (-4 *4 (-172))
-   (-5 *2 (-768))))
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- ((*1 *2 *1)
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-   (-4 *4 (-1235 *3))))
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- ((*1 *2 *1) (-12 (-4 *1 (-849 *3)) (-4 *3 (-1046)) (-5 *2 (-768))))
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- ((*1 *2 *1) (-12 (-5 *2 (-768)) (-5 *1 (-902 *3)) (-4 *3 (-1094))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-641 *6)) (-4 *1 (-946 *4 *5 *6)) (-4 *4 (-1046))
-   (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-641 (-768)))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *1 (-946 *4 *5 *3)) (-4 *4 (-1046)) (-4 *5 (-790))
-   (-4 *3 (-847)) (-5 *2 (-768))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-970 *3 *2 *4)) (-4 *3 (-1046)) (-4 *4 (-847))
-   (-4 *2 (-789))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1202 *3 *4 *5 *6)) (-4 *3 (-556)) (-4 *4 (-790))
-   (-4 *5 (-847)) (-4 *6 (-1060 *3 *4 *5)) (-5 *2 (-768))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1221 *3 *4)) (-4 *3 (-1046)) (-4 *4 (-1250 *3))
-   (-5 *2 (-564))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1242 *3 *4)) (-4 *3 (-1046)) (-4 *4 (-1219 *3))
-   (-5 *2 (-407 (-564)))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1278 *3)) (-4 *3 (-363)) (-5 *2 (-830 (-918)))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1280 *3 *4)) (-4 *3 (-847)) (-4 *4 (-1046))
-   (-5 *2 (-768))))) 
-(((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-564)) (|has| *1 (-6 -4413)) (-4 *1 (-373 *3))
-   (-4 *3 (-1209))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-641 (-564))) (-5 *1 (-247 *3 *4))
-   (-14 *3 (-641 (-1170))) (-4 *4 (-1046))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-641 (-564))) (-14 *3 (-641 (-1170)))
-   (-5 *1 (-454 *3 *4 *5)) (-4 *4 (-1046))
-   (-4 *5 (-238 (-2779 *3) (-768)))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-641 (-564))) (-5 *1 (-481 *3 *4))
-   (-14 *3 (-641 (-1170))) (-4 *4 (-1046))))) 
+  (-12 (-5 *3 (-641 (-316 (-379)))) (-5 *4 (-641 (-379)))
+   (-5 *2 (-1032)) (-5 *1 (-837))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-641 (-407 (-949 (-564)))))
    (-5 *2 (-641 (-641 (-294 (-949 *4))))) (-5 *1 (-380 *4))
@@ -5503,7 +5641,7 @@
   (|partial| -12 (-5 *5 (-1170))
       (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
       (-4 *4 (-13 (-29 *6) (-1194) (-956)))
-      (-5 *2 (-2 (|:| |particular| *4) (|:| -4339 (-641 *4))))
+      (-5 *2 (-2 (|:| |particular| *4) (|:| -2745 (-641 *4))))
       (-5 *1 (-648 *6 *4 *3)) (-4 *3 (-652 *4))))
  ((*1 *2 *3 *2 *4 *2 *5)
   (|partial| -12 (-5 *4 (-1170)) (-5 *5 (-641 *2))
@@ -5514,40 +5652,40 @@
   (-12 (-5 *3 (-685 *5)) (-4 *5 (-363))
    (-5 *2
     (-2 (|:| |particular| (-3 (-1259 *5) "failed"))
-     (|:| -4339 (-641 (-1259 *5)))))
+     (|:| -2745 (-641 (-1259 *5)))))
    (-5 *1 (-663 *5)) (-5 *4 (-1259 *5))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-641 (-641 *5))) (-4 *5 (-363))
    (-5 *2
     (-2 (|:| |particular| (-3 (-1259 *5) "failed"))
-     (|:| -4339 (-641 (-1259 *5)))))
+     (|:| -2745 (-641 (-1259 *5)))))
    (-5 *1 (-663 *5)) (-5 *4 (-1259 *5))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-685 *5)) (-4 *5 (-363))
    (-5 *2
     (-641
      (-2 (|:| |particular| (-3 (-1259 *5) "failed"))
-      (|:| -4339 (-641 (-1259 *5))))))
+      (|:| -2745 (-641 (-1259 *5))))))
    (-5 *1 (-663 *5)) (-5 *4 (-641 (-1259 *5)))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-641 (-641 *5))) (-4 *5 (-363))
    (-5 *2
     (-641
      (-2 (|:| |particular| (-3 (-1259 *5) "failed"))
-      (|:| -4339 (-641 (-1259 *5))))))
+      (|:| -2745 (-641 (-1259 *5))))))
    (-5 *1 (-663 *5)) (-5 *4 (-641 (-1259 *5)))))
  ((*1 *2 *3 *4)
   (-12 (-4 *5 (-363)) (-4 *6 (-13 (-373 *5) (-10 -7 (-6 -4413))))
    (-4 *4 (-13 (-373 *5) (-10 -7 (-6 -4413))))
    (-5 *2
-    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -4339 (-641 *4))))
+    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -2745 (-641 *4))))
    (-5 *1 (-664 *5 *6 *4 *3)) (-4 *3 (-683 *5 *6 *4))))
  ((*1 *2 *3 *4)
   (-12 (-4 *5 (-363)) (-4 *6 (-13 (-373 *5) (-10 -7 (-6 -4413))))
    (-4 *7 (-13 (-373 *5) (-10 -7 (-6 -4413))))
    (-5 *2
     (-641
-     (-2 (|:| |particular| (-3 *7 "failed")) (|:| -4339 (-641 *7)))))
+     (-2 (|:| |particular| (-3 *7 "failed")) (|:| -2745 (-641 *7)))))
    (-5 *1 (-664 *5 *6 *7 *3)) (-5 *4 (-641 *7))
    (-4 *3 (-683 *5 *6 *7))))
  ((*1 *2 *3 *4)
@@ -5565,7 +5703,7 @@
       (-4 *7 (-13 (-29 *6) (-1194) (-956)))
       (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
       (-5 *2
-       (-2 (|:| |particular| (-1259 *7)) (|:| -4339 (-641 (-1259 *7)))))
+       (-2 (|:| |particular| (-1259 *7)) (|:| -2745 (-641 (-1259 *7)))))
       (-5 *1 (-799 *6 *7)) (-5 *4 (-1259 *7))))
  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-685 *6)) (-5 *4 (-1170))
@@ -5577,27 +5715,27 @@
       (-5 *5 (-1170)) (-4 *7 (-13 (-29 *6) (-1194) (-956)))
       (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
       (-5 *2
-       (-2 (|:| |particular| (-1259 *7)) (|:| -4339 (-641 (-1259 *7)))))
+       (-2 (|:| |particular| (-1259 *7)) (|:| -2745 (-641 (-1259 *7)))))
       (-5 *1 (-799 *6 *7))))
  ((*1 *2 *3 *4 *5)
   (|partial| -12 (-5 *3 (-641 *7)) (-5 *4 (-641 (-114)))
       (-5 *5 (-1170)) (-4 *7 (-13 (-29 *6) (-1194) (-956)))
       (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
       (-5 *2
-       (-2 (|:| |particular| (-1259 *7)) (|:| -4339 (-641 (-1259 *7)))))
+       (-2 (|:| |particular| (-1259 *7)) (|:| -2745 (-641 (-1259 *7)))))
       (-5 *1 (-799 *6 *7))))
  ((*1 *2 *3 *4 *5)
   (-12 (-5 *3 (-294 *7)) (-5 *4 (-114)) (-5 *5 (-1170))
    (-4 *7 (-13 (-29 *6) (-1194) (-956)))
    (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
    (-5 *2
-    (-3 (-2 (|:| |particular| *7) (|:| -4339 (-641 *7))) *7 "failed"))
+    (-3 (-2 (|:| |particular| *7) (|:| -2745 (-641 *7))) *7 "failed"))
    (-5 *1 (-799 *6 *7))))
  ((*1 *2 *3 *4 *5)
   (-12 (-5 *4 (-114)) (-5 *5 (-1170))
    (-4 *6 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
    (-5 *2
-    (-3 (-2 (|:| |particular| *3) (|:| -4339 (-641 *3))) *3 "failed"))
+    (-3 (-2 (|:| |particular| *3) (|:| -2745 (-641 *3))) *3 "failed"))
    (-5 *1 (-799 *6 *3)) (-4 *3 (-13 (-29 *6) (-1194) (-956)))))
  ((*1 *2 *3 *4 *3 *5)
   (|partial| -12 (-5 *3 (-294 *2)) (-5 *4 (-114)) (-5 *5 (-641 *2))
@@ -5633,10 +5771,10 @@
   (|partial| -12
       (-5 *5
        (-1
-        (-3 (-2 (|:| |particular| *6) (|:| -4339 (-641 *6))) "failed")
+        (-3 (-2 (|:| |particular| *6) (|:| -2745 (-641 *6))) "failed")
         *7 *6))
       (-4 *6 (-363)) (-4 *7 (-652 *6))
-      (-5 *2 (-2 (|:| |particular| (-1259 *6)) (|:| -4339 (-685 *6))))
+      (-5 *2 (-2 (|:| |particular| (-1259 *6)) (|:| -2745 (-685 *6))))
       (-5 *1 (-810 *6 *7)) (-5 *3 (-685 *6)) (-5 *4 (-1259 *6))))
  ((*1 *2 *3) (-12 (-5 *3 (-895)) (-5 *2 (-1032)) (-5 *1 (-894))))
  ((*1 *2 *3 *4)
@@ -5709,716 +5847,399 @@
  ((*1 *2 *3)
   (-12 (-4 *4 (-556)) (-5 *2 (-641 (-294 (-407 (-949 *4)))))
    (-5 *1 (-1178 *4)) (-5 *3 (-294 (-407 (-949 *4))))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-407 *5)) (-4 *5 (-1235 *4)) (-4 *4 (-556))
-   (-4 *4 (-1046)) (-4 *2 (-1250 *4)) (-5 *1 (-1253 *4 *5 *6 *2))
-   (-4 *6 (-652 *5))))) 
 (((*1 *2 *3 *3)
-  (-12 (-5 *3 (-1259 *5)) (-4 *5 (-789)) (-5 *2 (-112))
-   (-5 *1 (-842 *4 *5)) (-14 *4 (-768))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-641 (-641 *3))) (-4 *3 (-1046)) (-4 *1 (-683 *3 *4 *5))
-   (-4 *4 (-373 *3)) (-4 *5 (-373 *3))))
- ((*1 *1 *2) (-12 (-5 *2 (-641 (-641 (-859)))) (-5 *1 (-859))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-1136 *3 *4)) (-5 *1 (-990 *3 *4)) (-14 *3 (-918))
-   (-4 *4 (-363))))
- ((*1 *1 *2)
-  (-12 (-5 *2 (-641 (-641 *5))) (-4 *5 (-1046))
-   (-4 *1 (-1049 *3 *4 *5 *6 *7)) (-4 *6 (-238 *4 *5))
-   (-4 *7 (-238 *3 *5))))) 
-(((*1 *2 *2 *3 *4)
-  (|partial| -12 (-5 *2 (-641 (-1166 *7))) (-5 *3 (-1166 *7))
-      (-4 *7 (-946 *5 *6 *4)) (-4 *5 (-906)) (-4 *6 (-790))
-      (-4 *4 (-847)) (-5 *1 (-903 *5 *6 *4 *7))))) 
-(((*1 *2 *3 *4 *3 *4 *3)
-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
-   (-5 *1 (-753))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1152)) (-5 *2 (-564)) (-5 *1 (-1191 *4))
-   (-4 *4 (-1046))))) 
-(((*1 *1 *1 *2)
-  (-12
-   (-5 *2
-    (-2 (|:| -1410 (-641 (-859))) (|:| -3884 (-641 (-859)))
-     (|:| |presup| (-641 (-859))) (|:| -3080 (-641 (-859)))
-     (|:| |args| (-641 (-859)))))
-   (-5 *1 (-1170))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-641 (-859)))) (-5 *1 (-1170))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1060 *3 *4 *5)) (-4 *3 (-1046)) (-4 *4 (-790))
-   (-4 *5 (-847)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-859))) (-5 *1 (-859))))
- ((*1 *2 *1)
-  (-12
-   (-5 *2
-    (-2 (|:| -1410 (-641 (-859))) (|:| -3884 (-641 (-859)))
-     (|:| |presup| (-641 (-859))) (|:| -3080 (-641 (-859)))
-     (|:| |args| (-641 (-859)))))
-   (-5 *1 (-1170))))) 
-(((*1 *2 *3 *4 *5 *6)
-  (|partial| -12 (-5 *4 (-1170)) (-5 *6 (-641 (-610 *3)))
-      (-5 *5 (-610 *3)) (-4 *3 (-13 (-27) (-1194) (-430 *7)))
-      (-4 *7 (-13 (-452) (-847) (-147) (-1035 (-564)) (-637 (-564))))
-      (-5 *2 (-2 (|:| -2537 *3) (|:| |coeff| *3)))
-      (-5 *1 (-557 *7 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1172 (-407 (-564)))) (-5 *1 (-190)) (-5 *3 (-564))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-379)) (-5 *1 (-97))))
- ((*1 *2 *3 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-379)) (-5 *1 (-97))))) 
-(((*1 *1 *1 *2 *2)
-  (|partial| -12 (-5 *2 (-918)) (-5 *1 (-1095 *3 *4)) (-14 *3 *2)
-      (-14 *4 *2)))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-1172 (-407 (-564)))) (-5 *1 (-190))))) 
+  (-12 (-5 *2 (-1150 (-641 (-564)))) (-5 *1 (-880))
+   (-5 *3 (-641 (-564)))))) 
+(((*1 *2) (-12 (-5 *2 (-1141 (-1152))) (-5 *1 (-391))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1276 *2 *3)) (-4 *2 (-847)) (-4 *3 (-1046))))
+ ((*1 *1 *1)
+  (-12 (-5 *1 (-1282 *2 *3)) (-4 *2 (-1046)) (-4 *3 (-843))))) 
+(((*1 *1) (-12 (-4 *1 (-329 *2)) (-4 *2 (-368)) (-4 *2 (-363))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-407 *2)) (-5 *4 (-1 *2 *2)) (-4 *2 (-1235 *5))
-   (-5 *1 (-724 *5 *2)) (-4 *5 (-363))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-768)) (-5 *1 (-134))))) 
-(((*1 *2 *3)
-  (-12 (-4 *1 (-342 *4 *3 *5)) (-4 *4 (-1213)) (-4 *3 (-1235 *4))
-   (-4 *5 (-1235 (-407 *3))) (-5 *2 (-112))))
+  (-12 (-5 *4 (-918)) (-4 *6 (-13 (-556) (-847)))
+   (-5 *2 (-641 (-316 *6))) (-5 *1 (-221 *5 *6)) (-5 *3 (-316 *6))
+   (-4 *5 (-1046))))
+ ((*1 *2 *1) (-12 (-5 *1 (-418 *2)) (-4 *2 (-556))))
  ((*1 *2 *3)
-  (-12 (-4 *1 (-342 *3 *4 *5)) (-4 *3 (-1213)) (-4 *4 (-1235 *3))
-   (-4 *5 (-1235 (-407 *4))) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1150 *3)) (-5 *1 (-174 *3)) (-4 *3 (-307))))) 
-(((*1 *2 *1 *3 *3)
-  (-12 (-5 *3 (-564)) (-5 *2 (-1264)) (-5 *1 (-1261))))
- ((*1 *2 *1 *3 *3)
-  (-12 (-5 *3 (-379)) (-5 *2 (-1264)) (-5 *1 (-1261))))) 
-(((*1 *2 *2 *2)
-  (-12 (-5 *2 (-641 (-610 *4))) (-4 *4 (-430 *3)) (-4 *3 (-847))
-   (-5 *1 (-573 *3 *4))))
- ((*1 *1 *1 *1)
-  (-12 (-5 *1 (-886 *2 *3)) (-4 *2 (-1094)) (-4 *3 (-1094))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-1092 *2)) (-4 *2 (-1094))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-1092 *2)) (-4 *2 (-1094))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-1092 *2)) (-4 *2 (-1094))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1046))
-   (-4 *2 (-13 (-404) (-1035 *4) (-363) (-1194) (-284)))
-   (-5 *1 (-443 *4 *3 *2)) (-4 *3 (-1235 *4))))
- ((*1 *1 *1) (-4 *1 (-545)))
- ((*1 *2 *1) (-12 (-5 *2 (-918)) (-5 *1 (-668 *3)) (-4 *3 (-847))))
- ((*1 *2 *1) (-12 (-5 *2 (-918)) (-5 *1 (-673 *3)) (-4 *3 (-847))))
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+                  (|:| |lowerSingular|
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+                  (|:| |upperSingular|
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+                  (|:| |bothSingular|
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+                  (|:| |notEvaluated|
+                       "End point continuity not yet evaluated")))
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+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -1743
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+                  (|:| |lowerInfinite|
+                       "The bottom of range is infinite")
+                  (|:| |upperInfinite| "The top of range is infinite")
+                  (|:| |bothInfinite|
+                       "Both top and bottom points are infinite")
+                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
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+    (-2
+     (|:| |endPointContinuity|
+          (-3 (|:| |continuous| "Continuous at the end points")
+           (|:| |lowerSingular|
+                "There is a singularity at the lower end point")
+           (|:| |upperSingular|
+                "There is a singularity at the upper end point")
+           (|:| |bothSingular|
+                "There are singularities at both end points")
+           (|:| |notEvaluated|
+                "End point continuity not yet evaluated")))
+     (|:| |singularitiesStream|
+          (-3 (|:| |str| (-1150 (-225)))
+           (|:| |notEvaluated|
+                "Internal singularities not yet evaluated")))
+     (|:| -1743
+          (-3 (|:| |finite| "The range is finite")
+           (|:| |lowerInfinite| "The bottom of range is infinite")
+           (|:| |upperInfinite| "The top of range is infinite")
+           (|:| |bothInfinite|
+                "Both top and bottom points are infinite")
+           (|:| |notEvaluated| "Range not yet evaluated")))))
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    (-5 *2
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  ((*1 *2 *3 *4)
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    (-5 *2
-    (-2 (|:| |poly| *6) (|:| -3139 (-407 *6))
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      (|:| |special| (-407 *6))))
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  ((*1 *2 *3)
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    (-4 *3 (-1235 *4))))
  ((*1 *2 *3 *4 *4)
   (|partial| -12 (-5 *4 (-768)) (-4 *5 (-363))
-      (-5 *2 (-2 (|:| -2578 *3) (|:| -2592 *3))) (-5 *1 (-893 *3 *5))
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       (-4 *3 (-1235 *5))))
  ((*1 *2 *3 *2 *4 *4)
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@@ -6803,1480 +7175,1897 @@
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 (((*1 *2 *3)
-  (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-564))) (-5 *1 (-1044))))) 
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+   (-5 *1 (-468))))) 
+(((*1 *2 *2 *3)
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 (((*1 *2 *3)
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-(((*1 *1 *2)
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-225)) (|:| |xend| (-225))
+     (|:| |fn| (-1259 (-316 (-225)))) (|:| |yinit| (-641 (-225)))
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+(((*1 *1 *2 *2)
   (-12
    (-5 *2
-    (-641
-     (-2
-      (|:| -1350
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-            (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-            (|:| |relerr| (-225))))
-      (|:| -2575
-           (-2
-            (|:| |endPointContinuity|
-                 (-3 (|:| |continuous| "Continuous at the end points")
-                  (|:| |lowerSingular|
-                       "There is a singularity at the lower end point")
-                  (|:| |upperSingular|
-                       "There is a singularity at the upper end point")
-                  (|:| |bothSingular|
-                       "There are singularities at both end points")
-                  (|:| |notEvaluated|
-                       "End point continuity not yet evaluated")))
-            (|:| |singularitiesStream|
-                 (-3 (|:| |str| (-1150 (-225)))
-                  (|:| |notEvaluated|
-                       "Internal singularities not yet evaluated")))
-            (|:| -4167
-                 (-3 (|:| |finite| "The range is finite")
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 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
@@ -9331,838 +9471,409 @@
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 (((*1 *1 *1)
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+   (-4 *4 (-1046))))) 
 (((*1 *2 *3)
+  (-12 (-5 *3 (-316 (-379))) (-5 *2 (-316 (-225))) (-5 *1 (-305))))) 
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   (-12
    (-5 *3
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-   (-5 *2
-    (-2
-     (|:| |endPointContinuity|
-          (-3 (|:| |continuous| "Continuous at the end points")
-           (|:| |lowerSingular|
-                "There is a singularity at the lower end point")
-           (|:| |upperSingular|
-                "There is a singularity at the upper end point")
-           (|:| |bothSingular|
-                "There are singularities at both end points")
-           (|:| |notEvaluated|
-                "End point continuity not yet evaluated")))
-     (|:| |singularitiesStream|
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-           (|:| |notEvaluated|
-                "Internal singularities not yet evaluated")))
-     (|:| -4167
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-           (|:| |lowerInfinite| "The bottom of range is infinite")
-           (|:| |upperInfinite| "The top of range is infinite")
-           (|:| |bothInfinite|
-                "Both top and bottom points are infinite")
-           (|:| |notEvaluated| "Range not yet evaluated")))))
-   (-5 *1 (-559))))) 
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+     (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2)
+      (|:| |xpnt| (-564)))))
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+   (-5 *3
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 (((*1 *2 *3)
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-(((*1 *2 *1)
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-   (-5 *1 (-1156 *3))))) 
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+  (|partial| -12
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+        (|:| |relerr| (-225))))
+      (-5 *2
+       (-2
+        (|:| |endPointContinuity|
+             (-3 (|:| |continuous| "Continuous at the end points")
+              (|:| |lowerSingular|
+                   "There is a singularity at the lower end point")
+              (|:| |upperSingular|
+                   "There is a singularity at the upper end point")
+              (|:| |bothSingular|
+                   "There are singularities at both end points")
+              (|:| |notEvaluated|
+                   "End point continuity not yet evaluated")))
+        (|:| |singularitiesStream|
+             (-3 (|:| |str| (-1150 (-225)))
+              (|:| |notEvaluated|
+                   "Internal singularities not yet evaluated")))
+        (|:| -1743
+             (-3 (|:| |finite| "The range is finite")
+              (|:| |lowerInfinite| "The bottom of range is infinite")
+              (|:| |upperInfinite| "The top of range is infinite")
+              (|:| |bothInfinite|
+                   "Both top and bottom points are infinite")
+              (|:| |notEvaluated| "Range not yet evaluated")))))
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 (((*1 *1 *2)
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 (((*1 *2 *3)
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+     (|:| |fail| "failed") (|:| |pole| "potentialPole")))
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 (((*1 *2 *3 *4 *4)
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+   (-5 *2
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+     (|:| |towers| (-641 (-1024 *5 *6 *7 *8)))))
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 (((*1 *2 *3)
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 (((*1 *2 *3)
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   (|partial| -12
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 (((*1 *2 *3)
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 (((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1094)) (-4 *2 (-897 *5)) (-5 *1 (-688 *5 *2 *3 *4))
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- ((*1 *2 *3 *4)
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    (-5 *2
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- ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-845) (-307) (-147) (-1019)))
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+(((*1 *1 *2)
+  (-12
    (-5 *2
-    (-641 (-2 (|:| -3924 (-1166 *4)) (|:| -3867 (-641 (-949 *4))))))
-   (-5 *1 (-1285 *4 *5 *6)) (-5 *3 (-641 (-949 *4)))
-   (-14 *5 (-641 (-1170))) (-14 *6 (-641 (-1170)))))) 
+    (-641
+     (-2
+      (|:| -2381
+           (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
+            (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
+            (|:| |relerr| (-225))))
+      (|:| -3096
+           (-2
+            (|:| |endPointContinuity|
+                 (-3 (|:| |continuous| "Continuous at the end points")
+                  (|:| |lowerSingular|
+                       "There is a singularity at the lower end point")
+                  (|:| |upperSingular|
+                       "There is a singularity at the upper end point")
+                  (|:| |bothSingular|
+                       "There are singularities at both end points")
+                  (|:| |notEvaluated|
+                       "End point continuity not yet evaluated")))
+            (|:| |singularitiesStream|
+                 (-3 (|:| |str| (-1150 (-225)))
+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -1743
+                 (-3 (|:| |finite| "The range is finite")
+                  (|:| |lowerInfinite|
+                       "The bottom of range is infinite")
+                  (|:| |upperInfinite| "The top of range is infinite")
+                  (|:| |bothInfinite|
+                       "Both top and bottom points are infinite")
+                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
+   (-5 *1 (-559))))) 
 (((*1 *2 *3)
-  (-12 (-5 *2 (-112)) (-5 *1 (-39 *3)) (-4 *3 (-1235 (-48)))))) 
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+(((*1 *2)
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+   (-5 *2 (-2 (|:| -2222 (-641 (-1170))) (|:| -1461 (-641 (-1170)))))
+   (-5 *1 (-1211))))) 
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-  (-12 (-5 *4 (-294 (-840 *3))) (-4 *3 (-13 (-27) (-1194) (-430 *5)))
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-    (-3 (-840 *3)
-     (-2 (|:| |leftHandLimit| (-3 (-840 *3) "failed"))
-      (|:| |rightHandLimit| (-3 (-840 *3) "failed")))
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- ((*1 *2 *3 *4 *5)
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-     "failed"))
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-  (-12 (-5 *3 (-1259 (-316 (-225))))
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+   (-4 *3 (-612 (-536)))))
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+(((*1 *2 *2)
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    (-5 *2
-    (-2 (|:| |additions| (-564)) (|:| |multiplications| (-564))
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+     (-247 *3 (-407 (-564)))))
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+  (-12 (-5 *1 (-594 *2)) (-4 *2 (-38 (-407 (-564)))) (-4 *2 (-1046))))) 
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 (((*1 *2 *1)
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+  (-12 (-4 *1 (-1097 *3 *4 *5 *6 *7)) (-4 *3 (-1094)) (-4 *4 (-1094))
+   (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-112))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-418 *3)) (-4 *3 (-556)) (-5 *1 (-419 *3))))) 
+(((*1 *2 *3 *4 *4 *3 *3 *5 *3 *4 *6 *7)
+  (-12 (-5 *4 (-564)) (-5 *5 (-685 (-225)))
+   (-5 *6 (-3 (|:| |fn| (-388)) (|:| |fp| (-89 G))))
+   (-5 *7 (-3 (|:| |fn| (-388)) (|:| |fp| (-86 FCN)))) (-5 *3 (-225))
+   (-5 *2 (-1032)) (-5 *1 (-746))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1209)) (-5 *1 (-375 *4 *2))
+   (-4 *2 (-13 (-373 *4) (-10 -7 (-6 -4413))))))) 
 (((*1 *2 *3)
   (-12
    (-5 *3
@@ -11614,109 +11813,13 @@
      (|:| |fn| (-1259 (-316 (-225)))) (|:| |yinit| (-641 (-225)))
      (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225)))
      (|:| |abserr| (-225)) (|:| |relerr| (-225))))
-   (-5 *2
-    (-2 (|:| |stiffnessFactor| (-379)) (|:| |stabilityFactor| (-379))))
-   (-5 *1 (-205))))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-641 (-1170))) (-5 *3 (-52)) (-5 *1 (-889 *4))
-   (-4 *4 (-1094))))) 
-(((*1 *2 *3 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-379)) (-5 *1 (-97))))) 
+   (-5 *2 (-379)) (-5 *1 (-205))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-363)) (-4 *3 (-1046))
+   (-5 *1 (-1154 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1 *5 *5 *5)) (-4 *5 (-1250 *4))
-   (-4 *4 (-38 (-407 (-564))))
-   (-5 *2 (-1 (-1150 *4) (-1150 *4) (-1150 *4))) (-5 *1 (-1252 *4 *5))))) 
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-   (-5 *2
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-     (|:| |nia|
-          (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
-           (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-           (|:| |relerr| (-225))))
-     (|:| |mdnia|
-          (-2 (|:| |fn| (-316 (-225)))
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-           (|:| |abserr| (-225)) (|:| |relerr| (-225))))))
-   (-5 *1 (-766))))
- ((*1 *2 *1)
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-   (-5 *2
-    (-2 (|:| |xinit| (-225)) (|:| |xend| (-225))
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-     (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225)))
-     (|:| |abserr| (-225)) (|:| |relerr| (-225))))
-   (-5 *1 (-805))))
- ((*1 *2 *1)
   (-12
-   (-5 *2
-    (-3
-     (|:| |noa|
-          (-2 (|:| |fn| (-316 (-225))) (|:| -3304 (-641 (-225)))
-           (|:| |lb| (-641 (-840 (-225))))
-           (|:| |cf| (-641 (-316 (-225))))
-           (|:| |ub| (-641 (-840 (-225))))))
-     (|:| |lsa|
-          (-2 (|:| |lfn| (-641 (-316 (-225))))
-           (|:| -3304 (-641 (-225)))))))
-   (-5 *1 (-838))))
- ((*1 *2 *1)
-  (-12
-   (-5 *2
+   (-5 *3
     (-2 (|:| |pde| (-641 (-316 (-225))))
      (|:| |constraints|
           (-641
@@ -11725,44 +11828,154 @@
             (|:| |dStart| (-685 (-225))) (|:| |dFinish| (-685 (-225))))))
      (|:| |f| (-641 (-641 (-316 (-225))))) (|:| |st| (-1152))
      (|:| |tol| (-225))))
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+   (-5 *2 (-112)) (-5 *1 (-210))))) 
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+ ((*1 *2 *3 *4)
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+   (-14 *5 *3)))
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+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
+     (|:| -1743 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
+     (|:| |relerr| (-225))))
+   (-5 *2
+    (-3 (|:| |continuous| "Continuous at the end points")
+     (|:| |lowerSingular|
+          "There is a singularity at the lower end point")
+     (|:| |upperSingular|
+          "There is a singularity at the upper end point")
+     (|:| |bothSingular| "There are singularities at both end points")
+     (|:| |notEvaluated| "End point continuity not yet evaluated")))
+   (-5 *1 (-192))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-859) (-859))) (-5 *1 (-114))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-859) (-641 (-859)))) (-5 *1 (-114))))
+ ((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-1 (-859) (-641 (-859)))) (-5 *1 (-114))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-1264)) (-5 *1 (-214 *3))
+   (-4 *3
+    (-13 (-847)
+     (-10 -8 (-15 -2961 ((-1152) $ (-1170))) (-15 -2170 (*2 $))
+      (-15 -2772 (*2 $)))))))
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+ ((*1 *2 *3 *4 *4 *2)
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+   (-5 *2
+    (-2 (|:| |particular| (-3 (-1259 (-407 *8)) "failed"))
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+   (-5 *2
+    (-2 (|:| |solns| (-641 *5))
+     (|:| |maps| (-641 (-2 (|:| |arg| *5) (|:| |res| *5))))))
+   (-5 *1 (-1122 *3 *5)) (-4 *3 (-1235 *5))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-1 (-940 *3) (-940 *3))) (-5 *1 (-176 *3))
+   (-4 *3 (-13 (-363) (-1194) (-999)))))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-1046)) (-4 *4 (-790)) (-4 *5 (-847)) (-5 *2 (-641 *1))
+   (-4 *1 (-1060 *3 *4 *5))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-404)) (-5 *2 (-564))))
+ ((*1 *2 *1) (-12 (-5 *2 (-564)) (-5 *1 (-695))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-1175))) (-5 *1 (-1175))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-506)) (-5 *3 (-641 (-1175))) (-5 *1 (-1175))))) 
 (((*1 *2 *3)
   (-12 (-4 *5 (-13 (-612 *2) (-172))) (-5 *2 (-889 *4))
    (-5 *1 (-170 *4 *5 *3)) (-4 *4 (-1094)) (-4 *3 (-166 *5))))
@@ -11795,9 +12008,9 @@
   (-12 (-5 *2 (-949 *3)) (-4 *3 (-1046)) (-4 *1 (-1060 *3 *4 *5))
    (-4 *5 (-612 (-1170))) (-4 *4 (-790)) (-4 *5 (-847))))
  ((*1 *1 *2)
-  (-4012
+  (-2713
    (-12 (-5 *2 (-949 (-564))) (-4 *1 (-1060 *3 *4 *5))
-    (-12 (-4253 (-4 *3 (-38 (-407 (-564))))) (-4 *3 (-38 (-564)))
+    (-12 (-2819 (-4 *3 (-38 (-407 (-564))))) (-4 *3 (-38 (-564)))
      (-4 *5 (-612 (-1170))))
     (-4 *3 (-1046)) (-4 *4 (-790)) (-4 *5 (-847)))
    (-12 (-5 *2 (-949 (-564))) (-4 *1 (-1060 *3 *4 *5))
@@ -11808,12 +12021,12 @@
    (-4 *3 (-38 (-407 (-564)))) (-4 *5 (-612 (-1170))) (-4 *3 (-1046))
    (-4 *4 (-790)) (-4 *5 (-847))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -4011 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3906 *8)))
    (-4 *7 (-1060 *4 *5 *6)) (-4 *8 (-1066 *4 *5 *6 *7)) (-4 *4 (-452))
    (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-1152))
    (-5 *1 (-1064 *4 *5 *6 *7 *8))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -4011 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3906 *8)))
    (-4 *7 (-1060 *4 *5 *6)) (-4 *8 (-1103 *4 *5 *6 *7)) (-4 *4 (-452))
    (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-1152))
    (-5 *1 (-1139 *4 *5 *6 *7 *8))))
@@ -11845,349 +12058,192 @@
    (-4 *4 (-13 (-845) (-307) (-147) (-1019))) (-14 *6 (-641 (-1170)))
    (-5 *2 (-641 (-777 *4 (-861 *6)))) (-5 *1 (-1285 *4 *5 *6))
    (-14 *5 (-641 (-1170)))))) 
-(((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1209))))
- ((*1 *1 *2 *1) (-12 (-5 *1 (-121 *2)) (-4 *2 (-847))))
- ((*1 *1 *2 *1) (-12 (-5 *1 (-126 *2)) (-4 *2 (-847))))
- ((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-564)) (-4 *1 (-282 *3)) (-4 *3 (-1209))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *3 (-564)) (-4 *1 (-282 *2)) (-4 *2 (-1209))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2
-     (|:| -1350
-          (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
-           (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-           (|:| |relerr| (-225))))
-     (|:| -2575
-          (-2
-           (|:| |endPointContinuity|
-                (-3 (|:| |continuous| "Continuous at the end points")
-                 (|:| |lowerSingular|
-                      "There is a singularity at the lower end point")
-                 (|:| |upperSingular|
-                      "There is a singularity at the upper end point")
-                 (|:| |bothSingular|
-                      "There are singularities at both end points")
-                 (|:| |notEvaluated|
-                      "End point continuity not yet evaluated")))
-           (|:| |singularitiesStream|
-                (-3 (|:| |str| (-1150 (-225)))
-                 (|:| |notEvaluated|
-                      "Internal singularities not yet evaluated")))
-           (|:| -4167
-                (-3 (|:| |finite| "The range is finite")
-                 (|:| |lowerInfinite|
-                      "The bottom of range is infinite")
-                 (|:| |upperInfinite| "The top of range is infinite")
-                 (|:| |bothInfinite|
-                      "Both top and bottom points are infinite")
-                 (|:| |notEvaluated| "Range not yet evaluated")))))))
-   (-5 *1 (-559))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *3 (-768)) (-4 *1 (-691 *2)) (-4 *2 (-1094))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2
-     (|:| -1350
-          (-2 (|:| |xinit| (-225)) (|:| |xend| (-225))
-           (|:| |fn| (-1259 (-316 (-225)))) (|:| |yinit| (-641 (-225)))
-           (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225)))
-           (|:| |abserr| (-225)) (|:| |relerr| (-225))))
-     (|:| -2575
-          (-2 (|:| |stiffness| (-379)) (|:| |stability| (-379))
-           (|:| |expense| (-379)) (|:| |accuracy| (-379))
-           (|:| |intermediateResults| (-379))))))
-   (-5 *1 (-800))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *2 (-1264)) (-5 *1 (-1186 *3 *4)) (-4 *3 (-1094))
-   (-4 *4 (-1094))))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-225)) (-5 *1 (-226))))
- ((*1 *2 *2 *2) (-12 (-5 *2 (-169 (-225))) (-5 *1 (-226))))
- ((*1 *2 *2 *2)
-  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-431 *3 *2))
-   (-4 *2 (-430 *3))))
- ((*1 *1 *1 *1) (-4 *1 (-1133)))) 
-(((*1 *2 *1) (-12 (-4 *1 (-404)) (-5 *2 (-564))))
- ((*1 *2 *1) (-12 (-5 *2 (-564)) (-5 *1 (-695))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1209)) (-5 *1 (-375 *4 *2))
-   (-4 *2 (-13 (-373 *4) (-10 -7 (-6 -4413))))))) 
-(((*1 *1) (-5 *1 (-291)))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1046))
+   (-4 *2 (-13 (-404) (-1035 *4) (-363) (-1194) (-284)))
+   (-5 *1 (-443 *4 *3 *2)) (-4 *3 (-1235 *4))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-171))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1264)) (-5 *1 (-1260))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1264)) (-5 *1 (-1261))))) 
 (((*1 *2 *1 *1)
-  (-12 (-4 *3 (-556)) (-4 *3 (-1046))
-   (-5 *2 (-2 (|:| -3031 *1) (|:| -2550 *1))) (-4 *1 (-849 *3))))
- ((*1 *2 *3 *3 *4)
-  (-12 (-5 *4 (-99 *5)) (-4 *5 (-556)) (-4 *5 (-1046))
-   (-5 *2 (-2 (|:| -3031 *3) (|:| -2550 *3))) (-5 *1 (-850 *5 *3))
-   (-4 *3 (-849 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-821))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-918)) (-4 *1 (-238 *3 *4)) (-4 *4 (-1046))
-   (-4 *4 (-1209))))
- ((*1 *1 *2)
-  (-12 (-14 *3 (-641 (-1170))) (-4 *4 (-172))
-   (-4 *5 (-238 (-2779 *3) (-768)))
-   (-14 *6
-    (-1 (-112) (-2 (|:| -3338 *2) (|:| -3078 *5))
-     (-2 (|:| -3338 *2) (|:| -3078 *5))))
-   (-5 *1 (-461 *3 *4 *2 *5 *6 *7)) (-4 *2 (-847))
-   (-4 *7 (-946 *4 *5 (-861 *3)))))
- ((*1 *2 *2) (-12 (-5 *2 (-940 (-225))) (-5 *1 (-1205))))) 
-(((*1 *1 *2 *2)
   (-12
    (-5 *2
-    (-3 (|:| I (-316 (-564))) (|:| -3438 (-316 (-379)))
-     (|:| CF (-316 (-169 (-379)))) (|:| |switch| (-1169))))
-   (-5 *1 (-1169))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1170))
-   (-4 *4 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
-   (-5 *1 (-801 *4 *2)) (-4 *2 (-13 (-29 *4) (-1194) (-956)))))) 
-(((*1 *2 *1 *3)
-  (-12 (-4 *1 (-857)) (-5 *2 (-687 (-1217))) (-5 *3 (-1217))))) 
-(((*1 *1 *1 *2 *1) (-12 (-4 *1 (-125 *2)) (-4 *2 (-1094))))) 
-(((*1 *2 *2 *3 *3 *4)
-  (-12 (-5 *4 (-768)) (-4 *3 (-556)) (-5 *1 (-966 *3 *2))
-   (-4 *2 (-1235 *3))))) 
+    (-2 (|:| -3378 *3) (|:| |coef1| (-779 *3)) (|:| |coef2| (-779 *3))))
+   (-5 *1 (-779 *3)) (-4 *3 (-556)) (-4 *3 (-1046))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-641 *3)) (-4 *3 (-946 *5 *6 *7)) (-4 *5 (-452))
+   (-4 *6 (-790)) (-4 *7 (-847))
+   (-5 *2 (-2 (|:| |poly| *3) (|:| |mult| *5)))
+   (-5 *1 (-449 *5 *6 *7 *3))))) 
 (((*1 *1 *1)
-  (-12 (-5 *1 (-223 *2 *3)) (-4 *2 (-13 (-1046) (-847)))
-   (-14 *3 (-641 (-1170)))))) 
-(((*1 *1 *1 *2)
-  (|partial| -12 (-4 *1 (-1202 *3 *4 *5 *2)) (-4 *3 (-556))
-      (-4 *4 (-790)) (-4 *5 (-847)) (-4 *2 (-1060 *3 *4 *5))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1066 *4 *5 *6 *3)) (-4 *4 (-452)) (-4 *5 (-790))
-   (-4 *6 (-847)) (-4 *3 (-1060 *4 *5 *6)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1150 (-641 (-564)))) (-5 *1 (-880)) (-5 *3 (-564))))) 
-(((*1 *2 *3 *4 *3 *3 *3 *3 *4 *3)
-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-169 (-225)))) (-5 *2 (-1032))
-   (-5 *1 (-753))))) 
-(((*1 *2 *3 *4 *4 *3 *5 *3 *6 *4 *7 *8 *9)
-  (-12 (-5 *4 (-564)) (-5 *5 (-1152)) (-5 *6 (-685 (-225)))
-   (-5 *7 (-3 (|:| |fn| (-388)) (|:| |fp| (-89 G))))
-   (-5 *8 (-3 (|:| |fn| (-388)) (|:| |fp| (-86 FCN))))
-   (-5 *9 (-3 (|:| |fn| (-388)) (|:| |fp| (-88 OUTPUT))))
-   (-5 *3 (-225)) (-5 *2 (-1032)) (-5 *1 (-746))))) 
-(((*1 *1 *2 *2)
-  (-12
-   (-5 *2
-    (-3 (|:| I (-316 (-564))) (|:| -3438 (-316 (-379)))
-     (|:| CF (-316 (-169 (-379)))) (|:| |switch| (-1169))))
-   (-5 *1 (-1169))))) 
+  (-12 (-5 *1 (-594 *2)) (-4 *2 (-38 (-407 (-564)))) (-4 *2 (-1046))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *4 (-685 (-407 (-949 (-564)))))
-   (-5 *2 (-641 (-685 (-316 (-564))))) (-5 *1 (-1028))
-   (-5 *3 (-316 (-564)))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-112)) (-5 *1 (-826))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1170)) (-5 *2 (-1 *6 *5)) (-5 *1 (-703 *4 *5 *6))
-   (-4 *4 (-612 (-536))) (-4 *5 (-1209)) (-4 *6 (-1209))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1170)) (-4 *4 (-556)) (-4 *4 (-847))
-   (-5 *1 (-573 *4 *2)) (-4 *2 (-430 *4))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1150 *3)) (-5 *1 (-174 *3)) (-4 *3 (-307))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-491)) (-5 *2 (-687 (-579))) (-5 *1 (-579))))) 
-(((*1 *1) (-5 *1 (-468)))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-1088 *3)) (-5 *1 (-1086 *3)) (-4 *3 (-1209))))
- ((*1 *1 *2 *2) (-12 (-4 *1 (-1087 *2)) (-4 *2 (-1209))))
- ((*1 *1 *2) (-12 (-5 *1 (-1226 *2)) (-4 *2 (-1209))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-367 *2)) (-4 *2 (-172))))) 
-(((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225)))
-     (|:| -4167 (-1088 (-840 (-225)))) (|:| |abserr| (-225))
-     (|:| |relerr| (-225))))
-   (-5 *2
-    (-3 (|:| |finite| "The range is finite")
-     (|:| |lowerInfinite| "The bottom of range is infinite")
-     (|:| |upperInfinite| "The top of range is infinite")
-     (|:| |bothInfinite| "Both top and bottom points are infinite")
-     (|:| |notEvaluated| "Range not yet evaluated")))
-   (-5 *1 (-192))))) 
-(((*1 *2) (-12 (-5 *2 (-1264)) (-5 *1 (-756))))) 
-(((*1 *2 *3 *4 *4)
-  (-12 (-5 *3 (-1170)) (-5 *4 (-949 (-564))) (-5 *2 (-330))
-   (-5 *1 (-332))))
- ((*1 *2 *3 *4 *4)
-  (-12 (-5 *3 (-1170)) (-5 *4 (-1086 (-949 (-564)))) (-5 *2 (-330))
-   (-5 *1 (-332))))
- ((*1 *1 *2 *2 *2)
-  (-12 (-5 *2 (-768)) (-5 *1 (-671 *3)) (-4 *3 (-1046))
-   (-4 *3 (-1094))))) 
-(((*1 *1 *2 *2)
-  (-12
-   (-5 *2
-    (-3 (|:| I (-316 (-564))) (|:| -3438 (-316 (-379)))
-     (|:| CF (-316 (-169 (-379)))) (|:| |switch| (-1169))))
-   (-5 *1 (-1169))))) 
-(((*1 *2 *1)
-  (-12 (-4 *3 (-363)) (-4 *4 (-790)) (-4 *5 (-847)) (-5 *2 (-112))
-   (-5 *1 (-504 *3 *4 *5 *6)) (-4 *6 (-946 *3 *4 *5))))
- ((*1 *2 *1) (-12 (-4 *1 (-719)) (-5 *2 (-112))))
- ((*1 *2 *1) (-12 (-4 *1 (-723)) (-5 *2 (-112))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-1213)) (-4 *4 (-1235 *3)) (-4 *5 (-1235 (-407 *4)))
-   (-5 *2 (-1259 *1)) (-4 *1 (-342 *3 *4 *5))))
- ((*1 *2)
-  (-12 (-4 *3 (-13 (-307) (-10 -8 (-15 -1592 ((-418 $) $)))))
-   (-4 *4 (-1235 *3))
-   (-5 *2
-    (-2 (|:| -4339 (-685 *3)) (|:| |basisDen| *3)
-     (|:| |basisInv| (-685 *3))))
-   (-5 *1 (-350 *3 *4 *5)) (-4 *5 (-409 *3 *4))))
- ((*1 *2)
-  (-12 (-4 *3 (-1235 (-564)))
-   (-5 *2
-    (-2 (|:| -4339 (-685 (-564))) (|:| |basisDen| (-564))
-     (|:| |basisInv| (-685 (-564)))))
-   (-5 *1 (-765 *3 *4)) (-4 *4 (-409 (-564) *3))))
- ((*1 *2)
-  (-12 (-4 *3 (-349)) (-4 *4 (-1235 *3)) (-4 *5 (-1235 *4))
-   (-5 *2
-    (-2 (|:| -4339 (-685 *4)) (|:| |basisDen| *4)
-     (|:| |basisInv| (-685 *4))))
-   (-5 *1 (-982 *3 *4 *5 *6)) (-4 *6 (-721 *4 *5))))
- ((*1 *2)
-  (-12 (-4 *3 (-349)) (-4 *4 (-1235 *3)) (-4 *5 (-1235 *4))
-   (-5 *2
-    (-2 (|:| -4339 (-685 *4)) (|:| |basisDen| *4)
-     (|:| |basisInv| (-685 *4))))
-   (-5 *1 (-1268 *3 *4 *5 *6)) (-4 *6 (-409 *4 *5))))) 
-(((*1 *2 *3 *1)
-  (-12 (|has| *1 (-6 -4412)) (-4 *1 (-602 *4 *3)) (-4 *4 (-1094))
-   (-4 *3 (-1209)) (-4 *3 (-1094)) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-641 (-940 (-225)))) (-5 *1 (-1260))))) 
-(((*1 *2 *3 *4 *5 *4)
-  (-12 (-5 *3 (-685 (-225))) (-5 *4 (-564)) (-5 *5 (-112))
-   (-5 *2 (-1032)) (-5 *1 (-742))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1264)) (-5 *1 (-859))))
- ((*1 *2 *3) (-12 (-5 *3 (-859)) (-5 *2 (-1264)) (-5 *1 (-959))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-911 *3)) (-4 *3 (-307))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-641 *2)) (-4 *2 (-946 *4 *5 *6)) (-4 *4 (-363))
-   (-4 *4 (-452)) (-4 *5 (-790)) (-4 *6 (-847))
-   (-5 *1 (-450 *4 *5 *6 *2))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-99 *6)) (-5 *5 (-1 *6 *6)) (-4 *6 (-363))
+  (-12 (-4 *5 (-307)) (-4 *6 (-373 *5)) (-4 *4 (-373 *5))
    (-5 *2
-    (-2 (|:| R (-685 *6)) (|:| A (-685 *6)) (|:| |Ainv| (-685 *6))))
-   (-5 *1 (-975 *6)) (-5 *3 (-685 *6))))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-480))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-649 (-407 *2))) (-4 *2 (-1235 *4)) (-5 *1 (-807 *4 *2))
-   (-4 *4 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-650 *2 (-407 *2))) (-4 *2 (-1235 *4))
-   (-5 *1 (-807 *4 *2))
-   (-4 *4 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-556) (-847) (-1035 (-564)))) (-5 *2 (-112))
-   (-5 *1 (-188 *4 *3)) (-4 *3 (-13 (-27) (-1194) (-430 (-169 *4))))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-434))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
-   (-5 *2 (-112)) (-5 *1 (-1198 *4 *3))
-   (-4 *3 (-13 (-27) (-1194) (-430 *4)))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1235 *3)) (-4 *3 (-1046)) (-5 *2 (-1166 *3))))) 
+    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -2745 (-641 *4))))
+   (-5 *1 (-1118 *5 *6 *4 *3)) (-4 *3 (-683 *5 *6 *4))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-556)) (-4 *5 (-989 *4))
-   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-142 *4 *5 *3))
-   (-4 *3 (-373 *5))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-556)) (-4 *5 (-989 *4))
-   (-5 *2 (-2 (|:| |num| *6) (|:| |den| *4)))
-   (-5 *1 (-503 *4 *5 *6 *3)) (-4 *6 (-373 *4)) (-4 *3 (-373 *5))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-685 *5)) (-4 *5 (-989 *4)) (-4 *4 (-556))
-   (-5 *2 (-2 (|:| |num| (-685 *4)) (|:| |den| *4)))
-   (-5 *1 (-689 *4 *5))))
+  (-12 (-4 *4 (-13 (-363) (-147) (-1035 (-407 (-564)))))
+   (-4 *5 (-1235 *4)) (-5 *2 (-641 (-2 (|:| -1526 *5) (|:| -3962 *5))))
+   (-5 *1 (-804 *4 *5 *3 *6)) (-4 *3 (-652 *5))
+   (-4 *6 (-652 (-407 *5)))))
  ((*1 *2 *3 *4)
   (-12 (-4 *5 (-13 (-363) (-147) (-1035 (-407 (-564)))))
-   (-4 *6 (-1235 *5))
-   (-5 *2 (-2 (|:| -4035 *7) (|:| |rh| (-641 (-407 *6)))))
-   (-5 *1 (-804 *5 *6 *7 *3)) (-5 *4 (-641 (-407 *6)))
-   (-4 *7 (-652 *6)) (-4 *3 (-652 (-407 *6)))))
+   (-4 *4 (-1235 *5)) (-5 *2 (-641 (-2 (|:| -1526 *4) (|:| -3962 *4))))
+   (-5 *1 (-804 *5 *4 *3 *6)) (-4 *3 (-652 *4))
+   (-4 *6 (-652 (-407 *4)))))
  ((*1 *2 *3)
-  (-12 (-4 *4 (-556)) (-4 *5 (-989 *4))
-   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1228 *4 *5 *3))
-   (-4 *3 (-1235 *5))))) 
-(((*1 *1 *2 *2)
-  (-12
+  (-12 (-4 *4 (-13 (-363) (-147) (-1035 (-407 (-564)))))
+   (-4 *5 (-1235 *4)) (-5 *2 (-641 (-2 (|:| -1526 *5) (|:| -3962 *5))))
+   (-5 *1 (-804 *4 *5 *6 *3)) (-4 *6 (-652 *5))
+   (-4 *3 (-652 (-407 *5)))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-13 (-363) (-147) (-1035 (-407 (-564)))))
+   (-4 *4 (-1235 *5)) (-5 *2 (-641 (-2 (|:| -1526 *4) (|:| -3962 *4))))
+   (-5 *1 (-804 *5 *4 *6 *3)) (-4 *6 (-652 *4))
+   (-4 *3 (-652 (-407 *4)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-649 (-407 *6))) (-5 *4 (-407 *6)) (-4 *6 (-1235 *5))
+   (-4 *5 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))
    (-5 *2
-    (-3 (|:| I (-316 (-564))) (|:| -3438 (-316 (-379)))
-     (|:| CF (-316 (-169 (-379)))) (|:| |switch| (-1169))))
-   (-5 *1 (-1169))))) 
-(((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-949 *4)) (-4 *4 (-1046)) (-4 *4 (-612 *2))
-      (-5 *2 (-379)) (-5 *1 (-782 *4))))
+    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -2745 (-641 *4))))
+   (-5 *1 (-807 *5 *6))))
  ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-949 *5)) (-5 *4 (-918)) (-4 *5 (-1046))
-      (-4 *5 (-612 *2)) (-5 *2 (-379)) (-5 *1 (-782 *5))))
- ((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-407 (-949 *4))) (-4 *4 (-556))
-      (-4 *4 (-612 *2)) (-5 *2 (-379)) (-5 *1 (-782 *4))))
+  (-12 (-5 *3 (-649 (-407 *6))) (-4 *6 (-1235 *5))
+   (-4 *5 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))
+   (-5 *2 (-2 (|:| -2745 (-641 (-407 *6))) (|:| -1315 (-685 *5))))
+   (-5 *1 (-807 *5 *6)) (-5 *4 (-641 (-407 *6)))))
  ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-407 (-949 *5))) (-5 *4 (-918)) (-4 *5 (-556))
-      (-4 *5 (-612 *2)) (-5 *2 (-379)) (-5 *1 (-782 *5))))
- ((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-316 *4)) (-4 *4 (-556)) (-4 *4 (-847))
-      (-4 *4 (-612 *2)) (-5 *2 (-379)) (-5 *1 (-782 *4))))
+  (-12 (-5 *3 (-650 *6 (-407 *6))) (-5 *4 (-407 *6)) (-4 *6 (-1235 *5))
+   (-4 *5 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))
+   (-5 *2
+    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -2745 (-641 *4))))
+   (-5 *1 (-807 *5 *6))))
  ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-316 *5)) (-5 *4 (-918)) (-4 *5 (-556))
-      (-4 *5 (-847)) (-4 *5 (-612 *2)) (-5 *2 (-379))
-      (-5 *1 (-782 *5))))) 
+  (-12 (-5 *3 (-650 *6 (-407 *6))) (-4 *6 (-1235 *5))
+   (-4 *5 (-13 (-363) (-147) (-1035 (-564)) (-1035 (-407 (-564)))))
+   (-5 *2 (-2 (|:| -2745 (-641 (-407 *6))) (|:| -1315 (-685 *5))))
+   (-5 *1 (-807 *5 *6)) (-5 *4 (-641 (-407 *6)))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1257 *3)) (-4 *3 (-1209)) (-4 *3 (-1046))
+   (-5 *2 (-685 *3))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-641 (-641 *3))) (-4 *3 (-1094)) (-4 *1 (-900 *3))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1170))
+   (-4 *5 (-13 (-307) (-847) (-147) (-1035 (-564)) (-637 (-564))))
+   (-5 *2 (-585 *3)) (-5 *1 (-426 *5 *3))
+   (-4 *3 (-13 (-1194) (-29 *5)))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-172)) (-5 *2 (-112)) (-5 *1 (-366 *3 *4))
+   (-4 *3 (-367 *4))))
+ ((*1 *2) (-12 (-4 *1 (-367 *3)) (-4 *3 (-172)) (-5 *2 (-112))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-641 *3)) (-4 *3 (-1094)) (-4 *1 (-900 *3))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-144))))) 
+(((*1 *2 *3 *2 *4)
+  (-12 (-5 *3 (-685 *2)) (-5 *4 (-768))
+   (-4 *2 (-13 (-307) (-10 -8 (-15 -1798 ((-418 $) $)))))
+   (-4 *5 (-1235 *2)) (-5 *1 (-499 *2 *5 *6)) (-4 *6 (-409 *2 *5))))) 
+(((*1 *2 *3)
+  (-12 (|has| *6 (-6 -4413)) (-4 *4 (-363)) (-4 *5 (-373 *4))
+   (-4 *6 (-373 *4)) (-5 *2 (-641 *6)) (-5 *1 (-521 *4 *5 *6 *3))
+   (-4 *3 (-683 *4 *5 *6))))
+ ((*1 *2 *3)
+  (-12 (|has| *9 (-6 -4413)) (-4 *4 (-556)) (-4 *5 (-373 *4))
+   (-4 *6 (-373 *4)) (-4 *7 (-989 *4)) (-4 *8 (-373 *7))
+   (-4 *9 (-373 *7)) (-5 *2 (-641 *6))
+   (-5 *1 (-522 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-683 *4 *5 *6))
+   (-4 *10 (-683 *7 *8 *9))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-683 *3 *4 *5)) (-4 *3 (-1046)) (-4 *4 (-373 *3))
+   (-4 *5 (-373 *3)) (-4 *3 (-556)) (-5 *2 (-641 *5))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-556)) (-4 *4 (-172)) (-4 *5 (-373 *4))
+   (-4 *6 (-373 *4)) (-5 *2 (-641 *6)) (-5 *1 (-684 *4 *5 *6 *3))
+   (-4 *3 (-683 *4 *5 *6))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1049 *3 *4 *5 *6 *7)) (-4 *5 (-1046))
+   (-4 *6 (-238 *4 *5)) (-4 *7 (-238 *3 *5)) (-4 *5 (-556))
+   (-5 *2 (-641 *7))))) 
+(((*1 *2 *3 *3 *3)
+  (|partial| -12
+      (-4 *4 (-13 (-147) (-27) (-1035 (-564)) (-1035 (-407 (-564)))))
+      (-4 *5 (-1235 *4)) (-5 *2 (-1166 (-407 *5))) (-5 *1 (-613 *4 *5))
+      (-5 *3 (-407 *5))))
+ ((*1 *2 *3 *3 *3 *4)
+  (|partial| -12 (-5 *4 (-1 (-418 *6) *6)) (-4 *6 (-1235 *5))
+      (-4 *5 (-13 (-147) (-27) (-1035 (-564)) (-1035 (-407 (-564)))))
+      (-5 *2 (-1166 (-407 *6))) (-5 *1 (-613 *5 *6)) (-5 *3 (-407 *6))))) 
 (((*1 *2 *2 *3)
-  (|partial| -12 (-5 *3 (-1170))
-      (-4 *4 (-13 (-452) (-847) (-147) (-1035 (-564)) (-637 (-564))))
-      (-5 *1 (-557 *4 *2)) (-4 *2 (-13 (-27) (-1194) (-430 *4)))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-407 (-949 *3))) (-5 *1 (-453 *3 *4 *5 *6))
-   (-4 *3 (-556)) (-4 *3 (-172)) (-14 *4 (-918))
-   (-14 *5 (-641 (-1170))) (-14 *6 (-1259 (-685 *3)))))) 
+  (|partial| -12 (-5 *3 (-768)) (-5 *1 (-586 *2)) (-4 *2 (-545))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-2 (|:| -1540 *3) (|:| -2954 (-768)))) (-5 *1 (-586 *3))
+   (-4 *3 (-545))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-924))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-52)) (-5 *1 (-1187))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1259 (-685 *4))) (-4 *4 (-172))
-   (-5 *2 (-1259 (-685 (-949 *4)))) (-5 *1 (-189 *4))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-112) (-114) (-114))) (-5 *1 (-114))))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-379)) (-5 *1 (-205))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-641 (-379))) (-5 *2 (-379)) (-5 *1 (-205))))) 
-(((*1 *2 *2 *2)
-  (-12 (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1252 *3 *2))
-   (-4 *2 (-1250 *3))))) 
-(((*1 *2 *2 *2)
-  (-12 (-5 *2 (-641 *6)) (-4 *6 (-1060 *3 *4 *5)) (-4 *3 (-452))
-   (-4 *3 (-556)) (-4 *4 (-790)) (-4 *5 (-847))
-   (-5 *1 (-974 *3 *4 *5 *6))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1264)) (-5 *1 (-819))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
-   (-5 *1 (-420 *3 *2 *4 *5)) (-4 *2 (-13 (-27) (-1194) (-430 *3)))
-   (-14 *4 (-1170)) (-14 *5 *2)))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
-   (-4 *2 (-13 (-27) (-1194) (-430 *3) (-10 -8 (-15 -3714 ($ *4)))))
-   (-4 *4 (-845))
-   (-4 *5
-    (-13 (-1237 *2 *4) (-363) (-1194)
-     (-10 -8 (-15 -2203 ($ $)) (-15 -4039 ($ $)))))
-   (-5 *1 (-422 *3 *2 *4 *5 *6 *7)) (-4 *6 (-980 *5)) (-14 *7 (-1170))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-641 (-1152))) (-5 *1 (-397))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-768)) (-4 *4 (-1046))
-   (-5 *2 (-2 (|:| -3031 *1) (|:| -2550 *1))) (-4 *1 (-1235 *4))))) 
+  (-12 (-5 *3 (-1 *5 *5)) (-4 *1 (-342 *4 *5 *6)) (-4 *4 (-1213))
+   (-4 *5 (-1235 *4)) (-4 *6 (-1235 (-407 *5)))
+   (-5 *2 (-2 (|:| |num| (-685 *5)) (|:| |den| *5)))))) 
+(((*1 *1 *2 *2 *2 *2) (-12 (-4 *1 (-994 *2)) (-4 *2 (-172))))) 
+(((*1 *1 *2 *2) (-12 (-4 *1 (-554 *2)) (-4 *2 (-13 (-404) (-1194)))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-973 *3 *4 *5 *6)) (-4 *3 (-1046)) (-4 *4 (-790))
+   (-4 *5 (-847)) (-4 *6 (-1060 *3 *4 *5)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5)
+  (-12 (-5 *3 (-225)) (-5 *4 (-564))
+   (-5 *5 (-3 (|:| |fn| (-388)) (|:| |fp| (-64 G)))) (-5 *2 (-1032))
+   (-5 *1 (-745))))) 
+(((*1 *1) (-5 *1 (-141)))) 
+(((*1 *2 *1) (-12 (-4 *1 (-764 *3)) (-4 *3 (-1094)) (-5 *2 (-112))))) 
+(((*1 *1 *1 *2) (-12 (-4 *1 (-1092 *2)) (-4 *2 (-1094))))
+ ((*1 *1 *1 *1) (-12 (-4 *1 (-1092 *2)) (-4 *2 (-1094))))) 
+(((*1 *1) (-5 *1 (-291)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1152)) (-5 *1 (-819))))) 
+(((*1 *2 *2 *2 *3 *3)
+  (-12 (-5 *3 (-768)) (-4 *4 (-1046)) (-5 *1 (-1231 *4 *2))
+   (-4 *2 (-1235 *4))))) 
+(((*1 *2)
+  (|partial| -12 (-4 *3 (-556)) (-4 *3 (-172))
+      (-5 *2 (-2 (|:| |particular| *1) (|:| -2745 (-641 *1))))
+      (-4 *1 (-367 *3))))
+ ((*1 *2)
+  (|partial| -12
+      (-5 *2
+       (-2 (|:| |particular| (-453 *3 *4 *5 *6))
+        (|:| -2745 (-641 (-453 *3 *4 *5 *6)))))
+      (-5 *1 (-453 *3 *4 *5 *6)) (-4 *3 (-172)) (-14 *4 (-918))
+      (-14 *5 (-641 (-1170))) (-14 *6 (-1259 (-685 *3)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-407 (-949 (-169 (-564))))) (-5 *2 (-641 (-169 *4)))
+   (-5 *1 (-378 *4)) (-4 *4 (-13 (-363) (-845)))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-641 (-407 (-949 (-169 (-564))))))
+   (-5 *4 (-641 (-1170))) (-5 *2 (-641 (-641 (-169 *5))))
+   (-5 *1 (-378 *5)) (-4 *5 (-13 (-363) (-845)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-452)) (-4 *6 (-790)) (-4 *7 (-847))
+   (-4 *3 (-1060 *5 *6 *7))
+   (-5 *2 (-641 (-2 (|:| |val| (-112)) (|:| -3906 *4))))
+   (-5 *1 (-1102 *5 *6 *7 *3 *4)) (-4 *4 (-1066 *5 *6 *7 *3))))) 
+(((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-123)))) 
+(((*1 *1) (-4 *1 (-349)))) 
 (((*1 *2 *3 *2)
-  (-12 (-5 *2 (-641 (-1088 (-379)))) (-5 *3 (-641 (-263)))
-   (-5 *1 (-261))))
- ((*1 *1 *2) (-12 (-5 *2 (-641 (-1088 (-379)))) (-5 *1 (-263))))
- ((*1 *2 *1 *2) (-12 (-5 *2 (-641 (-1088 (-379)))) (-5 *1 (-468))))
- ((*1 *2 *1) (-12 (-5 *2 (-641 (-1088 (-379)))) (-5 *1 (-468))))) 
+  (-12 (-5 *2 (-871)) (-5 *3 (-641 (-263))) (-5 *1 (-261))))) 
+(((*1 *2)
+  (-12 (-4 *1 (-342 *3 *4 *5)) (-4 *3 (-1213)) (-4 *4 (-1235 *3))
+   (-4 *5 (-1235 (-407 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1152)) (-5 *1 (-1190))))
+ ((*1 *2 *1 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-1190))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-564)) (-4 *1 (-57 *4 *3 *5)) (-4 *4 (-1209))
+   (-4 *3 (-373 *4)) (-4 *5 (-373 *4))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-316 (-225))) (-5 *2 (-316 (-407 (-564))))
+   (-5 *1 (-305))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-407 (-564))) (-5 *4 (-564)) (-5 *2 (-52))
+   (-5 *1 (-1002))))) 
 (((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-47 *3 *4)) (-4 *3 (-1046))
    (-4 *4 (-789))))
@@ -12295,9 +12351,9 @@
    (-4 *6 (-363)) (-5 *2 (-585 *6)) (-5 *1 (-584 *5 *6))))
  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-1 *6 *5))
-      (-5 *4 (-3 (-2 (|:| -2537 *5) (|:| |coeff| *5)) "failed"))
+      (-5 *4 (-3 (-2 (|:| -3526 *5) (|:| |coeff| *5)) "failed"))
       (-4 *5 (-363)) (-4 *6 (-363))
-      (-5 *2 (-2 (|:| -2537 *6) (|:| |coeff| *6)))
+      (-5 *2 (-2 (|:| -3526 *6) (|:| |coeff| *6)))
       (-5 *1 (-584 *5 *6))))
  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed"))
@@ -12416,7 +12472,7 @@
    (-4 *8 (-1046)) (-4 *6 (-790))
    (-4 *2
     (-13 (-1094)
-     (-10 -8 (-15 -1814 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-768))))))
+     (-10 -8 (-15 -2956 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-768))))))
    (-5 *1 (-948 *6 *7 *8 *5 *2)) (-4 *5 (-946 *8 *6 *7))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-955 *5)) (-4 *5 (-1209))
@@ -12429,8 +12485,8 @@
    (-4 *2 (-946 (-949 *4) *5 *6)) (-4 *5 (-790))
    (-4 *6
     (-13 (-847)
-     (-10 -8 (-15 -2374 ((-1170) $))
-      (-15 -3832 ((-3 $ "failed") (-1170))))))
+     (-10 -8 (-15 -2153 ((-1170) $))
+      (-15 -2794 ((-3 $ "failed") (-1170))))))
    (-5 *1 (-981 *4 *5 *6 *2))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-556)) (-4 *6 (-556))
@@ -12517,43 +12573,43 @@
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1046)) (-5 *1 (-1282 *3 *4))
    (-4 *4 (-843))))) 
-(((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-323 *3 *4)) (-4 *3 (-1094))
-   (-4 *4 (-131))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-361 *3))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-386 *3))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1094)) (-5 *1 (-645 *3 *4 *5))
-   (-4 *4 (-23)) (-14 *5 *4)))) 
-(((*1 *2 *3 *4 *4 *2 *2 *2 *2)
-  (-12 (-5 *2 (-564))
-   (-5 *3
-    (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-768)) (|:| |poli| *4)
-     (|:| |polj| *4)))
-   (-4 *6 (-790)) (-4 *4 (-946 *5 *6 *7)) (-4 *5 (-452)) (-4 *7 (-847))
-   (-5 *1 (-449 *5 *6 *7 *4))))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-564)) (-4 *1 (-57 *4 *3 *5)) (-4 *4 (-1209))
-   (-4 *3 (-373 *4)) (-4 *5 (-373 *4))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1278 *3)) (-4 *3 (-363)) (-5 *2 (-112))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-685 (-169 (-407 (-564)))))
-   (-5 *2
-    (-641
-     (-2 (|:| |outval| (-169 *4)) (|:| |outmult| (-564))
-      (|:| |outvect| (-641 (-685 (-169 *4)))))))
-   (-5 *1 (-761 *4)) (-4 *4 (-13 (-363) (-845)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-889 *3)) (-4 *3 (-1094))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1097 *3 *4 *5 *6 *7)) (-4 *3 (-1094)) (-4 *4 (-1094))
-   (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-112))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-4 *1 (-1221 *3 *2)) (-4 *3 (-1046))
+      (-4 *2 (-1250 *3))))) 
+(((*1 *2 *3 *4 *3)
+  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
+   (-5 *1 (-744))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1 (-112) *6)) (-4 *6 (-13 (-1094) (-1035 *5)))
-   (-4 *5 (-883 *4)) (-4 *4 (-1094)) (-5 *2 (-1 (-112) *5))
-   (-5 *1 (-928 *4 *5 *6))))) 
-(((*1 *2 *2)
+  (-12 (-5 *3 (-1259 *4)) (-4 *4 (-349)) (-5 *2 (-1166 *4))
+   (-5 *1 (-528 *4))))) 
+(((*1 *2 *3 *2)
+  (|partial| -12 (-5 *3 (-918)) (-5 *1 (-442 *2))
+      (-4 *2 (-1235 (-564)))))
+ ((*1 *2 *3 *2 *4)
+  (|partial| -12 (-5 *3 (-918)) (-5 *4 (-768)) (-5 *1 (-442 *2))
+      (-4 *2 (-1235 (-564)))))
+ ((*1 *2 *3 *2 *4)
+  (|partial| -12 (-5 *3 (-918)) (-5 *4 (-641 (-768))) (-5 *1 (-442 *2))
+      (-4 *2 (-1235 (-564)))))
+ ((*1 *2 *3 *2 *4 *5)
+  (|partial| -12 (-5 *3 (-918)) (-5 *4 (-641 (-768))) (-5 *5 (-768))
+      (-5 *1 (-442 *2)) (-4 *2 (-1235 (-564)))))
+ ((*1 *2 *3 *2 *4 *5 *6)
+  (|partial| -12 (-5 *3 (-918)) (-5 *4 (-641 (-768))) (-5 *5 (-768))
+      (-5 *6 (-112)) (-5 *1 (-442 *2)) (-4 *2 (-1235 (-564)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-918)) (-5 *4 (-418 *2)) (-4 *2 (-1235 *5))
+   (-5 *1 (-444 *5 *2)) (-4 *5 (-1046))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-768)) (-5 *1 (-889 *3)) (-4 *3 (-1094))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1115 *3)) (-4 *3 (-1209)) (-5 *2 (-768))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-1094)) (-4 *3 (-897 *5)) (-5 *2 (-1259 *3))
+   (-5 *1 (-688 *5 *3 *6 *4)) (-4 *6 (-373 *3))
+   (-4 *4 (-13 (-373 *5) (-10 -7 (-6 -4412))))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-641 (-564))) (-5 *1 (-50 *3 *4)) (-4 *3 (-1046))
+   (-14 *4 (-641 (-1170)))))
+ ((*1 *2 *2)
   (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
    (-4 *2 (-13 (-430 *3) (-999)))))
  ((*1 *2 *2)
@@ -12563,16 +12619,13 @@
   (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1219 *3))
    (-5 *1 (-279 *3 *4 *2 *5)) (-4 *2 (-1242 *3 *4)) (-4 *5 (-980 *4))))
  ((*1 *1 *1) (-4 *1 (-284)))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-418 *4)) (-4 *4 (-556))
-   (-5 *2 (-641 (-2 (|:| -1817 (-768)) (|:| |logand| *4))))
-   (-5 *1 (-320 *4))))
  ((*1 *1 *1)
   (-12 (-5 *1 (-339 *2 *3 *4)) (-14 *2 (-641 (-1170)))
    (-14 *3 (-641 (-1170))) (-4 *4 (-387))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-660 *3 *4)) (-5 *1 (-625 *3 *4 *5)) (-4 *3 (-847))
-   (-4 *4 (-13 (-172) (-714 (-407 (-564))))) (-14 *5 (-918))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-660 *3 *4)) (-4 *3 (-847))
+   (-4 *4 (-13 (-172) (-714 (-407 (-564))))) (-5 *1 (-625 *3 *4 *5))
+   (-14 *5 (-918))))
  ((*1 *2 *2)
   (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
    (-5 *1 (-1155 *3))))
@@ -12585,323 +12638,462 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-768)) (-5 *1 (-1279 *3 *4))
    (-4 *4 (-714 (-407 (-564)))) (-4 *3 (-847)) (-4 *4 (-172))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *3 (-1213)) (-4 *5 (-1235 *3)) (-4 *6 (-1235 (-407 *5)))
+   (-5 *2 (-112)) (-5 *1 (-341 *4 *3 *5 *6)) (-4 *4 (-342 *3 *5 *6))))
+ ((*1 *2 *3 *3)
+  (-12 (-4 *1 (-342 *3 *4 *5)) (-4 *3 (-1213)) (-4 *4 (-1235 *3))
+   (-4 *5 (-1235 (-407 *4))) (-5 *2 (-112))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-594 *2)) (-4 *2 (-38 (-407 (-564)))) (-4 *2 (-1046))))) 
+(((*1 *2) (-12 (-5 *2 (-379)) (-5 *1 (-1037))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *1 (-594 *2)) (-4 *2 (-38 (-407 (-564)))) (-4 *2 (-1046))))) 
+(((*1 *2 *1)
+  (-12 (-4 *2 (-1094)) (-5 *1 (-961 *2 *3)) (-4 *3 (-1094))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-13 (-847) (-556) (-1035 (-564)))) (-5 *2 (-1264))
+   (-5 *1 (-433 *3 *4)) (-4 *4 (-430 *3))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-859))) (-5 *1 (-859))))
+ ((*1 *2 *1)
+  (-12
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 (((*1 *2 *3)
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-   (-4 *3
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-   (-5 *2 (-685 *5))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-924))))) 
-(((*1 *1) (-5 *1 (-1260)))) 
+  (-12 (-5 *2 (-641 (-1152))) (-5 *1 (-826)) (-5 *3 (-1152))))) 
 (((*1 *2 *3)
   (|partial| -12 (-5 *3 (-52)) (-5 *1 (-51 *2)) (-4 *2 (-1209))))
  ((*1 *1 *2)
@@ -12977,26 +13169,26 @@
       (-4 *1 (-973 *3 *4 *5 *6))))
  ((*1 *2 *1) (|partial| -12 (-4 *1 (-1035 *2)) (-4 *2 (-1209))))
  ((*1 *1 *2)
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+  (|partial| -2713
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-        (-4253 (-4 *3 (-38 (-564)))) (-4 *5 (-612 (-1170))))
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        (-4 *3 (-1046)) (-4 *1 (-1060 *3 *4 *5)) (-4 *4 (-790))
        (-4 *5 (-847)))
       (-12 (-5 *2 (-949 *3))
-       (-12 (-4253 (-4 *3 (-545))) (-4253 (-4 *3 (-38 (-407 (-564)))))
+       (-12 (-2819 (-4 *3 (-545))) (-2819 (-4 *3 (-38 (-407 (-564)))))
         (-4 *3 (-38 (-564))) (-4 *5 (-612 (-1170))))
        (-4 *3 (-1046)) (-4 *1 (-1060 *3 *4 *5)) (-4 *4 (-790))
        (-4 *5 (-847)))
       (-12 (-5 *2 (-949 *3))
-       (-12 (-4253 (-4 *3 (-989 (-564)))) (-4 *3 (-38 (-407 (-564))))
+       (-12 (-2819 (-4 *3 (-989 (-564)))) (-4 *3 (-38 (-407 (-564))))
         (-4 *5 (-612 (-1170))))
        (-4 *3 (-1046)) (-4 *1 (-1060 *3 *4 *5)) (-4 *4 (-790))
        (-4 *5 (-847)))))
  ((*1 *1 *2)
-  (|partial| -4012
+  (|partial| -2713
       (-12 (-5 *2 (-949 (-564))) (-4 *1 (-1060 *3 *4 *5))
-       (-12 (-4253 (-4 *3 (-38 (-407 (-564))))) (-4 *3 (-38 (-564)))
+       (-12 (-2819 (-4 *3 (-38 (-407 (-564))))) (-4 *3 (-38 (-564)))
         (-4 *5 (-612 (-1170))))
        (-4 *3 (-1046)) (-4 *4 (-790)) (-4 *5 (-847)))
       (-12 (-5 *2 (-949 (-564))) (-4 *1 (-1060 *3 *4 *5))
@@ -13006,447 +13198,197 @@
   (|partial| -12 (-5 *2 (-949 (-407 (-564)))) (-4 *1 (-1060 *3 *4 *5))
       (-4 *3 (-38 (-407 (-564)))) (-4 *5 (-612 (-1170)))
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 (((*1 *2 *3)
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- ((*1 *2 *1)
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+  (-12 (-5 *3 (-1170))
+   (-4 *4 (-13 (-847) (-307) (-1035 (-564)) (-637 (-564)) (-147)))
+   (-5 *2 (-1 *5 *5)) (-5 *1 (-801 *4 *5))
+   (-4 *5 (-13 (-29 *4) (-1194) (-956)))))) 
+(((*1 *1 *1)
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 (((*1 *2 *2 *3)
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@@ -13457,389 +13399,376 @@
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-     (|:| |upperSingular|
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-     (|:| |bothSingular| "There are singularities at both end points")
-     (|:| |notEvaluated| "End point continuity not yet evaluated")))
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+ ((*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1))))
+ ((*1 *2 *3) (-12 (-5 *3 (-949 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1))))
+ ((*1 *2 *1 *3)
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+(((*1 *2 *2)
+  (-12 (-5 *2 (-641 *3)) (-4 *3 (-1235 (-564))) (-5 *1 (-486 *3))))) 
+(((*1 *2 *2 *3 *3)
+  (|partial| -12 (-5 *3 (-1170))
+      (-4 *4 (-13 (-307) (-847) (-147) (-1035 (-564)) (-637 (-564))))
+      (-5 *1 (-575 *4 *2))
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 (((*1 *2 *3)
-  (-12 (-5 *3 (-114)) (-4 *4 (-13 (-847) (-556))) (-5 *2 (-112))
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- ((*1 *2 *3)
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- ((*1 *2 *3)
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-(((*1 *2 *3 *3 *3)
-  (-12 (-5 *3 (-641 (-564))) (-5 *2 (-685 (-564))) (-5 *1 (-1104))))) 
-(((*1 *2 *2 *2)
-  (-12 (-4 *2 (-13 (-363) (-10 -8 (-15 ** ($ $ (-407 (-564)))))))
-   (-5 *1 (-1122 *3 *2)) (-4 *3 (-1235 *2))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1032)) (-5 *1 (-755))))) 
-(((*1 *1 *1 *1)
-  (-12 (|has| *1 (-6 -4413)) (-4 *1 (-119 *2)) (-4 *2 (-1209))))) 
+  (|partial| -12 (-5 *3 (-1259 *5)) (-4 *5 (-637 *4)) (-4 *4 (-556))
+      (-5 *2 (-1259 *4)) (-5 *1 (-636 *4 *5))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-641 (-610 *5))) (-4 *4 (-847)) (-5 *2 (-610 *5))
+   (-5 *1 (-573 *4 *5)) (-4 *5 (-430 *4))))) 
 (((*1 *1 *1) (-12 (-5 *1 (-673 *2)) (-4 *2 (-847))))
  ((*1 *1 *1) (-12 (-5 *1 (-816 *2)) (-4 *2 (-847))))
  ((*1 *1 *1) (-12 (-5 *1 (-890 *2)) (-4 *2 (-847))))
@@ -13849,28 +13778,14 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-768)) (-4 *1 (-1247 *3)) (-4 *3 (-1209))))
  ((*1 *1 *1) (-12 (-4 *1 (-1247 *2)) (-4 *2 (-1209))))) 
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-  (-12 (-4 *3 (-1094)) (-5 *1 (-882 *2 *3 *4)) (-4 *2 (-1094))
-   (-4 *4 (-662 *3))))
- ((*1 *1) (-12 (-5 *1 (-886 *2 *3)) (-4 *2 (-1094)) (-4 *3 (-1094))))) 
-(((*1 *2 *3 *3 *3 *4)
-  (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1032))
-   (-5 *1 (-754))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-859)) (-5 *2 (-1152)) (-5 *1 (-707))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-768)) (-4 *6 (-1094)) (-4 *3 (-897 *6))
-   (-5 *2 (-685 *3)) (-5 *1 (-688 *6 *3 *7 *4)) (-4 *7 (-373 *3))
-   (-4 *4 (-13 (-373 *6) (-10 -7 (-6 -4412))))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-923))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-225) (-225))) (-5 *1 (-318)) (-5 *3 (-225))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-641 (-962))) (-5 *1 (-109))))
- ((*1 *2 *1) (-12 (-5 *2 (-45 (-1152) (-771))) (-5 *1 (-114))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-556))
-   (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3)))
-   (-5 *1 (-966 *4 *3)) (-4 *3 (-1235 *4))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1170)) (-5 *2 (-379)) (-5 *1 (-1058))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-452)) (-4 *4 (-790)) (-4 *5 (-847))
+   (-4 *6 (-1060 *3 *4 *5)) (-5 *2 (-1264))
+   (-5 *1 (-1067 *3 *4 *5 *6 *7)) (-4 *7 (-1066 *3 *4 *5 *6))))
+ ((*1 *2)
+  (-12 (-4 *3 (-452)) (-4 *4 (-790)) (-4 *5 (-847))
+   (-4 *6 (-1060 *3 *4 *5)) (-5 *2 (-1264))
+   (-5 *1 (-1102 *3 *4 *5 *6 *7)) (-4 *7 (-1066 *3 *4 *5 *6))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
@@ -13887,18 +13802,40 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
    (-5 *1 (-1156 *3))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-794 *2)) (-4 *2 (-172))))) 
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-   (-4 *5 (-373 *3)) (-5 *2 (-2 (|:| -3031 *3) (|:| -2550 *3)))
-   (-5 *1 (-684 *3 *4 *5 *6)) (-4 *6 (-683 *3 *4 *5))))
- ((*1 *2 *3 *3)
-  (-12 (-5 *2 (-2 (|:| -3031 *3) (|:| -2550 *3))) (-5 *1 (-696 *3))
-   (-4 *3 (-307))))) 
 (((*1 *2 *2 *2)
-  (-12 (-5 *2 (-685 *3)) (-4 *3 (-1046)) (-5 *1 (-686 *3))))
- ((*1 *2 *2 *2 *2)
-  (-12 (-5 *2 (-685 *3)) (-4 *3 (-1046)) (-5 *1 (-686 *3))))) 
+  (-12 (-5 *2 (-685 *3))
+   (-4 *3 (-13 (-307) (-10 -8 (-15 -1798 ((-418 $) $)))))
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+(((*1 *2) (-12 (-5 *2 (-1141 (-1152))) (-5 *1 (-391))))) 
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+  (-12 (-5 *3 (-564)) (-4 *1 (-57 *4 *5 *2)) (-4 *4 (-1209))
+   (-4 *5 (-373 *4)) (-4 *2 (-373 *4))))
+ ((*1 *2 *1 *3)
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+(((*1 *2 *3 *1)
+  (-12 (-5 *3 (-1170)) (-5 *2 (-687 (-109))) (-5 *1 (-175))))
+ ((*1 *2 *3 *1)
+  (-12 (-5 *3 (-1170)) (-5 *2 (-687 (-109))) (-5 *1 (-1079))))) 
+(((*1 *1 *1) (-5 *1 (-1058)))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-1 *7 *7))
+   (-5 *5
+    (-1 (-2 (|:| |ans| *6) (|:| -3602 *6) (|:| |sol?| (-112))) (-564)
+     *6))
+   (-4 *6 (-363)) (-4 *7 (-1235 *6))
+   (-5 *2 (-2 (|:| |answer| (-585 (-407 *7))) (|:| |a0| *6)))
+   (-5 *1 (-574 *6 *7)) (-5 *3 (-407 *7))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-556))
+   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3378 *4)))
+   (-5 *1 (-966 *4 *3)) (-4 *3 (-1235 *4))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5)
+  (-12 (-5 *3 (-1 (-379) (-379))) (-5 *4 (-379))
+   (-5 *2
+    (-2 (|:| -1411 *4) (|:| -2632 *4) (|:| |totalpts| (-564))
+     (|:| |success| (-112))))
+   (-5 *1 (-786)) (-5 *5 (-564))))) 
 (((*1 *2 *1)
   (-12 (-4 *1 (-602 *3 *2)) (-4 *3 (-1094)) (-4 *3 (-847))
    (-4 *2 (-1209))))
@@ -13913,118 +13850,222 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-768)) (-4 *1 (-1247 *3)) (-4 *3 (-1209))))
  ((*1 *2 *1) (-12 (-4 *1 (-1247 *2)) (-4 *2 (-1209))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-838)) (-5 *2 (-1032)) (-5 *1 (-837))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-641 (-316 (-379)))) (-5 *4 (-641 (-379)))
-   (-5 *2 (-1032)) (-5 *1 (-837))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-641 (-247 *4 *5))) (-5 *2 (-247 *4 *5))
+   (-14 *4 (-641 (-1170))) (-4 *5 (-452)) (-5 *1 (-629 *4 *5))))) 
+(((*1 *1 *1) (-4 *1 (-35)))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
+   (-4 *2 (-13 (-430 *3) (-999)))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3))
+   (-5 *1 (-278 *3 *4 *2)) (-4 *2 (-1221 *3 *4))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1219 *3))
+   (-5 *1 (-279 *3 *4 *2 *5)) (-4 *2 (-1242 *3 *4)) (-4 *5 (-980 *4))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
+   (-5 *1 (-1155 *3))))
+ ((*1 *2 *2)
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+  (-12
+   (-5 *3
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+     (|:| |polj| *7)))
+   (-4 *5 (-790)) (-4 *7 (-946 *4 *5 *6)) (-4 *4 (-452)) (-4 *6 (-847))
+   (-5 *2 (-112)) (-5 *1 (-449 *4 *5 *6 *7))))) 
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+  (|partial| -12 (-5 *3 (-114)) (-4 *2 (-1094)) (-4 *2 (-847))
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 (((*1 *2 *1)
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 (((*1 *2 *3)
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 (((*1 *2)
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 (((*1 *2 *3 *4)
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 (((*1 *2 *3)
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 (((*1 *2 *3)
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 (((*1 *2 *3)
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 (((*1 *2 *3)
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- ((*1 *2 *3 *3)
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+ ((*1 *2 *3 *4 *4)
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 (((*1 *2 *1)
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-(((*1 *2 *2)
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-(((*1 *1 *1) (-4 *1 (-545)))) 
-(((*1 *2 *3 *4 *2 *2 *5)
-  (|partial| -12 (-5 *2 (-840 *4)) (-5 *3 (-610 *4)) (-5 *5 (-112))
-      (-4 *4 (-13 (-1194) (-29 *6)))
-      (-4 *6 (-13 (-452) (-847) (-1035 (-564)) (-637 (-564))))
-      (-5 *1 (-224 *6 *4))))) 
-(((*1 *2 *2 *2) (-12 (-5 *1 (-159 *2)) (-4 *2 (-545))))) 
+  (-12 (-4 *1 (-253 *3 *4 *2 *5)) (-4 *3 (-1046)) (-4 *4 (-847))
+   (-4 *5 (-790)) (-4 *2 (-266 *4))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-556)) (-4 *5 (-790)) (-4 *6 (-847)) (-5 *2 (-641 *3))
+   (-5 *1 (-974 *4 *5 *6 *3)) (-4 *3 (-1060 *4 *5 *6))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-564)) (-5 *1 (-692 *2)) (-4 *2 (-1235 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-130)) (-5 *1 (-1179))))) 
 (((*1 *2)
   (-12 (-14 *4 *2) (-4 *5 (-1209)) (-5 *2 (-768))
    (-5 *1 (-237 *3 *4 *5)) (-4 *3 (-238 *4 *5))))
@@ -14051,94 +14092,98 @@
  ((*1 *2 *1)
   (-12 (-4 *2 (-13 (-845) (-363))) (-5 *1 (-1056 *2 *3))
    (-4 *3 (-1235 *2))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-280))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-889 *3)) (-4 *3 (-1094))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1276 *3 *4)) (-4 *3 (-847)) (-4 *4 (-1046))
-   (-5 *2 (-112))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1282 *3 *4)) (-4 *3 (-1046))
-   (-4 *4 (-843))))) 
-(((*1 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-326 *2 *3)) (-4 *2 (-1046)) (-4 *3 (-789))
-   (-4 *2 (-452))))
+(((*1 *2) (-12 (-5 *2 (-871)) (-5 *1 (-1262))))
+ ((*1 *2 *2) (-12 (-5 *2 (-871)) (-5 *1 (-1262))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-847) (-556))) (-5 *1 (-276 *3 *2))
+   (-4 *2 (-13 (-430 *3) (-999)))))
+ ((*1 *2 *2)
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+   (-5 *1 (-278 *3 *4 *2)) (-4 *2 (-1221 *3 *4))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1219 *3))
+   (-5 *1 (-279 *3 *4 *2 *5)) (-4 *2 (-1242 *3 *4)) (-4 *5 (-980 *4))))
+ ((*1 *1 *1) (-4 *1 (-493)))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
+   (-5 *1 (-1155 *3))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564))))
+   (-5 *1 (-1156 *3))))) 
+(((*1 *2 *3)
+  (-12 (|has| *2 (-6 (-4414 "*"))) (-4 *5 (-373 *2)) (-4 *6 (-373 *2))
+   (-4 *2 (-1046)) (-5 *1 (-104 *2 *3 *4 *5 *6)) (-4 *3 (-1235 *2))
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+(((*1 *2 *2)
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  ((*1 *1 *1)
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-   (-4 *2 (-847)) (-4 *3 (-452))))
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+(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *3 *5)
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 (((*1 *2 *3)
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- ((*1 *2 *3 *4)
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-   (-5 *1 (-296))))) 
-(((*1 *2 *3 *4 *4 *5 *6)
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-   (-5 *1 (-1263))))
- ((*1 *2 *3 *4)
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-   (-5 *2 (-1260)) (-5 *1 (-1263))))) 
-(((*1 *2 *1 *3 *3 *2)
-  (-12 (-5 *3 (-564)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1209))
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- ((*1 *2 *1 *3 *2)
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-   (-4 *2 (-1209))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1150 *3)) (-5 *1 (-174 *3)) (-4 *3 (-307))))) 
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-225)) (|:| |xend| (-225))
+     (|:| |fn| (-1259 (-316 (-225)))) (|:| |yinit| (-641 (-225)))
+     (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225)))
+     (|:| |abserr| (-225)) (|:| |relerr| (-225))))
+   (-5 *2 (-379)) (-5 *1 (-205))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-980 *2)) (-4 *2 (-1194))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-641 (-641 *3))) (-4 *3 (-1094)) (-5 *1 (-902 *3))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-316 (-225))) (-5 *4 (-1170))
+   (-5 *5 (-1088 (-840 (-225)))) (-5 *2 (-641 (-225))) (-5 *1 (-192))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-316 (-225))) (-5 *4 (-1170))
+   (-5 *5 (-1088 (-840 (-225)))) (-5 *2 (-641 (-225))) (-5 *1 (-300))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-418 *3)) (-5 *1 (-911 *3)) (-4 *3 (-307))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-1046)) (-5 *1 (-709 *3 *2)) (-4 *2 (-1235 *3))))) 
+(((*1 *1 *2 *3) (-12 (-5 *2 (-768)) (-5 *1 (-103 *3)) (-4 *3 (-1094))))) 
 (((*1 *2 *3 *4 *2)
   (-12 (-5 *4 (-1 *2 *2)) (-4 *2 (-644 *5)) (-4 *5 (-1046))
    (-5 *1 (-53 *5 *2 *3)) (-4 *3 (-849 *5))))
@@ -14148,998 +14193,483 @@
  ((*1 *2 *3 *2 *2 *4 *5)
   (-12 (-5 *4 (-99 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-1046))
    (-5 *1 (-850 *2 *3)) (-4 *3 (-849 *2))))) 
-(((*1 *1 *2 *3)
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-(((*1 *2 *2) (-12 (-5 *2 (-225)) (-5 *1 (-257))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-1060 *2 *3 *4)) (-4 *2 (-1046)) (-4 *3 (-790))
-   (-4 *4 (-847)) (-4 *2 (-556))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-594 *2)) (-4 *2 (-38 (-407 (-564)))) (-4 *2 (-1046))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-940 *3)) (-4 *3 (-13 (-363) (-1194) (-999)))
-   (-5 *1 (-176 *3))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1066 *4 *5 *6 *3)) (-4 *4 (-452)) (-4 *5 (-790))
-   (-4 *6 (-847)) (-4 *3 (-1060 *4 *5 *6)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *4 (-452)) (-4 *5 (-790)) (-4 *6 (-847))
-   (-4 *3 (-1060 *4 *5 *6))
-   (-5 *2 (-641 (-2 (|:| |val| (-112)) (|:| -4011 *1))))
-   (-4 *1 (-1066 *4 *5 *6 *3))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1046))
-   (-14 *4 (-641 (-1170)))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-52)) (-5 *2 (-112)) (-5 *1 (-51 *4)) (-4 *4 (-1209))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-223 *3 *4)) (-4 *3 (-13 (-1046) (-847)))
-   (-14 *4 (-641 (-1170)))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-668 *3)) (-4 *3 (-847))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-673 *3)) (-4 *3 (-847))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-890 *3)) (-4 *3 (-847))))) 
-(((*1 *1 *2 *1)
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-   (-4 *4 (-373 *3)) (-4 *5 (-373 *3))))
- ((*1 *1 *2 *1)
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-   (-4 *3 (-1209))))) 
-(((*1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-1003))))
- ((*1 *2 *2) (-12 (-5 *2 (-564)) (-5 *1 (-1003))))) 
-(((*1 *2 *2 *3)
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-(((*1 *1 *1 *1)
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-(((*1 *2 *1)
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+   (-5 *3
+    (-2
+     (|:| |endPointContinuity|
+          (-3 (|:| |continuous| "Continuous at the end points")
+           (|:| |lowerSingular|
+                "There is a singularity at the lower end point")
+           (|:| |upperSingular|
+                "There is a singularity at the upper end point")
+           (|:| |bothSingular|
+                "There are singularities at both end points")
+           (|:| |notEvaluated|
+                "End point continuity not yet evaluated")))
+     (|:| |singularitiesStream|
+          (-3 (|:| |str| (-1150 (-225)))
+           (|:| |notEvaluated|
+                "Internal singularities not yet evaluated")))
+     (|:| -1743
+          (-3 (|:| |finite| "The range is finite")
+           (|:| |lowerInfinite| "The bottom of range is infinite")
+           (|:| |upperInfinite| "The top of range is infinite")
+           (|:| |bothInfinite|
+                "Both top and bottom points are infinite")
+           (|:| |notEvaluated| "Range not yet evaluated")))))
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-  (|partial| -12 (-5 *2 (-1056 (-1021 *3) (-1166 (-1021 *3))))
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    (-5 *2
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    (-5 *2
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    (-5 *2
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   (-12
    (-5 *2
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   (-12
    (-5 *2
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   (-12 (-5 *4 (-407 (-564)))
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-      (-5 *2
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-        (|:| |endPointContinuity|
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-              (|:| |lowerSingular|
-                   "There is a singularity at the lower end point")
-              (|:| |upperSingular|
-                   "There is a singularity at the upper end point")
-              (|:| |bothSingular|
-                   "There are singularities at both end points")
-              (|:| |notEvaluated|
-                   "End point continuity not yet evaluated")))
-        (|:| |singularitiesStream|
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-              (|:| |notEvaluated|
-                   "Internal singularities not yet evaluated")))
-        (|:| -4167
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-              (|:| |lowerInfinite| "The bottom of range is infinite")
-              (|:| |upperInfinite| "The top of range is infinite")
-              (|:| |bothInfinite|
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-              (|:| |notEvaluated| "Range not yet evaluated")))))
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-\ No newline at end of file
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+\ No newline at end of file
author	dos-reis <gdr@axiomatics.org>	2009-05-09 22:31:07 +0000
committer	dos-reis <gdr@axiomatics.org>	2009-05-09 22:31:07 +0000
commit	2e9dc79676f737f2b905560a8a70d8fbed27b04a (patch)
tree	d60514a4e0de2779d03b35d4441998e96f3549c4 /src/share/algebra
parent	4b4a0dc6ce39b7ee849f81ddf66355713f0cbf27 (diff)
download	open-axiom-2e9dc79676f737f2b905560a8a70d8fbed27b04a.tar.gz